Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow

Balbharti Yuvakbharati English 12th Digest Chapter 2.4 Have you Earned Your Tomorrow Notes, Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow

12th English Digest Chapter 2.4 Have you Earned Your Tomorrow Textbook Questions and Answers

Question 1.
Complete the following web
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow 1
Answer:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow 2

Question 2.
Discuss with your paitner about the different idioms/proverbs related to word ‘tomorrow’.
Answer:
(a) Never put off until tomorrow what you can do today.
(b) Tomorrow’s battle is won during today’s practice. (Japanese Proverb)
(c) Today must not borrow from tomorrow. [German Proverb]
(d) Yesterday, today and tomorrow – these are the three days of man.. [Chinese Proverb]

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow

Question 3.
When you make your future plans you think of:
Answer:

  1. Career
  2. Higher studies
  3. Retirement-plans/Financial security
  4. Family life
  5. Goal in life to be accomplished

Question 4.
‘Plan your tomorrow’ by completing the table given below.
Answer:

Examination College Function Function at your home
Complete studying portion Preparing the list of duties Cleaning the house
Clarify doubts Delegate jobs Arrangements for sending invites, preparation and service of food
Revision Confirm date/ time with resource people Seating arrangements and other conveniences for guests

(A1)

Question 1.
Discuss with your friend how she/he spent the whole day that was beneficial for others.
Points:
(a) visited retirement home/time spent with elderly residents
(b) spent time conversing about their children/ grandchildren/ looking at photos,
(c) taught some of them how to use the internet to communicate/learned some traditional recipes
(d) promised to visit often regularly

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow

(A2)

Question (i)
……..’was it well or sorely spent’? Explain the meaning and give illustrations.
Answer:
The poet asks the reader again and again if he/she spent each day well or wasted it -‘sorely spent’. We all are busy with our own lives, acting for our own benefit. The poet inspires us to be mindful and must be of use to the world around us. The poet prompts us to speak kindly and unselfishly help, at least one fellow human everyday. The message is implied throughout the poem.

He asks if you have made one person happy, some stranger who had lost all hope, to find some hope again. So he will speak well of you. Is someone grateful to you at the end of (each) the day?

Question (ii)
‘As you close your eyes in slumber do you think that God would say,
You have earned one more tomorrow by the work you did today?’
Elaborate the idea expressed in these lines.
Answer:
The poet indirectly means that each day we exist we must make our living useful. We are not sure if we shall wake in the morning. We pray we do. But for God to grant us one more day -tomorrow – we have to justify our existence today. Did we put today to use? Did we help at least one fellow-human? Did we extend the help without expecting any returns?

Did at least one person feel grateful for your act of help? If nothing, we can make the effort to speak a kind word to a stranger we may pass by in our daily hurry. So one has live mindfully, unselfishly and look for ways to be of help to someone in need. That is the minimum expected by God. Or to have lived as a human would be futile.

Question (iii)
The poet suggests that one should do good to others. Complete the table by giving examples of doing good to following people.
Answer:

Family members Friends Neighbours
Help with household chores/run errands Be ready to help in unexpected situations. Be mindful not to intrude or cause disturbance.
Take care if someone is sick. Share resources whenever possible. Be cooperative when we all have to work together for the common good.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow

(A3)

Question (i)
Pick out the describing words from the poem and add a noun of your own.
Answer:

(Toiling) time (Toiling) time
(Happier) anybody (Kindly) word
(Cheerful) greeting (Churlish) howdy
(Grateful) someone (Rejoicing) heart
(Fading) hopes (Slipping) days

Question (ii)
Match the words given in column A with their meaning in column B:

A B
1. Cheerful (a) With the feeling of disappointment
2. Selfish (b) lack of satisfaction
3. Sorely (c) happy
4. Discontent (d) concerned with one’s own pleasure

Answer:

  1. Cheerful – happy
  2. Selfish – concerned with one’s own pleasure
  3. Sorely – with the feeling of disappointment
  4. Discontent – lack of satisfaction

Question (iii)
There are a few examples of homonyms in the poem. For example ‘spoke’. List homonyms from the poem and give their meanings.
Answer:
Passed:

  1. (of a candidate) be successful in (an examination, test, or course).
  2. went past/left behind Deed:
  3. an action that is performed intentionally or consciously.
  4. a legal document that is signed and delivered, especially one regarding the ownership of property or legal rights.

Waste:
1. use or expend carelessly, extravagantly, or to no purpose.
(of a person or a part of the body) become progressively weaker and more emaciated.
2. (of a material, substance, or by-product) eliminated or discarded as no longer useful or required after the completion of a process.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow

Question (iv)
Find out expressions/phrases which denote, ‘going away’ from each stanza.
Answer:

  1. Stanza 1: “is almost over”
  2. Stanza 1: “passed his way”
  3. Stanza 1: “is almost over”
  4. Stanza 2: “vanish in the throng”
  5. Stanza 2: “rushed along”
  6. Stanza 3: “were fading now”

(A4)

Question (i)
The poet has used different poetic devices like Alliteration and Interrrogation in the poem. Identify them and pick out the lines.
Answer:

Poetic Device Lines
1. Alliteration ‘Were you selfish pure and simple as you rushed along the way’
‘As you close your eyes in slumber do you think that God would say’,
(The sounds ‘s’ & ‘sh’ are repeated in both lines.)
2. Interrogation The first, the second and the fourth lines of stanzas 1, 2 and 4 are all questions – Interrogation.
The second and fourth lines in the stanza 3 are questions.

Question (ii)
The rhyme scheme of the first stanza is ‘aabb’. Find the rhyme scheme of other stanzas.
Answer:
The rhyme scheme of all the stanzas is ‘aabb’.

(A5)

Question (i)
Write the appreciation of this poem based on the points given below :

  • About the poem/ poet and the title
  • The theme
  • Poetic style
  • The language/poetic devices used in the poem
  • Special features
  • Message, Values, Morals in the poem
  • Your opinion about the poem

Answer:
The poet, Edgar Guest’s “Have you Earned your Tomorrow”, is a thought provoking composition. The title itself pushes our mind to wonder if today we have done something useful.

It Urges the reader to be thoughtful in everyday life about the people around them. The poet puts forward questions. Each question forces us to ask ourselves if we are kind, unselfish, patient and thoughtful. In our everyday rush, to live our life only for our own benefit, we forget to consider the people nearby who may be less fortunate.

There is interrogation in eleven lines of the sixteen-line poem. The language is simple. There is alliteration and rhyme. The poem has four stanzas of four lines each. The first stanza has four lines, each having fourteen syllables. The second, third and fourth stanzas also with four lines, have fifteen syllables each.

The clear message of the poem is one’s life is meaningful only if it is useful for humanity at large. The poet says one’s conscience has to know that your existence is justified. Or one cannot feel he has the right to ask for one more day of life. It is an uplifting poem. We can take the message and begin implementing it in our life immediately and every day.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow

Question (ii)
Prepare a mind map on ‘How to plan a goal for tomorrow’ or ‘My future goal’. Take the help of points given in ‘Writing Skills Section’ for preparing a mind map.
Answer:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow 3
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow 4

Question (iii)
Write a set of 8 to 10 interview questions to be asked to a social worker. Take the help of the following points:

  • Childhood
  • Education
  • Service
  • Difficulties
  • Future plans
  • Achievements
  • Message

Answer:

  1. Good evening Rima ma’am. I would like to know a bit about your life. Could we begin with a walk down memory lane to your childhood?
  2. What was your hobby/past-time in your childhood?
  3. Which is the best memory during your school/high school/college years? Which phase did you enjoy the most?
  4. You have moved to different cities due to your father’s job. Which is the city/town which you loved living in the most?
  5. How did you get into social service? Who was your role model or inspiration?
  6. What were the challenges and difficulties that caused any setback in your life?
  7. What plans do you have for the future? Would you mind sharing a little of those with your fans?
  8. There are many achievements you have seen. Which is the most important according to you?
  9. What is the message you want to give to those in this noble field? What would be your tip especially for youngsters?

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow

Question (iv)
Compose 4-6 lines on your own on ‘Good deeds’.
Answer:
‘Good deeds’
The tree gives shade and fruits it does not eat
The river flows cool and sweet of water it doesn’t drink.
When a stranger sad or in need you may meet
Be sure you lift him up, not let him into despair sink.

(A6)

Question (i)
Find out different career opportunities in the field of social work.

Question (ii)
Collect information of the NGOs working for the underprivileged section of the society.

Yuvakbharati English 12th Digest Chapter 2.4 Have you Earned Your Tomorrow Additional Important Questions and Answers

Read the poem and complete the activities given below:

Personal Response:

Question 1.
Describe the various ways you use to greet your elder.
Answer:
Whenever we meet our elders we greet them with great respect and love. Through the length and breadth of our country touching the feet of elders is the tradition. We also fold our palms in the very Indian greeting of ‘Namaste’. This comes from the word ‘Namaskaar’. In south India touching people is not a normal custom. Younger people prostrate full length before elders such as parents, uncles-aunts, gurus and even older siblings. In north India the younger bend before the elders and ladies cover their head with the shawl or sari edge. Age is a very significant factor. The greeting is always a gesture of respect and the elders respond affectionately by showering blessings.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.4 Have you Earned Your Tomorrow

Poetic Devices:

Question 1.
Identify an example of synecdoche from the poem.
Answer:
‘Is a single heart rejoicing over what you did or said;’
The word ‘heart’, 3rd line of the 3rd stanza is an example of synecdoche.
The word heart – a part – refers to a whole or the person who is rejoicing.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Balbharti Yuvakbharati English 12th Digest Chapter 2.3 The Inchcape Rock Notes, Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

12th English Digest Chapter 2.3 The Inchcape Rock Textbook Questions and Answers

Question 1.
Prepare a word register related to marine life:
Answer:
sailors; ship; tides; winds; seabed; anchor; captain; submarine; international-waters; port; harbour; shipyard; patrol; trawler; sail; port; starboard; deep-sea.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Question 2.
The functions of a lighthouse are:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock 1
Answer:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock 2

Question 3.
Discuss in pairs the various famous rocks in the world and mention the places where they are.
Answer:

Famous Rock Place
Balancing Rock (Krishna’s butter-ball)

250 tons – balanced on a slope attempts to move it for safety remains v unsuccessful The Trimurti Cave-dedicated to trinity Brahma, Vishnu and Shiva

Protected by ASI and UNESCO

Mahabalipuram
Ayer’s Rock

Called Uluru by Australian Aboriginal has carvings- paintings.
Composed of sandstone The rock changes colour according to position of Sun; most striking at sunset, coloured a fiery orange-red

Central Australia
Giant’s Causeway – Most of the columns hexagonal, – some four/ five/ seven/ eight sided made up of some 40,000 interlocking basalt columns one of the great natural wonders – World Heritage Site Northern Ireland
Sigiriya rock plateau, formed from magma of an extinct volcano, 200 metres high; UNESCO Heritage Site

Ancient hydraulic system – canals, locks, lakes, dams, bridges, fountains, surface/underground water pumps.

In rainy season, water begins to circulate in Sigiriya. Fountains built in Fifth century – oldest in the world.

Sri Lanka

Question 4.
Narrate in the class a story about someone who destroyed or spoilt someone else’s good work.
(Points: A bright Student-Punctual, cheerful, intelligent-Helpful to classmates, explains and lends notes-Tutored junior class students- Jealous group tears up notes before exams-Is able to study with the friends whom he/she helped-The jealous group is outwitted)

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Question 5.
Discuss the following expressions in pairs/groups. Take the help of your teacher.
(a) As you sow so shall you reap.
(b) Crime gets its own punishment
(c) What goes around comes around
(d) Tit for tat
(e) Evil digs a pit for others but falls into the same.
Answer:
All the above are idioms and proverbs. They all convey the same meaning. They all mean that when a person acts with a certain intention, the results will be the same as the action. If the intentions are good the person will benefit from rewards. If the intentions are evil he will be punished.

(A1)

Question 1.
Narrate in groups the scene described in the beginning of the poem.
Points:
A clear calm day at sea
The sea was quiet – the ship is still
The wind is not blowing – the sails unmoving
The waves do not move the Bell
All these point fin first 3 stanzas] to a quiet sea and
calm weather one morning in spring.

(A2)

Question (i)
Complete the following statement:
The Abbot of Aberbrothok placed a bell on the Inchcape Rock because
Answer:
The Abbot of Aberbrothok placed a bell on the Inchcape Rock because there were dangerous rocks near the coast which would wreck ships.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Question (ii)
Given below are the events that give the theme of the poem in a jumbled form. Arrange in a proper sequence as per their occurrence.
(a) The waves were so small that they did not move enough to ring the bell at the Inchcape Rock.
(b) The Abbot of Aberbrothok had placed the bell on a buoy on the rock.
(c) There was a thick haze spread over the atmosphere.
(d) Ralph bent over from the boat.
(e) Sir Ralph cursed himself in despair and in his frustration tore his hair.
Answer:
(b) The Abbot of Aberbrothok had placed the bell on a buoy on the rock.
(a) The waves were so small that they did not move enough to ring the bell at the Inchcape Rock.
(d) Ralph bent over from the boat.
(c) There was a thick haze spread over the atmosphere.
(e) Sir Ralph cursed himself in despair and in his frustration tore his hair.

Question (iii)
Describe the qualities of the Abbot of Aberbrothok in your own words.
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock 3
Answer:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock 4

Question (iv)
‘Jealousy’ is the most incurable defect, Justify.
Answer:
When someone is in a better position of money or success or fame, there are people who feel that they should destroy that. This is jealousy. We can see people who have more, and we can also work hard to reach that position. But when someone wants to destroy that person who has reached the better position that is wickedness. The jealous person is not willing to work for that state. They will not accept a lesser place also. So a jealous mind-set slowly becomes completely evil.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Question (v)
‘But the Rover’s mirth was wickedness’. Explain this line in your own words with the help of the extract.
Answer:
The season of spring made everyone feel happy and light-hearted. The Rover was whistling and singing. But this joyful mood made him reckless. He wanted to trouble the Abbot. The Abbot had put a Bell there as a warning about the Inchcape Rock. Ralph rashly decided to undo his good work. The Rover was jealous of the Abbot who was blessed by grateful sailors. He wanted to trouble the Abbot of Aberbrothok.

(A3)

Question 1.
Some words in the poem are related to different parts of a ship or a mariner’s life. Given below are the meanings of those terms. Identify the word.
Answer:
(a) Helps in steering the ship-wheel
(b) The lowest part of the ship – keel
(c) Floating object that shows direction- buoy
(d) Another name for a ship-vessel
(e) Sinking – gurgling

(A4)

Question 1.
Select the appropriate figure of speech from the box given below and complete the table.
Answer:

Example FOS Explanation
No stir in the air, no stir in the sea Repetition Emphasizes the quiet stillness
On a buoy in the storm it floated and swung Alliteration The sound of the vowel ‘o’ is repeated
The ship was as still as she could be Personification The ship is spoken of as ‘she’ as if a human being

(A5)

Question (i)
Write the appreciation of this poem based on the points given below :

  • About the poem/poet and the title
  • The theme
  • Poetic style
  • The language/poetic devices used in the poem
  • Special features
  • Message, Values, Morals in the poem
  • Your opinion about the poem

Answer:
The Poem “The Inchcape Rock’ is about a real stretch of treacherous rocks near the Scottish coast. I Robert Southey wrote prose and other poems too. But this poem is well-liked. The title gives the clue that the rock is a part of an interesting story.

The theme is about an Abbot and a pirate. The Abbot is concerned for his fellow humans and helps to save sailors. He put the Inchcape Bell on a buoy to warn ships day and night of the terrible Inchcape Rock, during storms. [According to records, warning bell was placed.]

But the Rover in a fit of madness, on a spring day, cut the bell just to trouble the Abbot. Many months later, when the pirate was sailing towards Scotland, the weather was different. As the frightened sailors were caught in the dark stormy sea the pirate realised he had not troubled the Abbot but brought ruin for himself and his sailors.

The poem is a ballad. The story is told in stanzas of four lines, with aabb rhyme. The story is told in easy language. The poet uses many Old English words like ‘blest’, ‘Quoth’, and ‘canst’. The poet begins with spring, a metaphor for the pleasant mood, with a calm sea, still air and the ship in quiet waters. Repetition emphasizes the gladness in the heart.

The mood changes from mischief to wickedness. When the mist blocks the sun, metaphor makes the story gloomy, suspenseful. The nightfall is the metaphor for the dark situation for the ship, its sailors. They finally meet a violent end. There is alliteration which adds to the beauty of the poem.

The poem is a didactic one with a clear message – “When we try to trouble others, trouble first comes to the doer.” The story has a moral and is useful even in these times.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Question (ii)
Compose 4 to 6 lines on ‘Sea’ :
Answer:
Sea
I meet the sky far away, brothers of the same colour.
I mirror his white woolly sheep and birds.
I pull and push; deep down or sometimes upwards
In my cool-world, small and big creatures, softly slither.

(A6)

Question (i)
Expand the ideas on your own on the following topics:
(a) Pride goes before a fall.
(b) Time and tide wait for none.
(c) Man proposes, God disposes.
(d) Look before you leap.

Question (a)
Pride goes before a fall.
Answer:
There is a saying in Sanskrit that translates as “Knowledge brings humility.” The opposite would be that only an ignorant person would be proud or arrogant. A person becomes overconfident about himself or what he has. He starts thinking lowly of others. Only a harsh experience makes him see his stupidity.

There is a story about the God of riches who was drunk on his wealth. He invited all the other gods to a grand feast so that his wealth would be seen by them. He also invited Shiva and Parvati. They gently told him they would not be able to come, They said their son Ganesha would come instead. The host welcomed his guests.

Ganesha also arrived. The guests seated in a dazzling hall ate their fill of the lavish food. They praised the food, the hospitality and took leave impressed by the grandeur of everything there. But Ganesha was still being served. The host was stunned to see the servants running frantically to serve at the little boy’s speed of eating. The cooks were preparing more food. The puzzled King saw to it that Ganesha was served what he wanted.

Then word came from the kitchen that supplies were needed. Soon the supplies in adjacent villages were empty. Ganesha in anger chased the King till he ran to Shiva’s abode. Ganesha complained he was not fed. The King realized his foolishness trying jto impress the Lord and Mother with his riches. He went humbled, not able to feed one child.

Hence how much ever one possesses one must not think lowly of others. The right kind of knowledge makes a person more and more humble. Like the tree full of fruits bends lower and lower.

Question (ii)
The poem begins with:
‘Without either sign or sound of their shock, The waves flowed over the Inchcape Rock.’
It ends with:
On the basis of these lines explain the change in mood of the poem.
Answer:
At the beginning of the poem the season is spring, the weather is mild and the sea-waters are calm. The waves pour softly over the Inchcape Bell. The Heavy Bell on a buoy would ring due to strong waves only in stormy weather.

When the Rover cut the Bell it was spring season. The mood was happy, light-hearted. He was up to mischief in a rash, jolly mood on a lovely spring day. He wanted to only trouble the Abbot.

After undoing the Abbot’s good work the Rover went away on his criminal voyages. But when he was returning the sea was stormy. Wild winds threw the ship off course. The mood is of confusion and fear because a thick fog covered them from the sun. The mood is of suspense, the sailors are lost.

By nightfall they did not still know where they were. They are really and metaphorically in the dark. They could hear the waves crashing yet they did not know which land was near. There is fear. There was no wild wind but the rough sea was pulling their ship along. They desperately wanted some clue to help them to know their location. The ship shattered onto the rocks as the Rover yelled and cursed. The dramatic end is violent and filled with despair.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

(A7)

Question (i)
Read the tree diagrams and information given on pages 109-110 of the textbook and find out more information about opportunities in ‘on and off the shore’ the Indian Navy.
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock 5

Question (ii)
Required qualifications and various fields/opportunities for women to join in the Navy.
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock 6

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Question (iii)
Colleges that provide education in oceanography-
National Institute of Oceanography, Goa
National Institute of Oceanography, Mumbai
MBA (Logistic Shipping Management), IIKM Business School, Calicut, Kerala
Indira Gandhi College of Distance Education IGCDE, Tamil Nadu

Yuvakbharati English 12th Digest Chapter 2.3 The Inchcape Rock Additional Important Questions and Answers

Read the extract and complete the activities given below:

Global Understanding:

Question 1.
Give reasons for the sailors’ appreciation of the Abbot.
Answer:
There were some dangerous rocks near the Scottish coast. The Abbot of Aberbrothok had placed a buoy and fixed a bell on it, near those rocks. If the sea was rough sailors could spot the buoy. Even in the darkness the rough seas made the bell ring. So by day or night the Abbot’s bell saved the sailors and their ships from the rocks, and they blessed him.

Question 2.
Complete the following:
‘Wheel’d round’ here implies
Answer:
Wheel’d around here implies a flock of birds flying round in circles, which looks like a wheel.

Question 3.
Describe the state of mind of Ralph.
Answer:
Ralph the Rover also felt the effects of the season of spring. He felt very cheerful; he whistled and sang as he walked about on the deck. He was in an extremely happy state of mind but his joy was evil in intentions.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Question 4.
Complete the following:
Answer:
The pirate asked his men to row him over to the Inchcape Bell. He then bent over and cut the Bell from the buoy. He did so that the sailors of the next ship would no longer bless the Abbot for placing the warning Bell.

Question 5.
Choose the words and phrases that could describe Sir Ralph the Rover.
(a) Criminal
(b) Jealous
(c) Arrogant
(d) Vicious
(e) Spiteful
Answer:
All of the above

Question 6.
Choose the correct option:
On spotting the bell, Rover cut the bell from the buoy. This was an act of:
(a) Hatred
(b) Anger
(c) Jealousy
(d) Frustration
Answer:
(c) Jealousy

Question 7.
‘O Christ! It is the Inchcape Rock’ – Give reasons for Ralph’s Exclaimation.
Answer:
The Rover’s ship had struck the terrible rocks feared by sailors. Some time ago he himself had cut off the Bell put there by the blessed Abbot. Now his own ship had hit the Inchcape Rock and was going to sink with all his riches. He too was sure about to die.

Question 8.
Complete the following statements:
Answer:
1. The result of the thick haze that covered the sky was that the sailors had no way of knowing in which direction they were sailing.
2. The Rover in frustration pulled his hair and cursed himself because he himself had cut the Bell which would have rang and the sound would have helped them to save themselves from those killer-rocks.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Inference/Interpretation/Analysis:

Question 1.
The pirate is given the title ‘Sir’ though he was a feared criminal. He is called a ‘rover’. Give reasons for the same.
Answer:
Though he was a feared criminal Ralph was the captain of his ship. The crew may have addressed him ‘Sir’ which explains it attached to his name. A rover is a person, animal, or thing that roves, or wanders, Ralph the pirate roamed around on the seas looking for ships to attack and loot. Maybe that is why he was called Ralph the Rover.

Question 2.
The poet gives hints to the reader in the second stanza of the extract. Find the significant line from the extract and give reason for your answer.
Answer:
The second stanza of this extract tells about what the pirate did after removing the Bell. He roamed the seas and carried on his evil activities, killing and looting.

The last line is the hint of what is to happen later. ‘He steers his course for Scotland’s shore.’ The rover set the course ‘for Scotland’s shores’. This is significant because the treacherous Inchcape Rock was on the Scottish shores. So we get an idea that something may happen there.

Question 3.
Read the following lines and say what the situation was:
‘For me thinks we should be near the shore’. ‘Now where we are I cannot tell,’
Answer:
The sailors could hear the waves crashing on the shore. But they had been blown about by wild winds all day and so did not where they had reached. They did not know which land or shore was near. The situation was that danger was near.

Question 4.
Explain the danger implied in the two lines:
‘They hear no sound, the swell is strong; Though the wind hath fallen they drift along,’
Answer:
There was no sound except the breakers crashing on a nearby shore. There was no wind. But the sea was rough and the strong sea pulled the helpless ship along. The sailors were confused and could not make out which was the safe direction.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Personal Response:

Question 1.
Write an account of something which you did out of concern for others.
Answer:
In our colony there is a young couple living with twin toddlers and elderly parents. The young man is a doctor and his working hours are sometimes unpredictable.

My family is aware of this and we help in small ways. I help the elderly lady to take a walk on the street and my brother helps the gentleman. I also help the young mother to mind the small children if she has to go out shopping. I sometimes run errands for them too.

Question 2.
Give your opinion on the following line and explain its significance.
‘Quoth Sir Ralph, ‘The next who comes to the Rock
Won’t bless the Abbot of Aberbrothok.’
Answer:
The Pirate says these words after he cut the Bell placed by the Abbot. The Abbot had placed it for saving others. This act had brought fame for the Abbot and also the blessings of the many sailors that were saved. But the pirate was jealous of the fame. He cut the Bell thinking to harm the Abbot. When someone is concerned about others they are not looking for fame. But a selfish person is blinded by jealousy. They behave foolishly and cause trouble only for themselves.

Question 3.
‘Now where we are I cannot tell,
But I wish I could hear the Inchcape Bell’ From these lines describe the thoughts of
(a) ……… the sailors in the Rover’s ship.
(b) ……. the Rover’s.
Answer:
(a) The sailors must have been terrified. They may have been feeling angry with their Captain for his senseless act of cutting off the Inchcape Bell. It would be useful now to save them.
(b) The captain of the pirates must have been going mad with fear of the possible crash and sure death of everyone on board. He did not know where his ship was located. He was wondering if they were going to Crash on the Inchcape Rock. He had ensured his own destruction and death by cutting the Bell.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Poetic Devices:

Question 1.
Pick out the examples of imagery from the extract, state what kind it is and explain.
Answer:
Example of Visual imagery from the extract:
1. ‘The ship was as still as she could be’.
2. ‘Her keel was steady in the ocean’. Both the lines depict how the ship was on the sea, almost unmoving.
3. ‘The waves flow’d over the Inchcape Rock;
So little they rose, so little they fell,
They did not move the Inchcape Bell.’
These lines in the second stanza describe the very mild sea and the small waves.

Examples of Sound imagery from the extract:

1. And over the waves its warning rung. The line describes the loud warning sounded by the Inchcape Bell in a storm,
2. ‘And there was joyance in their sound.’ These lines show an air of joy in that scene. Even the birds seemed to be flying round and round – like a wheel – ‘wheel’d round’, ‘joyance in their sound’.

Question 2.
Pick out the examples of imagery from the extract, state what kind it is and explain.
Answer:
The lines with Visual imagery:
1. The Sun in heaven was shining gay,
The Sun shone bright and made the morning cheerful.
2. The sea birds screamed as they wheel’d round,
The birds seemed to be flying round and round in joy, like a wheel.

Examples of Sound imagery from the extract:
1. And over the waves its warning rung. The line describes the loud warning sounded by the Inchcape Bell in a storm.
2. ‘The sea-birds scream’d as they wheel’d round
And there was joyance in their sound.’
These lines show an air of joy in that scene. Even the birds seemed to be happy as their calls seemed like they were screaming in joy, ‘joyance in their sound’.

Question 3.
‘Gurgling sound’. Find the figure of speech.
Answer:
This is onomatopoeia. The pronunciation of the word resembles the meaning – the sound of an object sinking and bubbles rising and bursting.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Question 4.
Pick out an example of imagery from the extract.
Answer:
‘So thick a haze o’erspreads the sky,
They cannot see the Sun on high.’
The reader is able to imagine the fog so dense that the sun is blocked out. This is visual imagery.

Poetic Creativity:

Question 1.
Compose 2-4 lines using “A Song in the Air” as the theme. You could begin with…
‘The leaves rustle gently….’
Answer:
‘The leaves rustle gently and flowers nod. The droplets gather into a bigger drop The birds shake their plumes, bright-eyed. A song is in the air, the new day, a pretty bride.’

Question 2.
Compose 2-4 lines with one of the following as the theme : anger/ hatred/jealousy
Answer:
The Enemy Inside

I don’t know where he hides everyday He flashes in my eyes, in some words I say
To elders, family, friends. I am surprised
By my own words, my actions, only later I cried.

Question 3.
Compose 2-4 lines with one of the following as the theme:
Answer:
I Regret

I think of the harsh remark
The careless action I threw
I vow not to repeat anymore
As I begin this day new.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.3 The Inchcape Rock

Writing Skills:

Question (a)
Time and tide wait for none Points:
There is a time for doing each thing

  • Postponing action is laziness
  • If the time for the action is lost the opportunity is lost for ever.
  • Only regret remains.

Question (b)
Man proposes, God disposes

Points:

  • It is in one’s power to plan a way of doing things
  • It is a smart thing to prepare in advance
  • In spite of planning we may not be able to carry on with the plan due to circumstances
  • We must accept the unexpected circumstances and yet go ahead by some other method
  • We must be flexible and find an alternative way
  • It is smart to always have a Plan B ready

Question (c)
Look before you leap Points:

  • Before we act one must think of the results
  • only a fool will act without thinking of the future consequences of the present action
  • if we think the results are going to harm someone, one must not do that
  • It is also a good thing to take the advice of experienced or elders when making important decisions.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers

Balbharti Yuvakbharati English 12th Digest Chapter 2.2 Indian Weavers Notes, Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers

12th English Digest Chapter 2.2 Indian Weavers Textbook Questions and Answers

Question 1.
Artisans are also called craftsmen. They are creators of diverse goods and use their hands to create unique, functional and also decorative items using traditional techniques. Now complete the web given below:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers 1
Answer:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers 2

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers

Question 2.
Discuss with your partner the seasons/ occasions when we need:
Answer:
(a) Woollen clothes – in winter
(b) Casual clothes – when at home
(c) Rich silk clothes – festivals, weddings
(d) Colourful, comfortable clothes – travel, socializing

Question 3.
Let’s play a game. The teacher will ask the students some questions. Students will understand that there are some exceptions to the general rules. Let’s start:
Answer:
(a) One who weaves is a – weaver
(b) One who plays a game is a – sportsman
(c) One who sings is a – singer
(d) One who dances is a – dancer
(e) One who teaches is a – teacher
(f) One who cooks is a – cook/chef

Question 4.
We have often seen the picture of Gandhiji spinning on his charkha. Discuss the reasons behind this.
(a) To give rural people an opportunity to earn their livelihood.
(b) To give the message to wear hand-spun clothes.
(c) To convey the message of simple living.
(d) To be self-reliant.

Question 5.
Name some tools used by the weavers.
(a) Loom
(b) Shuttle
(c) Bobbin
(d) Scissors

Question 6.
Name some types of yarns used by the weavers.
(a) Linen
(b) Cotton
(c) Jute
(d) Flax
(e) Silk

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers

(A1)

Question 1.
Discuss with your partner the following vocations:
(a) Weaving:
[Points:
India has rich heritage of weaving.

  • Handloom weaving the second most widespread occupation next to agriculture.
  • Each region of India has its typical yarn, style and fabric.
  • India is tropical – people like to wear cotton
  • Silks from different regions of India are prized by women worldwide.]

(b) Tailoring:
[Points:

  • A tailor can make someone a star with style and fitting.
  • Can have own machines, and stitch clothes according to client’s needs.
  • Could be under a designer creating high fashion garments.
  • Could be under a fashion-house label, working at computerized machines.
  • hey create the trending fashions world- wide.]

(c) Knitting:
[Points:

  • Knitting is weaving with two needles with woollen yarn.
  • Many women are skilled.
  • Women in cold regions do knitting to make warm clothes for the family.
  • Knitting is done on machines too.]

(d) Embroidering:
[Points:

  • Embroidery needs skilful fingers and patience.
  • From hankies to wall-hangings are laboriously made with silk threads and tiny needles.
  • Many other beautiful things like tablecloths, dress-collars, sari-edges, bedcovers and cushion sleeves.
  • Machine embroidery also is done.]

(A2)

Question (i)
Discuss the various products made by the weavers in the poem.
Answer:
The poet asks the weavers what they are weaving at daybreak. It is a brightly coloured cloth and she asks the reason. The weavers reply that the robes, in the gay colour of the wild kingfisher, are for a newborn.

The poet next asks the weavers at dusk, for what they are weaving that bright cloth. The purple and green shaded fabric is for a queen’s wedding veil, reply the weavers. The poet asks what they are making in the chill night in the moonlight. The weavers are weaving a cloth as white as a feather, as a cloud. They say they are weaving a shroud for a dead man’s funeral.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers

Question (ii)
The words in the three stanzas of the poem mention different times of a day. Complete the table.
Answer:

Time of the day Words/ phrases Weaver’s work
Early morning break of day Weavers weave robes for the newborn child
Late in the evening fall of night Weavers weave a wedding veil for a queen
Night Moonlight chill Weavers weave a shroud for a dead man’s funeral

Question (iii)
The poem reveals three phases of life. Fill in the blanks with feelings and colours appropriate to the phase of life.
Answer:

Newborn/ Childhood Youth/ Adulthood Old age/ Death
Colour Blue Peacock colours of purple-green White as a feather or cloud
Feeling Hopes and expectations Expectations, responsibilities, romance, energy Frailness, peace, wisdom

Question (iv)
Complete the sentence:
The weavers weave in the chill moonlight ……………….. .
Answer:
The weavers weave in the chill moonlight a cloth as white as a feather, as a cloud, a shroud, for a dead man’s funeral.

Question (v)
Pick out two words used to describe the weavers in the last stanza. Also state their importance.
Answer:
‘Solemn’ and ‘still’ are the two words used in the last stanza to describe the weavers. The words describe the occasion for which the craftsmen are working. A shroud is being woven for a funeral. The workers’ mood is also serious and unsmiling because of the occasion.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers

Question (vi)
Express your views about the present conditions of weavers.
Answer:
Weaving has existed for thousands of years in India. It was second only to agriculture. The weaves and fabrics from various regions were known around the world. From the Bengal muslin, to Kashmiri, Banarasi and Kancheevaram silks the cloth from India was renowned for the quality and fineness, the designs and richness.

Industrialization then brought problems for them. Power-looms are faster and manufacture large quantities in short time, Fashion-houses buy fabric from the weavers, put their labels and sell off the cloth at a very high price compared to the price paid to the craftsmen.

The craftsmen remain unknown, their craft under-valued and their life is in poverty. Ancient skills are lost and some take loans to somehow struggle. When debts are too much they commit suicide. Master weavers send away sons to cities to take up jobs.

They do not want the sons to struggle. Parents will not give girls in marriage to weavers. They lack facilities like lighting and water supply. Though the government has given subsidies for weavers most of it is lost to bribes and the weavers receive negligible sums.

Question (vii)
Describe in your own words the steps or measures that can be taken to solve the problems of the weavers.
Answer:
Weavers are unorganized. Buyers offer very low prices and if one weaver refuses, they go to another weaver. So the prices are at lowest. The government allocates crores for Handloom Promotion Council, but the weavers get nothing. Weavers’ organization can help the situation.

The weavers are forced to sell their creations to designers at low rates. No one helps to update weavers of the latest fashions trends. Also their creations are not commercially advertised. Handloom industry is eco-friendly in every way. It should be promoted by the Government, designers and supported by the public.

Subsidies for buying yarns and dyes should be given to the craftsmen. Clean water and proper lighting facilities are needed for the craftsmen. Some designers and activists for the weaver communities have begun working for the upliftment of the community and marketing the product.

The buyer can buy directly from the weavers and cut out corrupt middlemen. Exhibitions for selling wares to the public will bring the craftsmen and buyer closer. We can hope that soon the craftsmen of handloom will regain the lost glory which they deserve.

Question (viii)
Express your own views and opinions from the weavers point of view and complete the following table:
Answer:

Stanza Activity Views/Opinion
First stanza Robes for a new- born child The weavers feel happy because they are enthusiastic to weave the bright blue robes for the newborn.
Second stanza A purple- green veil for the wedding of a queen The weavers are joyous to dress the royalty on the happiest and most important day of her life
Third stanza Shroud for the funeral of a dead man The weavers are solemn and quiet as the cycle has closed for a person and it is true for everyone.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers

(A3)

Question (i)
Pick out the rhyming words from the poem.
Answer:
1st stanza: day – gaywild – child
2nd stanza: night – bright; green – queen
3rd stanza: still – chill; cloud – shroud

Question (ii)
Give antonyms and synonyms of the following and make sentences –
Answer:

Word Antonym/ Synonym Sentence
New Antonym: old

Synonym: fresh

Everyone must grow old.

We begin every morning with fresh life.

Bright Antonym: dull

Synonym: shining

One feels dull without a shower after leaving bed.

Children look at shining things with bright and curious eyes.

Dead Antonym: alive

Synonym: lifeless

The last time we met, he brought the room alive with laughter and cheer.

The children were malnourished and their eyes were lifeless.

Still Antonym: lively

Synonym: unmoving

The crowd was lively and cheering the players.

The lake was covered with oil and lay dirty and unmoving.

Wild Antonym: civilized

Synonym: untamed

After many years of instruction they finally changed him into a civilized city-dweller.

Though we think of elephants as gentle giants, untamed ones are dangerous.

Fall Antonym: rise

Synonym: drop

The rise of the new star of Indian tennis is stunning.

When prices rise suddenly, everyone hopes it will drop soon.

Child Antonym: adult

Synonym: young one

An adult has a fully developed immune system till about 60 years of age.

Young ones are innocent till they start imitating grown-ups.

Question (iii)
Make a word register for clothes/attire/ dress:
Answer:
garments, togs, outfit, wardrobe, raiment, apparel, get-up, gear.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers

(A4)

Question (i)
Complete the following table:
Answer:

Figures of speech Line
Simile 3rd – Blue as the wing of halcyon wild.
7th – like the plumes of peacock, purple and green
11th – white as a feather and white as a cloud
Imagery 1st – break of day, gay, blue (beginning of life)
4th – newborn child
5th – fall of night, green-purple royal (marriage and family)
8th – marriage-veil 9th – solemn and still,
(Moonlight in the night, chillness of death, gloom, end)
Colourless, cold white.
Metaphor 1st – break of day – day is born, a newborn child (day) for 1st stage of life

5th – fall of night – twilight, the romantic half-light, beginning of wedded bliss, for 2nd stage of life 8th – marriage-veils 10th – chill indicating death, moon indicating night and darkness. For the last stage of life.

Alliteration Each line of the poem has the ‘w’ in the words ‘we’, ‘weave’, ‘why’ ‘weaver’, wild’, ‘wing’, ‘what’, ‘white’. The words ‘we’, ‘weaver’, ‘weave’, ‘why’ occur in each stanza multiple times adding to the musical quality of the poem.

Question (ii)
The rhyme scheme in the first stanza is ‘aabb’. Find rhyme schemes in the second and third stanzas:
Answer:
The rhyme scheme in the second stanza is – aabb.
The rhyme scheme for the third stanza is – aabb.

(A5)

Question (i)
The poet has asked a question at the beginning of every stanza. Explain the effect it creates on the reader.
Answer:
Each stanza of the poem begins with a question to the weaver. The first is at dawn as the poet asks why they are working so early. The second question asks why they make the bright coloured garment at dusk. The third stanza begins asking them why they are working so late, in the cold darkness.

In the question the reader knows about the time of day, the colour of the cloth. The reply gives information about the purpose of the new cloth and why that colour is chosen. The poem is like a conversation between the poet and craftsmen. It conveys the metaphor using time of day and stage of life, the colour and cloth suited for that stage. The mood of the weavers matches the time and purpose of their work. The poem thus flows easily.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers

Question (ii)
Write an appreciation of the poem with the help of following points:

  • About the poem/poet and the title
  • The theme
  • Poetic style
  • The language/poetic devices used in the poem
  • Special features
  • Message, values, morals in the poem
  • Your opinion about the poem

Answer:
The poet Sarojini Naidu’s poem ‘Indian Weavers’ tells about the work of India’s famous handloom craftsmen. The three stanzas mark the three stages of life itself. The weavers reply to questions about why they are weaving that particular piece of cloth, of a certain colour at that time of day.

The theme is cycle of life. The weavers use colours associated with birth, marriage and death through weaving cloths for a newborn, a queen- bride and a dead man. Three stanzas of four line each in the form of questions & answers. The conversational tone gives a flow like life, one stage moving into the next.

The poem is a metaphor for the cycle of life: new life-dawn, marriage-dusk, and death-night. Simile compares the woven garments to objects in colours apt for that stage of life. The sound of ‘w’ occurs a total of 20 times, at least once in all lines except one. This alliteration gives a musical quality.

The poem is dedicated to the talented weavers and the fabrics of India which were world famous. It shows the hard work of craftsmen and how we use their products in every occasion of our life. This poem is a beautiful way of the poet to salute the weavers of India. I find that the weavers are not only skillful but also talented. They combine colours and create patterns that are eye-catching. They know which colours are apt for occasions. The poet brings out their talent as well their hard-working nature.

Question (iii)
Compose four lines on ‘Importance of clothes’.
Answer:
The attire indicates the man he is
His coat brings him confidence and protects too
The colour indicates her mood and occasion The weaver makes the christening, wedding and celebration.

Question (iv)
Write an appeal to use handloom products in our daily life.
Answer:
An Appeal

THREADS -The Handloom Research And Development Society, Maharashtra is proud to present to you the wonderful creations of THREADS for the first-time.
The weaves come directly from the craftsmen to you, the customer.
The range of products includes Pure silk Silk-cotton Cotton Linen Jute
Come and see, appreciate the skills and support the craftsmen who practice our ancient art.
There are wedding saris and Punjabi suits in pure silk, casual wear in all the materials, bed linen, towels, door mats, carpets, hand towels, handkerchiefs, scarves to suit every budget.
Come support our artisans and appreciate the fine quality of our finest Indian weaves!!
Come. Support us. You will Love our Indian fabrics. We need your support.

Contact: Incharge Mrs. Das.
99123 xxxx Email: MrsDas@xxx.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers

Question (v)
Visit a handloom factory near your locality and write a report of it.
Answer:
Weavers Of Dreams
– by Team A, SYJC -Com. 25/02/2020. The SYJC students of the S.K.Nayak Junior College went on an educational tour to Moinbad village to take a tour of the handloom factory there.

The students viewed many of the processes involved in the weaving of a saree. The students were taken on a guided tour by a local who is a family member of one of the weaver – households of the village. In the first stage the bundles of white yarn were strung on iron frames. The frames held by two men were dipped into hot iron vats of boiling dye.

The yarn is dipped several times, thoroughly drenched for the colour to coat the yarn evenly. After several minutes the men transfer each bundle on to short thick wooden rods. They twist the sticks to wring the bundle dry. A third man takes the hot bundle on another stick and lays the bundles to dry.

The next stage the students saw was coloured yarn stretched on frames several metres long. This was outside in the open. The guide told us it was for a sari. It was a blue yarn in the middle with purple yarn on both sides lengthwise, for borders. Each yarn is stretched, the number of threads for each colour counted.

There were long buildings which are the workshops. Here are frames, looms and the weavers seated before each loom. Each weaver was working on a saree. The guide told us that one saree averagely takes four to seven days. If the design is complicated and in different colours it takes longer.

The finished products are folded and packaged for the market. The tour ended with the students speaking to the weavers at the looms and craftsmen dyeing the yarns. The craftsmen spoke to the visitors giving interesting details about the popular colour combinations. They told us about auspicious colours for special occasions. The artisans also spoke about a different place where traditional nine-yard long are woven. Those are mostly for weddings. The students took photographs of the various processes and the artisans happily posed for them.

Question (vi)
A handicraft exhibition is being organized in your college. You are given the task to compere the inaugural function. Write the script for compering.
Answer:
1. Introduction: A very Good evening and warm welcome to all. This is for a very special kind of occasion we have gathered here this morning. We want to bring the spotlight on that section of our nation’s citizenry who are carrying thousands of years of our heritage on their shoulders! No in their skilful fingers!! Yes our very talented craftsmen. We have our craftsmen with their various talents to showcase their beautiful creations.

We have the weavers of the rich Paithani silks, the Warli painters, the makers of the famous Kolhapur Leather – Footwear, the intricate Bidri brassware, the Dhurrie Weavers, Banjara Embroidery…. all these from Maharashtra. We have men and women with magic in their hands from other states too. Craftsmen have come from distant Meghalaya and Nagaland, from neighbouring Gujarat. We have the makers of the amazing Kashmiri embroidery to the wooden toymakers from Andhra. And so any more.

2. Welcome speech: Our Respected Principal, Sri. Harsh Nayak, our beloved teachers, staff and all my friends join me in welcoming the Honourable Chief Guest, the textile Minister, Shrimati Mandakini Gadge, to this exciting and colourful programme. A very warm welcome to you Madam! It is a great pleasure and an honour to have you here. And a warm welcome to all the parents and all guests.

3. Inaugural Ceremony – Lighting of the Lamp: I request our Chief Guest Shrimati Mandakini Gadge and our Principal to kindly come to the dais. We request you to light the ceremonial lamp, in the traditional Indian way, to declare the exhibition open.

4. Prayer song: And now kindly take your seats for a short programme before we go around viewing the exhibition. Music is such a positive influence. So starting on a note of gratitude we have the prayer song by the stars of our music-club, Nandini, Sonia, Bhaskar, Jay and Kavita. Manjeet is accompanying them on the violin.

5. Welcome Programme: Thank you for that lovely song to begin the programme my friends. Now for a unique performance! We have a Fashion-show!! It is unique because the students of our college and our participating craftsmen-guests worked together for the last few days. This is a first! A big round of applause for our models on the catwalk!

6. Concluding Remarks: Thank you for your encouragement! Wasn’t that wonderful? You may have noticed for yourself, but let me clarify. The stylish saris, salwar suits, elegant kurtas, those shawls, the stunning neck-pieces, the baskets on the ladies’ arms, the wooden screens in the backdrop, the lampshades on the stage, the carpet on the catwalk… and all the decor you can see on the stage are all creations of the masters who are displaying their creations in the exhibition! You now have an idea of what is in store for dressing stylishly, or doing up your home elegantly. That was only starters! The main course is still waiting for you. And there is dessert as well…!!

1. I now request our Chief Guest Shrimati Gadge to address the audience.
2. Thank you, for those words of praise and appreciation of the craftsmen Madam. They richly deserve them.
3. This is the first time a college is hosting such an exhibition. We welcome you all to go around and view the stunning collection of handicraft products. There are master workers who will show you how some of their handicraft is created. They will happily demonstrate their ancient skills. You can watch how the lovely designs we wear are made at the loom.

There are demos to show the yarn being dyed and informative presentations showing the stages in the process. The beadwork artists can help guests to select stones and make them into elegant neck-pieces. There are stalls selling numerous stunning products. Apparel, Decor pieces for your homes, gifts for the festival season.

I invite our Honourable Chief Guest to formally declare the exhibition open and take a leisurely round of the displays.
4. Thank you all for making this festival of crafts a resounding success.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.2 Indian Weavers

(A6)

Question 1.
Go to your college library and collect and read the poems written by Sarojini Naidu.

Question 2.
Find various career opportunities in Small Scale Industries like Handloom, Art and Craft, Block Printing, etc.

Question 3.
Find out information about the Mahavastra of Maharashtra – Paithani

Yuvakbharati English 12th Digest Chapter 2.2 Indian Weavers Additional Important Questions and Answers

Read the poem and complete the activities given below:

Global Understanding:

Question 1.
The weavers reply to the poet’s questions in each stanza. What is the common factor? What do you understand from that?
1st stanza: ‘Blue as the wing of a halcyon wild’
2nd stanza: ‘Like the plumes of a peacock, purple and green,’
3rd stanza: ‘White as a feather ..’
Answer:
We find reference to a bird in all the three comparisons. In all of them the weavers refer to the colour of the birds’ feathers. We could take it not only refers to the brightness but also to the lightness of the cloth. The fabric is as soft and light as feathers for the tender newborn, or for the transparent veil of the queen. The pure white shroud for the dead is soft too.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.1 Song of the Open Road

Balbharti Yuvakbharati English 12th Digest Chapter 2.1 Song of the Open Road Notes, Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 12 English Yuvakbharati Solutions Chapter 2.1 Song of the Open Road

12th English Digest Chapter 2.1 Song of the Open Road Textbook Questions and Answers

Question 1.
Choose the mode of travel that you would like the most, for a journey.
(a) Airways
(b) Waterways
(c) Railways
(d) Roadways.
Give reasons for your preference.
Answer:
(a) Airways:

  • Time-saving even if costly
  • Affordable nowadays due to economy airlines
  • Useful to go all over the world if one can afford
  • Qan enjoy birds’- eye view of different places

(b) Waterways:

  • An enjoyable way to travel
  • Commuting on waterways is not common all over India.
  • In Kerala, people use boats on canals and creeks for daily commute
  • Long-distance travel by cruise ship would offer new experiences on the oceans
  • Can experience peace of mind and relaxation on a long journey by waterway

(c) Railways:

  • safe, quick, and cheap way to travel long distances
  • convenient for overnight journeys – no extra cost for night stay and rest
  • comfortable for individuals, families, large groups
  • view of the passing landscape and communities living along the route
  • opportunity to meet people and even make new friends
  • work, family trips, pilgrimage, touring – all kinds of journeys are possible and affordable.

(d) Roadways:

  • can travel through remote areas
  • travel by own vehicle gives more freedom.
  • can enjoy the natural beauty -greenery, mountains, water-bodies
  • see various geographical features, flora, and styles of clothing, food, and even language.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.1 Song of the Open Road

Question 2.
Discuss with your partner, the preparations you would like to make for the journey chosen.
Answer:
(a) A journey by road will need a (virtual) map for the route to take. Road trips are unpredictable. Except for highways we do not know where food, water and facilities like restrooms or pharmacy may be available. One has to carry food, drinks and emergency medicines for unexpected situations. Umbrella or other rainwear, flashlight, spare tyre, tool box and jack are a must. Also when travelling by one’s own vehicle we must have the vehicle serviced and in perfect shape for long distance travel.

(b) All documents related to the vehicle – driver’s licence, registration- papers and insurance papers must be updated and ready to be shown. All journeys require the traveller to wear suitable comfortable clothes. So one would have to wear and pack clothes and accessories accordingly. One also has to foresee what weather conditions maybe along the journey and carry suitable items for that.

(c) Since all of us own mobile phones and our family will want to know about our well-being, one must remember to carry the phone charger and even a power- bank if possible. One must carry a list of emergency contact numbers on paper, in case one’s phone is lost or does not work.

(d) If one decides to travel alone one must be in touch with their loved ones daily, at least once at a particular time. If one has company then the travellers should also discuss the budget, schedule, how to tackle emergencies.and also what to do in unexpected situations.

Question 3.
Discuss the ways in which you would overcome the problems/hindrances/ difficulties you face during the journey.
Answer:
(a) In case of a problem or difficulty, I would go to the nearest place where I can try and resolve the problem.
(b) I would inform my family about the problem.
(c) I would take any steps needed to see that the problem does not become worse.
(d) I would ensure that I am safe till the problem is resolved and I can continue the journey/return home.

Question 4.
During every journey we have to observe certain rules. Discuss your ideas of the journey without any restrictions.
Answer:
(a) I would go with my friends since we work well as a team even though we have I varied interests and skills. We are like-minded about most things. We will share the costs and all of us drive well.
(b) My friends and I love to have fun but none of us is ever unruly. We do, always will, respect the law and are particular about others’ safety and our own.
(c) We will be. sure to never speed or drive rashly. None of us smokes nor consumes forbidden substances like alcohol.
(d) We will ensure that each gets some rest. We will also make sure we keep a log book to record our road trip for memories as well as a guide for later trips, so we can avoid the mistakes and fill in loopholes.

(A1)

Question (i)
Pick out the lines showing that the poet is prepared to enjoy every moment of his journey.
Answer:

  • ‘Afoot and light-hearted I take to the open road,..’
  • ‘Healthy, free, the world before me.’
  • ‘The long brown path before me leading wherever I choose.’
  • ‘Henceforth I ask not good-fortune, I myself am good-fortune,’
  • ‘Strong and content I travel the open road.’
  • ‘The earth, that is sufficient,’

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.1 Song of the Open Road

Question (ii)
By ‘old delicious burdens’ the poet means
(a) the luggage
(b) the food he carries
(c) sweet memories of the past
Answer:
(c) sweet memories of the past

Question (iii)
The poet is a person who is free from all inhibitions. Discuss how the concept is expressed in the poem.
Answer:
The poet is about to embark on a trip. He j does not consider anything can restrict him, even his own hesitation or doubts. He says he is prepared -‘afoot ’and ‘light-hearted’, He is physically fit and mentally without any dilemma. He is all set to follow the road to his dream/destination. ‘Healthy and free’ He does not (want to) depend on good luck or fortune to be kind to him. He has his life, his destiny, in his own hands and is. confident that is enough. ‘I ask not good-fortune, I myself am good-fortune’.

He is no longer going to delay his journey with complaints, criticising that everything is not perfect. What is there is enough for him. ‘I whimper no more, postpone no more, need nothing,’ ‘The earth, that is sufficient’. His determination is strong and he has decided to progress on his path in life. ‘Strong and content I travel the open road.’

(A2)

Question (i)
Following are the activities of the poet related to his journey on the road. Divide them into two parts as ‘activities the poet will practise’ and ‘activities he will not practise’.
1. Walking along the road though he does not know where it reaches
2. Complaining about the discomforts during the journey
3. Postponing the journey
4. Praying for good fortune
5. Carrying the fond memories of the good people
6. Creating contacts with famous and influential people
7. Striving to achieve high and bright success
8. Reflecting and developing his own ‘self Activities he will practise’.
Answer:
Activities he will practise:
1. Walking along the road though he does not know where it reaches
5. Carrying the fond memories of good people
7. Striving to achieve high and bright success
8. Reflecting and developing his own ‘self Activities he will not practise

Activities he will not practise:
2. Complaining about discomforts during the journey
3. Postponing the journey
4. Praying for good fortune
6. Creating contacts with famous and influential people

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.1 Song of the Open Road

(ii) Write down the traits the poet exhibits through the following lines.

Question (a)
Henceforth, I ask for no good fortune –
Answer:
I myself am good fortune – Self-confidence

Question (b)
Henceforth I whimper no more, postpone no more, need nothing –
Answer:
Positive and self-reliant

Question (c)
I do not want the constellations any nearer –
Answer:
self-assured and independent

Question (d)
I swear it is impossible for me to get rid of them –
Answer:
clear-thinking and knowing his mind

Question (e)
I am filled with them – I will fill them in return –
Answer:
aware and honest about himself

Question (iii)
‘Healthy, free, the world before me.’ Express your views regarding the above line.
Answer:
The poet is about to set out on life’s journey. He is of healthy body and mind. He feels strong enough to meet challenges he may have to face on the way. His attitude seems positive, hopeful and determined – he says ‘the world before me’ – showing this.

Hence we can say he is ready to make use of every opportunity the world can provide and he will not delay or complain, postpone or criticize, blaming others. He can make any dream come true.

(A3)

Question 1.
The poet has used many describing words like ‘healthy’ in the poem. Make a list and classify them as
(a) For the world: ……………
(b) For himself: ………………
(c) For the road: ………………
Answer:
(a) For the world: sufficient
(b) For himself: light-hearted, healthy, free, good-fortune, strong, content,
(c) For the road: open, long brown path

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.1 Song of the Open Road

(A4)

Question (i)
The road in the poem does not mean only the road to travel. The poet wants to suggest the road of life. Explain the metaphor with the help of the poem.
Answer:
In a journey we may go on, we plan on the mode of travel, and hope to have an enjoyable trip. We want to admire the scenes passing by. We may meet new people. Sometimes we may come across some difficulties, yet we complete the trip and return home to our normal routine.

For a trip, we make travel plans decide the destination and so on. But life itself is a long journey. In our life we have family and friends. We don’t know what will happen in future. We remember pleasant as well as sad situations of the past. We work hard, find success, face failure, and attain glory and defeat. So life goes on.

In both, a trip or in life, the attitude is important in how we make the journey. One must go ahead with a positive and flexible mind-set. Unexpected situations will come up. We may have pleasant as well as unpleasant situations. But if we have self-belief, any difficulty can be faced. One must just be strong.

The poem also tells we have memories. We are held back by attachments. But we can carry the beautiful past as happy memories, We should always go forward in the journey of life.

Question (ii)
There are certain words that are repeated in the poem. For example, ‘no more’ (Line 7) Find out other similar expressions. Explain the I effect they have created in the poem.
Answer:
There are several words that are repeated.
1. ‘open road’ – lines 1 and 7. Indicates the path in life is open wide for the poet/ person to make any choice he wants. The opportunities are unlimited.
2. ‘before me’ – the poet is looking at the road ahead, his future life, his outlook for the upcoming journey (of life).
3. ‘Henceforth I’ – lines 4 and 5. The poet conveys ‘from that point onwards’ he has decided to do or not do certain things.
4. ‘good-fortune’ – he believes good fortune or destiny is not external. It is within one’s power, in one’s own hands.
5. ‘I know’ – lines 11 and 12. This shows his full awareness.
6. I carry’ – lines 12, and twice in 13, I indicate the weight of the burdens though they may be delicious.
7. ‘they are’ – line 10 emphasizes that entity (constellations or people with power) belongs where it is.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.1 Song of the Open Road

Question (iii)
The use of personal pronoun ‘I’ is evident and prominent in this poem. Give reasons.
Answer:
The repetition of the pronoun ‘I’ occurs fifteen times in as many lines of the poem. This shows us how fully in charge the poet is of his life, his destiny, his actions, his decisions and the consequences.
The repeated use of T shows that he is confident of himself and is able to take his life forward independent of other’s support. He is going to stop complaining, criticizing.
He will approach the future on his own strengths. Ready to use the opportunities that he comes across, the poet is quite sure he does not need either luck or influential friends to help his attempts. He seems assured of his own capabilities.

(A5)

Question (i)
With the help of the following points, write a poetic appreciation of the poem ‘Song of the Open Road’.

  • the poem
  • title
  • theme
  • style
  • poetic devices
  • message
  • your opinion.

Answer:
‘The Song of the Open Road’ by American poet, Walt Whitman is about optimism, energy j and confidence. The world offers opportunities to anyone who wants to use them.

Walt Whitman’s works were a powerful influence on other writers. The poet himself struggled as a child of twelve. He dropped out of school to take up some job to help the family income. He worked as lawyer’s assistant, printer’s assistant, as a teacher and journalist. He helped look after the wounded in the American Civil War.

Question (ii)
Write four to six lines of Free Verse on the topic ‘The road that leads to my college’. Express that it is the road to knowledge and bright future. You may begin like this: Evlery day I tread with the bag of books
Answer:
‘The Road That Leads to My College’ Every day I tread with the bag of books And a hopeful step, Into the space of light and hope, Lean look for myself. I go to become more ready For tomorrow and the day after. Every day, every way I Grow and grow thankful and wise, strongly hopeful.

Question (iii)
Write a blog on the following topic.
(a) Man is Free by Birth.
Answer:
Man is Free by Birth

The statement is true in every sense of the word ‘free’. If someone does not have physical freedom, it is visible. But the freedom of the mind, thoughts, emotions, the spirit, the soul, is also vital for one to fully find satisfaction in life.

I remember an advertisement to bring up boys to be sensitive. Usually boys are discouraged from showing tears. It is thought tears of fear, anxiety, pain, loss are signs of weakness when a boy cries. There should be no external signs of these emotions and parents compare the boy to a girl. They make fun of their sons to stop him crying. In this way they take away the child’s freedom to express emotions. They take away his sensitivity!

Taking away of freedom is often done by adults to their children. The parents give guidance for the future but parents impose their own expectations on the kids and take away their freedom to choose a life-goal. The child’s natural liking or strength is not considered. The herd mentality makes parents force their children to follow a field which other students are doing. They earn lots of money. But they don’t notice their child does not like or is not good at it. So the child grows up leaving his passion.

Adults teach children that out of respect and good manners they must not question them. Children will grow up seeing injustice being done. They will notice bad things happening. But their desire to question is silent. They keep quiet and accept even bad things as normal.

I could go on. But let us ensure that freedom is alive and well. Let us allow everyone to be themselves, to follow their heart, to speak out when necessary, to fulfil their dreams. But we must ensure that this freedom never injures another or interferes with other people’s freedom.

The poem says ‘open’ road. It is about freedom. The poet wants to go out from restrictions and comforts. The poet wants to be self-reliant. He is confident. The poem is in free verse. There are many poetic devices but no metre or rhyme, We immediately notice repetition. There is also Transferred epithet.

The poem is a dramatic monologue. The poem inspires us to explore the world using our abilities. Comfort, complaints, criticisms and fate are not excuses for one’s inaction.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.1 Song of the Open Road

Question (iv)
Expand the ideas suggested in the following lines:
(a) All roads lead to Rome.
Answer:
The road system in the Roman Empire was built in a way that a person could take a road from anywhere and he would reach Rome. This means that every matter can be approached differently. Everyone has their own way to approach a matter. It could be doing some work or solving a problem. Each person has their way of doing things.

It means that we should agree not to be narrow minded. We should appreciate the other person’s way of doing things also. We should not expect everyone to think exactly the same way as we do. We should allow individuals to follow their method. Sometimes some work is given. That person will complete the work in his way. When giving the task the method of doing it need not be forced. Even if it is completely new then the person may do it himself. If he is not able to do it he can ask for help.

When there is a problem many people may be trying to find a solution. We can discuss ideas. Many ideas may be put forward. There can be so many ideas that are useful for solving the problem. One may be quicker. Another may be cheaper. One may need more people. So all ideas can be pooled to finally solve the problem.

Even the head of the country has a team of ministers. The leader discusses and consults with the team for running the country. All of them play a role for successful running of the government. This is true of teamwork and cooperation. We can all work for the same goal. The work may be so big that many are required to work together. It is not necessary for everyone to do exactly the same thing. But all work together in different methods so that we reach the desired goal.

Question (b)
A man without liberty is a body without a soul.
Answer:
We think ‘liberty’ means only physical freedom. But even if a person is not physically free, his mind is working freely. Actually the freedom to think, speak and act to fulfil our wishes and goals is more important.

A free man really means a free-thinking man. We have heard of men speaking out against powerful people. They were jailed. But even in jail they wrote books. They expressed their views. We know of many such famous personalities like Gandhiji, Jawaharlal Nehru and Nelson Mandela.

Many of our Indian freedom fighters were executed for their ideas. But they did not keep quiet. They spoke out and inspired Indians to rise up against the colonial rulers. Their minds were free though they were physically in prison.

Liberty is freedom to anything for oneself without hurting other people’s liberty. We should not use freedom to do just anything we desire. That is not correct. Hence we must be aware of what is happening and speak against wrongs. When there is life, there is mind. When we have an intelligent mind, we should think.

‘Life, liberty, and thought – three persons in one substance, eternal, never-ending, and unceasing.’ Khalil Gibran.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.1 Song of the Open Road

(A6)

Question (i)
Take help from the sources available on the internet and make a list of proverbs and quotations about ‘road.’ [an example …]
Answer:
The road to success is not a path you find but a trail you blaze.
https : //www.bemytravelmuse.com/best- road-trip-quotes/
https : //www.goodreads.com/quotes/tag/ road-trip

Question (ii)
Read the poem ‘The Road Not Taken’ by Robert Frost.

Yuvakbharati English 12th Digest Chapter 2.1 Song of the Open Road Additional Important Questions and Answers

Read the poem and complete the activities given below:

Global Understanding:

Question 1.
Describe the mood of the speaker in the poem. Choose from the options given. There may be more than one possible option:
1. hopeful
2. thoughtful
3. serious
4. cheerful
5. regretful
6. upbeat
7. contemplative
8. buoyant
Answer:
1. hopeful
4. cheerful
6. upbeat
8. buoyant

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.1 Song of the Open Road

Inference/Interpretation/Analysis:

Question 1.
Pick out the lines from the poem which indicate the past behaviour of the poet, which he now chooses to discontinue and discard. What do the thoughts indicate regarding the poet’s intentions for the future?
Answer:
The lines which the poet writes indicating his change in mind-set are:
1. ‘Henceforth I ask not good-fortune, I myself am good-fortune,
2. Henceforth I whimper no more, postpone no more, need nothing,
3. Done with indoor complaints, libraries, querulous criticisms,’
The poet realizes he has been discontented, complaining, blaming and criticizing others, as an excuse for his inaction. He had not taken charge of his own actions or his life.

Now he has a clear view of what he will do in the future, a different attitude to life. He has taken charge of both now. He is ready to leave behind all negativity and move ahead with hope and self-confidence.

Personal Response:

Question 1.
The poet says ‘strong and content’, ‘The earth, that is sufficient’. Describe your thoughts about yourself if you were starting out on life’s journey. Would ‘the earth be sufficient’ for you to being ‘strong and content’?
Answer:
I agree with the poet. The fact that I am reading and understanding the poem indicates I have a high-school education. People with much fewer advantages have accomplished great things. I can use the resources I have to become a good human, a useful citizen and find my way to go forward in life. Success and satisfaction does not mean making lots of money or becoming famous. If I can help fellow humans and give back to the country that has given me so much, I will be content.

Poetic Devices:

The paradox is a poetic device, which is defined as ‘a (logical) statement’ contradicting itself. It can i also be said to be a sentence that is opposed to the 1 common sense but yet can be true.

Question 1.
Pick out a line from the poem that is an example of a paradox.
Answer:
‘Still, here I carry my old delicious burdens’ is the line that is having a paradox ‘delicious’ and ‘burden’. Something delicious is pleasant, whereas ‘burden ’ reminds us of something difficult and unpleasant. But the poet wants to convey that his sweet memories are difficult to leave behind. They pull us back from going away. But still, he will go, but he will carry his precious memories and still carry on his life’s journey.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 2.1 Song of the Open Road

Question 2.
Pick out the line where the transferred epithet is used by the poet.
Answer:
‘Done with indoor complaints, libraries, querulous complaints.’
The phrase ‘indoor complaints’ describes the speaker who earlier had been enclosed indoors and complaining. Now he is ‘done’ -will no longer do that. Another phrase ‘querulous criticisms’ speaks of an irritated person constantly criticizing. The poet has decided he will no longer indulge in that also.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Balbharti Yuvakbharati English 12th Digest Chapter 1.8 Voyaging Towards Excellence Notes, Textbook Exercise Important Questions and Answers.

Maharashtra State Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

12th English Digest Chapter 1.8 Voyaging Towards Excellence Textbook Questions and Answers

Question 1.
There are different ways to travel from one place to another for different purposes. Discuss with your partner and match the words given in table A with their meanings in table B:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence 1
Answer:
(a) Cruise – a journey on a boat or ship to a number of places
(b) Expedition – a journey, especially by a group of people, for a specific purpose
(c) Camp – a place usually away from urban areas where tents are erected for shelter
(d) Trip – a brief pleasure outdoor visit
(e) Excursion – a short journey to a place with a particular purpose
(f) Picnic – a short visit to an outdoor place where people celebrate, enjoy, and eat meals
(g) Voyage – a long journey on a ship

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 2.
Discuss the following with your partner and complete the web.
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence 2
Answer:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence 3

(A1)

Question (i)
Upbringing plays a very important role in shaping one’s life.
Answer:
The teacher will form two groups in the class. One group will speak in favour of the above topic while the other will speak against it. Debate brings out different perspectives, it does not mean one is right and the other is wrong. You can take help of the following points and have a debate on it:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence 4

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

(A2)

Question (i)
Make a list of great Indian and foreign personalities who had a great impact on Achyut Godbole during his childhood.
Answer:

Poets Vinda Karandikar, Mangesh Padgaonkar, Vasant Bapat, Keshavsut
Writers Charles Dickens, Thomas Hardy, Mardhekar
Musicians Mozart, Pt. Kumar Gandharv, Pt. Bhimsen Joshi, Pt. Jasraj
Dramatists Shakespeare
Painters Van Gogh, Michaelangelo

Question (ii)
Find the different techniques used by the writer to learn Science and Mathematics.
Answer:
The different techniques used by the writer to learn Science and Mathematics are:
(a) The writer used to appreciate the inherent beauty of these subjects.
(b) He found Newton’s law of motion beautiful and the Pythagorean Theorem elegant.
(c) The writer loved solving problems of Mathematics of the 9th standard when he was in the 7th.
(d) He used to love solving problems and used to enjoy finding out the most elegant method of solving them, even though they were not a part of the curriculum.

Question (iii)
The writer faced numerous problems while communicating in English because-
Answer:
(a) He had his entire education in Marathi.
(b) His vocabulary was very weak, and pronunciation was terrible.
(c) His construction of sentences was very awkward.

Question (iv)
The writer was completely stumped because his:
Answer:
(a) vocabulary was very weak
(b) spoken English was quite pathetic
(c) pronunciation was terrible
(d) construction of sentences was very awkward

Question (v)
Due to the writer’s pathetic English speaking style, he:
Answer:
(a) felt quite lonely and terrified, in Mumbai in general, and IIT in particular.
(b) developed an inferiority complex
(c) felt depressed and diffident.
(d) wanted to run away from IIT and even Mumbai.

Question (vi)
Complete the following. The writer wanted to achieve mastery in English because-
Answer:
(a) he wanted to speak excellent, elegant and fluent English
(b) he would be able to achieve excellence and excel in anything he tried to do
(c) he need not have to feel afraid of anybody and start feeling at home in his hostel.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question (vii)
Make a list of different steps that the writer undertook to improve his English speaking skills.
Answer:
To improve his English the writer:
(a) decided to also think in English before speaking in English.
(b) started reading English newspapers and English novels.
(c) studied etymology and phonetics and studied the roots of the words and how to pronounce them.
(d) used to stand in front of the mirror and practice speaking, realising his mistakes and correcting them himself all the time and improvising and improving day by day.

Question (viii)
Describe the writer’s achievements after achieving mastery over the English language.
Answer:
After achieving mastery over the English language:

  1. His fear for English disappeared.
  2. He started feeling quite confident about speaking in English at length with anybody.
  3. He started feeling at home in his hostel.
  4. He could give presentations with ease.
  5. He negotiated and signed many contracts worldwide and ran large global software companies.
  6. He headed software companies having thousands of software engineers worldwide.

Question (a)
Complete the table comparing the two different phases of the life of the writer- as an MD or Chief Executive Officer and an activist of Sarvodaya movement.
Answer:

MD or Chief Executive Officer Activist of Sarvodaya Movement
Head of the company for 23 years Participated in a peaceful satyagraha
Travelled all over the globe about 150 times for business Joined a social movement for tribals

Question (ix)
Complete the web highlighting the various opportunities you gained due to your good English speaking skills.
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence 5
Answer:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence 6

Question (a)
Describe a situation or incident when you felt embarrassed for your lack of knowledge of a particular subject or incompetence in speaking English fluently.
Answer:
This happened after my Std X exams. I live in Latur, and I was visiting my cousins in Mumbai for the first time. In order to entertain me, they took me to a musical nite. Unfortunately, it was music show based on English songs, and I had no knowledge of it or interest in it. I love to listen to Hindi and Marathi songs only. They soon realized my lack of interest, and were sorry for their mistake. I was embarrassed about my complete lack of knowledge about English music.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

(A3)

Question (i)
Fill in the blanks selecting the correct phrase from the alternatives given.
(feel out of place, speak at length, feel at home, sea of knowledge)
(a) By the end of the week she was beginning ………………… in her new job.
(b) When he lost his mother he was completely ……………… .
(c) Travelling can help to ………………….. .
(d) After my retirement I started ……………… as a social worker.
(e) Having faith in God ……………………. in difficult situations.
(f) To succeed in any competitive examination, one requires a sea of knowledge.
(g) The simple village girl ……………………. in a formal party.
(h) The work done by Sindhutai Sapkal …………………. of millions
(i) The teacher …………………….. explaining the concept.
(j) The speaker was ……………………… by the intelligent questions asked by the audience.
Answer:
(a) By the end of the week she was beginning to feel at home in her new job.
(b) When he lost his mother he was completely broken.
(c) Travelling can help to broaden one’s horizon.
(d) After my retirement I started my second innings as a social worker.
(e) Having faith in God keeps one going in difficult situations.
(f) To succeed in any competitive examination, one requires a sea of knowledge.
(g) The simple village girl felt out of place in a formal party.
(h) The work done by Sindhutai Sapkal touched the hearts of millions
(i) The teacher spoke at length explaining the concept.
(j) The speaker was completely stumped by the intelligent questions asked by the audience.

Question (ii)
Find out a word related to the game of cricket. List two meanings for it.
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence 7

Answer:
Second innings:
1. general meaning: the second phase of life of an individual where he/she starts/ pursues a new or different career or the post retirement life.
2. related to cricket: when a team comes to bat for the second time in a test match

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question (iii)
Go through the text to find the antonyms of the words given in the grid and fill in the boxes. One is done for you.
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence 8
Answer:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence 9

(A4)

Question (i)
Write whether the underlined verbs in the following sentences are Main verbs or Primary auxiliary verbs:
(a) I had a very simple upbringing. ………………
(b) I was immensely impressed. ………………..
(c) I had learnt from my childhood that money did not mean everything in life. …………………
(d) He was a convent educated guy. ……………….
(e) They did all the work in time. …………………..
(f) I had to achieve a lot in life. …………………….
Answer:
(a) Main verb
(b) Main verb
(c) Auxiliary verb
(d) Main verb
(e) Main verb
(f) Main verb

Question (a)
Fill in the blanks with appropriate modals according to the situations given in the following sentences:
Answer:

  1. Take an umbrella. It might rain later.
  2. People must not walk on the grass.
  3. Could I ask you a question?
  4. The signal has turned red. You ought to wait.
  5. I was a sportsperson in my school days. I can play badminton.
  6. I am going to the library. I will find my friend there.

Question (b)
Find from the extract, the sentences that show past habit.
Answer:
1. Poets like Vinda Karandikar, Mangesh Padgaonkar and Vasant Bapat used to visit our home.
2. They used to talk about Keshavsut…

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

(iii) Do as directed and rewrite the sentence:

Question (a)
I did not fully understand their discussions but I was immensely impressed. (Remove ‘but’.)
Answer:
Though I did not fully understand their discussions, I was immensely impressed.

Question (b)
I had decided that I would do nothing of this sort. (Remove ‘that’.)
Answer:
I had decided to do nothing of this sort.

Question (c)
My fear had vanished and I started feeling at home in my hostel. (Use ‘when’.)
Answer:
When my fear had vanished, I started feeling at home in my hostel.

Question (d)
It was only my self-esteem which stopped me. (Remove ‘which’.)
Answer:
Only my self-esteem stopped me.

Question (e)
I plunged into all these branches of knowledge. It was a period of renaissance.
(Join with ‘which’.)
Answer:
I plunged into all these branches of knowledge, which was a period of renaissance.

Question (f)
When I look back, there are a number of lessons that I cherish. (Remove ‘When’.)
Answer:
On looking back, I find that there are a number of lessons that I cherish.

Question (g)
There are hundreds who tell me that they understood the theory of relativity. (Remove ‘who’.)
Answer:
Hundreds tell me that they understood the theory of relativity.

(A5)

Question 1.
Go through the sample of the flyer given on page 91 of the textbook and prepare flyers on the topics given below.
Topics :
1. Yoga Class / Summer Hobby Class
2. Tree Plantation Drive
3. Cleanliness Drive
4. Help us to end Child Labour
5. Let’s get rid of the monsters – tobacco and alcohol

Use the following points:

  • Details
  • Special Features
  • Why to choose us/Need of drive/Purpose of the mission
  • Anything special
  • Add your own points

Answer:
1. Yoga classes:
Divine Yoga Classes
First Floor, Vijai Towers, Opposite Railway Station, AAahim (West)
We have classes for all : from age 5 to 75 Men and women, girls and boys.

Details Special Features Why Us?
1. Classes 7 days a week

2. From 5 a.m. to 11 p.m.

3. Separate classes for males and females

4. Special personal training available

5. Experienced teachers

6. Certificates at the end of course

For more details look up: Website-www. divyoga.in

1. Lectures on health every week from experts

2. Breathing techniques to relieve stress

3. Special lectures on healthy cooking

4. Groups made according to particular problems, if any

1. We give a patient ear to all our students

2. We arrange for special outside guidance if necessary

3. We arrange regular camps and excursions

4. Special discounts for couples/family

Email: divyoga@ xmail.com/ 986656xxxx

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

(A6)

Question 1.
Achyut Godbole has written many bestsellers that are famous far and wide. Read at least two books of your choice, make a summary of those books and submit.
(Students may attempt this on their own.)

Yuvakbharati English 12th Digest Chapter 1.8 Voyaging Towards Excellence Additional Important Questions and Answers

Read the extract and complete the activities given below:

Global Understanding:

Question 1.
Write if the following sentences are True or False. Rewrite the false sentences correctly:
1. The writer did not like Mathematics and Science.
2. The writer studied Mathematics and Science only for scoring maximum marks in exams.
3. The writer’s skill at solving problems helped him in his IIT entrance exam.
4. The writer scored 100% marks in Mathematics in every examination he appeared for.
Answer:
True sentence:
3. The writer’s skill at solving problems helped him in his IIT entrance exam.

False sentences:
1. The writer did not like Mathematics and Science.
2. The writer studied Mathematics and Science only for scoring maximum marks in exams.
4. The writer scored 100% marks in Mathematics in every examination he appeared for.

Corrected sentences:
1. The writer loved Mathematics and Science.
2. The writer studied Mathematics and Science not only for scoring maximum marks in exams, but also because he appreciated their inherent beauty.
4. The writer scored 100% marks in Mathematics in almost all the examinations he appeared for.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 2.
The writer’s joy was shortlived. Give reasons.
Answer:
In Solapur, where the writer spent his childhood, he had not seen any building which was more than three – storeyed. Mumbai however was full of skyscrapers, which made the writer uncomfortable. At IIT, most of the students and professors used to converse in English whereas the writer’s English was very poor, with a weak vocabulary, terrible pronunciation and very awkward construction of sentences.

Due to all this, he felt quite lonely and terrified in Mumbai in general and IIT in particular. He developed an inferiority complex and wanted to run away from IIT and even Mumbai. Thus, his joy at getting into IIT was shortlived.

Question 3.
Name the following from the extract:
Answer:

  1. Management gurus : Alvin Toffler, Peter Drucker, C. K. Prahlad, Tom Peters
  2. The founder of Infosys: Narayan Murthy
  3. Two universities: Harvard, MIT (Massachusetts Institute of Technology)
  4. A great technologist-Vincent Serf

Question 4.
Pick out the false sentences and rewrite them correctly:
1. The writer was more intelligent and well- j read than his friends.
2. The writer’s group was interested in many things.
3. The writer wanted to top the GRE and migrate to the U.S.
4. The writer possessed many books on various topics.
Answer:
False sentences:
1. The writer was more intelligent and well- read than his friends.
3. The writer wanted to top the GRE and migrate to the U.S.

Corrected sentences:
1. The writer’s friends were more intelligent and well-read than the writer.
3. The thought of topping the GRE and migrating to the U.S. never even touched the writer’s mind.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 5.
Complete the web: (the first letter of each quality has been given)
Answer:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence 10

Question 6.
Complete the web stating the principles of good management:
Answer:
Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence 11

Question 7.
What was the writer’s first love?
Answer:
to read and write on various subjects concerning human life and existence.

Question 8.
How many books has the writer written in Marathi?
Answer:
about 34 books

Question 9.
What was the name of the writer’s autobiography?
Answer:
Musafir.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 10.
Name any two values that the writer cherishes.
Answer:
humility, humanity

Complex Factual:

Question 1.
Give the writer’s opinion about:
arts, music and literature.
Answer:
The writer says that the arts are equally, if not more, important in our lives than science and technology. He also feels that arts, music and literature enrich our lives and put meaning into our existence. He loved music.

Question 2.
money.
Answer:
The writer feels that money is necessary, but does not mean everything in life.

Question 3.
List the achievements of the writer in Mathematics.
Answer:
1. The writer loved solving problems of Mathematics of the 9th standard when he was in the 7th.
2. The writer scored 100% marks in Mathematics in almost all the examinations that he appeared for, from the 1st standard until IIT, barring only a few times. He also stood 1st in the University in all subjects put together.

Question 4.
Describe the ‘very important’ thing that happened to the writer.
Answer:
When the writer was in his third year at IIT, he came in contact with about 15-20 extremely brilliant students/researchers/ professors from IIT, TIFR and BARC. They included top-ranking students from IIT, visiting professors in American Universities, very renowned mathematicians of the world and so on. This friendship had a lasting impression on his life. He came to know what real brilliance meant, and where he stood with regard to it.

Question 5.
Describe curiosity and humanity.
Answer:
Curiosity is important. It is only because of the human curiosity that we have been able to make such a great progress in science and technology, and social sciences. Humanity means concern for our fellow human beings; it means caring for and helping others whenever and wherever possible. This is important if we wish to live in a world that is happy and contented.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 6.
List the things that the writer said he learnt while running large companies.
Answer:
While running large companies the writer learnt:

  1. The importance of teamwork
  2. The necessity of leading from the front and setting a good example for the staff.
  3. The need to treat subordinates and colleagues as friends.

Question 1.
Match the subjects in Column A with the title of the books in Column B:

A B
1. Management (a) Manat
2. Painting (b) Nadvedh
3. Western music (c) Zapoorza
4. Psychology (d) Ganiti
5. Mathematics (e) Limelight
6. Science (f) Canvas
7. Indian music (g) Arthat
8. Western films (i) Boardroom
9. English Literature (j) Kimayagar
10. Economics (k) Symphony

Answer:

  1. Management – Boardroom
  2. Painting – Canvas
  3. Western music – Symphony
  4. Psychology – Manat
  5. Mathematics – Ganiti
  6. Science – Kimayagar
  7. Indian music – Nadvedh
  8. Western films – Limelight
  9. English Literature – Zapoorza
  10. Economics – Arthat

Inference/Interpretation/Analysis:

Question 1.
‘Nevertheless, culturally I had a rich childhood’. Explain the statement with reference to the extract.
Answer:
The writer says that he had a very simple upbringing in a lower middle-class family which did not have even basic amenities like a fan, refrigerator, etc. Even so, it was rich culturally because various poets, writers and musicians used to visit their home and there would be hours of discussions about music, literature, paintings, sculptures, etc. Famous writers, painters and musicians were discussed and this made the writer love the arts. He states that arts, music and literature enrich our lives and put meaning into our existence.

Question 2.
Complete the following:
The writer developed a problem-solving attitude because …………….
Answer:
The writer developed a problem-solving attitude because ……………..
1. He did not study subjects only for scoring maximum marks in the examinations.
He used to study these subjects or any subject for that matter for its inherent beauty.
2. He used to love solving problems andused to enjoy finding out the most elegant method of solving them.
3. He used to get involved in solving them.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 3.
Complete the following:
The writer was benefitted by the discussions with great people as it…
Answer:

  1. made a lasting impact on his life
  2. made him realize what real brilliance meant
  3. broadened his horizons, and his aims and worldview became global
  4. taught him a lesson in humility, hard work and a passion for excellence.

Question 4.
Explain why the author say that passing the ‘examination of life’ is more important than passing the college examination.
Answer:
The writer wished to understand the world and how it works. He also wished to serve India and her people. To do this, he would have to read and understand different branches of knowledge, to develop values like humility, humanity and rationalism. This was the ‘examination of life’ for him. This was far more important to him than just passing the IIT examination.

Question 5.
Mention a few ways in which the author touch the hearts of the people.
Answer:
The author’s books have brought about very good changes in the lives of thousands of readers. Hundreds have come out of depression and more than a dozen have given up thoughts of committing suicide and decided to start all afresh. There are hundreds who say that they understood the theory of relativity or Big Bang after reading his book on Science ‘Kimayagar’.

His book ‘Boardroom’ on Management has created at least 20 successful entrepreneurs. Then there are hundreds who can understand Economic Times or NDTV Profit after reading his book on economics ‘Arthat’.

Many have turned to Mathematics after reading his book ‘GanitV. The same is true about his books on Indian Music (Nadvedh), English Literature (Zapoorza), Painting (Canvas), Western Films (Limelight) and Western Music (Symphony) or books such as ‘Genius’ series, ‘Rakta’ or ‘Vitamins’ or ‘Anartha’. It is these reactions of thousands of readers that made him feel that has touched the hearts of thousands of people.

Question 6.
Describe the second innings of the writer in your own words.
Answer:
After working for software companies for many years, the writer wanted to return to his first love, i.e. reading and writing on various subjects concerning human life and existence. Therefore, he gave up two lucrative offers to become a writer. This is how his second innings as a writer in Marathi began. After this, he wrote about 34 books in Marathi. Most of them became bestsellers with tens of thousands of copies sold for each. These books brought about very good changes in the lives of thousands of readers.

Hundreds came out of depression and more than a dozen gave up thoughts of committing suicide and decided to start all afresh. Thousands more have been helped in the fields of science, economics, music, mathematics, etc. by the writer’s books. It is these reactions of thousands of readers and the feeling that he is touching their hearts that has kept him going.

Personal Response:

Question 1.
Describe what a ‘rich childhood’ mean to you.
Answer:
I think that a rich childhood is one where you get a lot of love and security at home. It could also be culturally rich, where you get to read or know music/books/theatre, etc. Basically, a rich childhood is one which has plenty of love, fun and friends. Money is secondary.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 2.
We should study any subject. Do you agree? Give your reasons.
Answer:
Every subject has its own inherent beauty and uses. We should study a subject because of its beauty. While Science and Technology are important to make our daily lives easy, arts, music and literature enrich our lives and put meaning into our existence. Every subject helps in some way in the progress of mankind.

Question 3.
Do you think that speaking English fluently and confidently is important? Discuss.
Answer:
Yes, it is. English is an international language, which the people of most countries understand. If we wish to go abroad, or have international exposure, we should know English in this competitive world. Even in India, knowledge of good English gives us a sense of confidence. It helps us to get jobs. It also helps us to get access to information from all parts of the world.

Question 4.
Name some of the top universities in the world.
Answer:
Some of the top universities in the world are: Harvard University, Stanford University, Massachusetts Institute of Technology, Oxford University, Cambridge University, Cornell University. Princeton University, etc.

Question 5.
Do you feel that arts, music and literature enrich our lives. Discuss.
Answer:
Art is all around us; it surrounds us. It provides us with a deeper understanding of our own emotions and those of others. It makes us more sensitive, softer and gentler. It enriches the quality of life and improves our physical and mental health. It connects us to others. Literature gives us an insight into the world of others, both in the present and the past.

Question 6.
Do you think that team work is important today? Explain with an example.
Answer:
Yes, today team work is very important in every sphere, whether it is in games or at work. Every individual has different talents and these separate talents come together when one is in a team. For example, in cricket, one person may be a good bowler, another a good batsman, a third a good fielder, etc. When all these people come together and play the game as a team, it leads to success. In an office too, only when we work in a team and contribute our respective talents can we complete projects.

Question 7.
Do you think passion is more important than wealth?
Answer:
Passion is certainly more important than wealth. Wealth can give the luxuries of life, but it cannot give mental peace and satisfaction. This can only be gained by having an interest in what we do, or in simple words, by loving our jobs. Hence, when one chooses a career, it is more important to choose one which we love rather than one which pays more.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Language Study:

Question 1.
Find from the extract, the sentences that show past habit.
Answer:
1. I used to study these subjects or any subject for that matter for its inherent beauty.
2. I used to get involved in solving them.
3. I used to love problem-solving and used to enjoy finding out the most elegant method of solving them.

Question 2.
These problems were not a part of the curriculum, but I enjoyed the whole process. (Rewrite using ‘though’.)
Answer:
Though these problems were not a part of the curriculum, I enjoyed the whole process.

Question 3.
This exam is completely based on your problem-solving ability and the ability to think not only logically but quickly and rapidly. (Pick out the adverbs of manner.)
Answer:
completely, logically, quickly, rapidly

Question 4.
Find from the text, the sentence that show past habit:
Answer:
Most of the students and professors used to converse in English.

Question 5.
Find from the extract, a sentence that shows past habit.
Answer:
I used to stand in front of the mirror and practise speaking.

Question 6.
I wanted to speak excellent, elegant and fluent English. (Rewrite using ‘that’.)
Answer:
I wanted to speak English that was excellent, elegant and fluent.

Question 7.
My fear had vanished and I started feeling at home in my hostel.
(Pick out the verbs and state the tense.)
Answer:
had vanished – past perfect tense; started – simple past tense

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 8.
Find from the extract,the sentences that show past habit.
Answer:
1. Until that time I used to consider myself somewhat intelligent.
2. I used to visit MIT during lunch time to meet my friends.
3. I used to visit both of these Universities.
4. If you walked for an hour from there, you could reach Harvard Square near Harvard University. (Pick out the clauses and state their type.)
Answer:
you could reach Harvard Square near Harvard University-Main clause
If you walked for an hour from there- Subordinate adverb clause of condition

Question 9.
All the discussions with these greats broadened my horizon.
(Rewrite beginning ‘My horizon…………’)
Answer:
My horizon was broadened by all the discussions with these greats.

Question 10.
Find from the text, a sentence that show past habit.
Answer:
We used to discuss about relativity, Big Bang, aesthetics, literature, philosophy, economics and many other subjects every day until late into the nights.

Question 11.
I learnt these values during my IIT days.
(Rewrite beginning ‘These values’.)
Answer:
These values were learnt by me during my IIT days.

Question 12.
It is very difficult to become a master or an expert in all these subjects. (Rewrite using ‘not’.)
Answer:
It is not at all easy to become a master or an expert in all these subjects.

Question 13.
I made a few mistakes, but learnt a lot about motivation. (Rewrite as a complex sentence.)
Answer:
Though I made a few mistakes, I learnt a lot about motivation.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 14.
I learnt a lot of things when I was running these large companies.
(Pick out the subordinate clause and state its type.)
Answer:
when I was running these large companies – Subordinate adverb clause of time.

Question 15.
You need to lead from the front.
(Add a question tag.)
Answer:
You need to lead from the front, don’t you?

Question 16.
I had also written 4 books with 500-700 pages each on Information Technology published by Tata McGraw-Hill. (Pick out the predicate.)
Answer:
predicate-had also written 4 books with 500-700 pages each on Information Technology published by Tata McGraw-Hill.

Vocabulary:

Question 1.
From the extract, prepare a word register of at least 6 words for:
‘Household appliances and objects’:
Answer:
fan, refrigerator, geyser, dining table, gas stove, air conditioner.

Question 2.
Match the columns:

A B
1. dining (a) days
2. gas (b) conditioner
3. school (c) table
4. air (d) stove
5. rich (e) music
6. Indian (f) childhood

Answer:

A B
1. dining (c) table
2. gas (d) stove
3. school (a) days
4. air (b) conditioner
5. rich (f) childhood
6. Indian (e) music

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 3.
Choose the correct noun forms from those given in brackets:

  1. elegant (elegance/elegantly)
  2. solve (solving/solution)
  3. develop (developmental/development)
  4. logically (logical/logic)
  5. appear (appearance/apparently)
  6. including (inclusive/inclusion)

Answer:

  1. elegant – elegance
  2. solve – solution
  3. develop – development
  4. logically – logic
  5. appear – appearance
  6. including – inclusion

Question 4.
Write the verb forms of the following:

  1. maximum
  2. examination
  3. challenging
  4. beauty
  5. quickly
  6. admission

Answer:

  1. maximum – maximise
  2. examination – examine
  3. challenging – challenge
  4. beauty – beautify
  5. quickly – quicken
  6. admission – admit

Question 5.
Find out a word related to the game of cricket. List two meanings for it.
Answer:
Scoring:
1. general meaning: getting something
2. related to cricket: gaining runs

Question 6.
Guess the meaning of:

  1. inferiority complex
  2. sophisticated
  3. arrogant

Answer:

  1. inferiority complex – a feeling that you are not as good, as intelligent, as attractive, etc. as other people
  2. sophisticated – smart and polished
  3. arrogant – unpleasantly proud

Question 7.
Find out a word related to the game of cricket. List two meanings for it.
Answer:
Stumped: (Note: The word is not in the lesson but in the question on page 86)
1. general meaning : to be unable to answer a question or solve a problem because it is too difficult
2. related to cricket: being stumped is a method of dismissing a batsman.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 8.
Guess the meaning:
1. negotiate
2. at ease
Answer:
1. negotiate – to have formal discussions with someone in order to reach an agreement with them
2. at ease – comfortable.

Question 9.
Find the full forms of:

  1. IIT
  2. TFIR
  3. BARC
  4. TCP
  5. IP

Answer:

  1. IIT: Indian Institute of Technology
  2. TIFR: Tata Institute of Fundamental Research
  3. BARC: Bhabha Atomic Research Centre
  4. TCP: Transmission Control Protocol
  5. IP: Internet Protocol

Question 10.
Find the meaning of: anything under the sun
Answer:
anything under the sun-anything at all.

Question 11.
Find the full form of: GRE
Answer:
GRE – Graduate Record Examination

Question 12.
Match the following:

A B
1. Sociology (a) the scientific study of material remains of past human life and activities.
2. Economics (b) the study of the development, structure, and functioning of human society.
3. Psychology (c) the branch of knowledge concerned with the production, consumption, and transfer of wealth.
4. Archaelogy (d) the scientific study of the human mind and its functions.

Answer:

  1. Sociology – the study of the development, structure, and functioning of human society.
  2. Economics – the branch of knowledge concerned with the production, consumption, and transfer of wealth.
  3. Psychology – the scientific study of the human mind and its functions.
  4. Archaelogy – the scientific study of material remains of past human life and activities.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 13.
From the extract find four words that form their antonyms by adding a prefix:
Answer:

  1. important × unimportant
  2. successful × unsuccessful
  3. possible × impossible
  4. written × unwritten

Question 14.
Write the past participles of:

  1. learn
  2. write
  3. change
  4. make

Answer:

  1. learn – learnt
  2. write – written
  3. change – changed
  4. make – made

Question 15.
Find out a word related to the game of cricket. List two meanings for it.
Answer:
target setting:
1. general meaning: deciding something that one hopes or intends to accomplish
2. related to cricket: deciding the number of runs to be achieved.

Question 16.
Give the adjective forms of the following:

  1. humanity
  2. rationality
  3. humility
  4. equality
  5. curiosity
  6. knowledge

Answer:

  1. humanity – humane
  2. rationality – rational
  3. humility – humble
  4. equality – equal
  5. curiosity – curious
  6. knowledge – knowledgeable

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Non-Textual Grammar:

Do as directed:

Question 1.
To their astonishment they found a hissing snake stopping their way. (Rewrite using the verb form of the underlined word.)
Answer:
They were astonished to find a hissing snake stopping their way.

Question 2.
The minister spotted his cheerful face in the crowd and called out to him. (Rewrite using the present participle form of the verb ‘to spot’.)
Answer:
The minister, spotting his cheerful face in the crowd, called out to him./Spotting his cheerful face in the crowd, the minister called out to him.

Question 3.
He is a great king.
(Rewrite as an exclamatory sentence.)
Answer:
What a great king he is

Spot the error in the following sentences and rewrite them correctly:

Question 1.
Even though the laptop is expensive, but I wish to buy it for my mother.
Answer:
Even though the laptop is expensive, I wish to buy it for my mother.

Maharashtra Board Class 12 English Yuvakbharati Solutions Chapter 1.8 Voyaging Towards Excellence

Question 2.
The story should not exceed more than 800 words.
Answer:
The story should not exceed 800 words.

Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices

Balbharti Maharashtra State Board 12th Physics Textbook Solutions Chapter 16 Semiconductor Devices Textbook Exercise Questions and Answers.

Maharashtra State Board 12th Physics Solutions Chapter 16 Semiconductor Devices

1. Choose the correct option

i.
In a BJT, the largest current flow occurs
(A) in the emitter
(B) in the collector
(C) in the base
(D) through CB junction.
Answer:
(A) in the emitter

ii.
A series resistance is connected in the Zener diode circuit to
(A) properly reverse bias the Zener
(B) protect the Zener
(C) properly forward bias the Zener
(D) protect the load resistance.
Answer:
(A) properly reverse bias the Zener

Maharashtra Board Class 12 Physics Solutions Chapter 1 Semiconductor Devices

iii.
An LED emits visible light when its
(A) junction is reverse biased
(B) depletion region widens
(C) holes and electrons recombine
(D) junction becomes hot.
Answer:
(C) holes and electrons recombine

iv.
Solar cell operates on the principle of
(A) diffusion
(B) recombination
(C) photovoltaic action
(D) carrier flow.
Answer:
(C) photovoltaic action

v.
A logic gate is an electronic circuit which
(A) makes logical decisions
(B) allows electron flow only in one direction
(C) works using binary algebra
(D) alternates between 0 and 1 value.
Answer:
(A) makes logical decisions

2 Answer in brief.

i.
Why is the base of a transistor made thin and is lightly doped?
Answer:
The base of a transistor is lightly doped than the emitter and is made narrow so that virtually all the electrons injected from the emitter (in an npn tran-sistor) diffuse right across the base to the collector junction without recombining with holes. That is, the base width is kept less than the recombination distance. Also, the emitter is much heavily doped than the base to improve emitter efficiency and common-base current gain a.

ii.
How is a Zener diode different than an ordinary diode?
Answer:
A Zener diode is heavily doped-the doping con-centrations for both p- and n-regions is greater than 1018 cm-3 while those of an ordinary diode are voltage (PIV) of an ordinary diode is higher than a Zener diode and the breakdown occurs by impact ionization (avalanche process). Their I-V characteristics are otherwise similar.

iii.
On which factors does the wavelength of light emitted by a LED depend?
Answer:
The intensity of the emitted light is directly propor-tional to the recombination rate and hence to the diode forward current. The colour of the light emitted by an LED depends on the compound semiconductor material used and its composition (and doping levels) as given below :
Table: Typical semiconductor materials and emitted colours of LEDs

Material Emitted colour(s)
Gallium arsenide (GaAs), Indium gallium arsenide phosphide (InGaAsP) Infrared
Aluminum gallium arsenide (AlGaAs) Deep red, also IR laser
Indium gallium phosphide (InGaP) Red
Gallium arsenide phosphide (GaAsP), aluminum indium gallium phosphide (AlInGaP) Orange, red or yellow
Gallium phosphide (GaP) Green or yellow
Aluminium gallium phosphide (AlGaP), zinc selenide (ZnSe), zinc selenide telluride (ZnSeTe), nitrogen impregnated gallium phosphide (GaP:N) Green
Indium gallium nitride (InGaN), gallium nitride (GaN), sine sulphide (ZnS) Blue and violet Longer wave lengths (green and yellow) are obtained by increasing the indium (In) content. Phosphor encapsulation produce white light.
Aluminium gallium nitride (AlGaN)

 

Ultraviolet

iv.
Why should a photodiode be operated in reverse biased mode?
Answer:
A photodiode is operated in a reverse biased mode because as photodetector or photosensor, it must conduct only when radiation is incident on it. In the reverse biased mode, the dark current for zero illumination is negligibly small—of the order of few picoamperes to nanoamperes. But when illuminated, the photocurrent is several orders of magnitude greater.

v.
State the principle and uses of a solar Cell.
Answer:
A solar cell is an unbiased pn-junction that converts the energy of sunlight directly into electricity with a high conversion efficiency.

Principle : A solar cell works on the photovoltaic effect in which an emf is produced between the two layers of a pn-junction as a result of irradiation.

Maharashtra Board Class 12 Physics Solutions Chapter 1 Semiconductor Devices

Question 3.
Draw the circuit diagram of a half wave rectifier. Explain its working. What is the frequency of ripple in its output?
Answer:
A device or a circuit which rectifies only one-half of each. cycle of an alternating voltage is called a half-wave rectifier.
Electric circuit : The alternating voltage to be rectified is applied across the primary coil (P1P2) of a transformer. The secondary coil (S1S2) of the transformer is connected in series with the junction diode and a load resistance RL, as shown in below figure. The alternating voltage across the secondary coil is the ac input voltage Vi. The dc voltage across the load resistance is called the output voltage V0.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 33
Working : Due to the alternating voltage Vi, the p-region of the diode becomes alternatively positive and negative with respect to the n-region.
During the half-cycle when the p-region is positive, the diode is forward biased and conducts. A current IL passes through the load resistance RL in the direction shown.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 44
During the next half cycle, when the p-region is negative, the diode is reverse biased and the forward current drops to zero.

Thus, the diode conducts only during one-half of the input cycle and thus acts as a half-wave rectifier. The intermittent output voltage V0 has a fixed polarity but changes periodically with time between zero and a maximum value. IL is unidirectional. Above figure shows the input and output voltage waveforms.

The pulsating dc output voltage of a half-wave rectifier has the same frequency as the input.

Question 4.
Why do we need filters in a power supply?
Answer:
A rectifier-half-wave or full-wave – outputs a pul-sating dc which is not directly usable in most electronic circuits. These circuits require something closer to pure dc as produced by batteries. Unlike pure dc waveform of a battery, a rectifier output has an ac ripple riding on a dc waveform.

The circuit used in a dc power supply to remove the ripple is called a filter. A filter circuit can produce a very smooth waveform that approximates the waveform produced by a battery. The most common technique used for filtering is a capacitor connected across the output of a rectifier.

Question 5.
Draw a neat diagram of a full wave rectifier and explain it’s working.
Answer:
A device or a circuit which rectifies both halves of each cycle of an alternating voltage is called a full-wave rectifier.
Electric circuit : The alternating voltage to be rectified is applied across the primary coil (P1P2) of a transformer with a centre-tapped secondary coil (S1S2). The terminals and S2 of the secondary are connected to the two p-regions of two junction diodes D1 and D2, respectively. The centre-tap T is connected to the ground. The load resistance RL is connected across the common n-regions and the
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 5
P1P2, S1S2 : Primary and secondary of transformer,
T : Centre-tap on secondary; D1 D2 : Junction diodes,
RL : Load resistance, IL : Load current,
Vi: AC input voltage, V0 : DC output voltage
Above Figure : Full-wave rectifier circuit

Working : During one half cycle of the input, terminal S1 of the secondary is positive while S2 is negative with respect to the ground (the centre-tap T). During this half cycle, diode D1 is forward biased and conducts, while diode D2 is reverse biased and does not conduct. The direction of current ZL through RL is in the sense shown.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 66
During the next half cycle of the input voltage, S2 becomes positive while S, is negative with respect to T. Diode D2 now conducts sending a current IL through RL in the same sense as before. Dt now does not conduct. Thus, the current through RL flows in the same direction, i.e., it is unidirectional, for both halves or the full-wave of the input. This is called full-wave rectification.

The output voltage has a fixed polarity but varies periodically with time between zero and a maximum value. Above figure shows the input and output voltage waveforms. The pulsating dc output voltage of a full-wave rectifier has twice frequency of the input.

Question 6.
Explain how a Zener diode maintains constant voltage across a load.
Answer:
Principle : In the breakdown region of a Zener diode, for widely changing Zener current, the voltage across the Zener diode remains almost constant.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 77
Electric circuit : The circuit for regulating or stabilizing the voltage across a load resistance RL against change in load current and supply voltage is shown in above figure. The Zener diode is connected parallel to load Rh such that the current through the Zener diode is from the n to p region. The series resistance Rs limits the current through the diode below the maximum rated value.
From the circuit, I = IZ + IL and V = IRs + VZ
= (IZ + IL)Rs + VZ
Working: When the input unregulated dc voltage V across the Zener diode is greater than the Zener voltage VZ in magnitude, the diode works in the Zener breakdown region. The voltage across the diode and load Rh is then VZ. The corresponding current in the diode is IZ.

As the load current (I) or supply voltage (V) changes, the diode current (7Z) adjusts itself at constant VZ. The excess voltage V-VZappears across the series resistance Rs.

For constant supply voltage, the supply current I and the voltage drop across Rs remain constant. If the diode is within its regulating range, an increase in load current is accompanied by a decrease in Iz at constant VZ.
Since the voltage across RL remains constant at VZ, the Zener diode acts as a voltage stabilizer or voltage regulator.

Maharashtra Board Class 12 Physics Solutions Chapter 1 Semiconductor Devices

Question 7.
Explain the forward and the reverse characteristic of a Zener diode.
Answer:
The forward bias region of a Zener diode is identical to that of a regular diode. There is forward current only after the barrier potential of the pn- junction is overcome. Beyond this threshold or cut in voltage, there is an exponential upward swing.

The typical forward voltage at room temperature with a current of around 1 mA is around 0.6 V.

In the reverse bias condition the Zener diode is an open circuit and only a small reverse saturation current flows as shown with change of scale. At the reverse breakdown voltage there is an abrupt rapid increase in the current-the knee is very sharp, followed by an almost vertical increase in current. The voltage across the Zener diode in the breakdown region is very nearly constant with only a small increase in voltage with increasing current. There is a minimum Zener current, IZ (min), that places the operating point in the desired breakdown region. At some high current level, IZM, the power dissipation of the diode becomes excessive beyond which the diode can be damaged.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 8
Zener diode characteristics

The I-V characteristics of a Zener diode is not totally vertical in the breakdown region. This means that for slight changes in current, there will be a small change in the voltage across the diode. The voltage change for a given change in current is the resistance RZ of the Zener diode.

Question 8.
Explain the working of a LED.
Answer:
Working :
An LED is forward-biased with about 1.2 V to 3.6 V at 12 mA to 20 mA. Majority carriers electrons from n-type layer and holes from p-type layer are injected into the active layer. Electrons cross the junction into the p-layer. In the active p-layer, some of these excess minority carriers electrons, recombine radiatively with majority carriers, holes, thereby emitting photons. The resulting photon has an energy approximately equal to the bandgap of the active layer material. Modifying the bandgap of the active layer creates photons of diferent energies.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 99
In the energy band diagram this recombination is equivalent to a transition of the electron from a higher energy state in the conduction band to a lower energy state in the valence band. The energy difference is emitted as a photon of energy hv.
[Note : The photons originate primarily in the p-side of the junction which has a bandgap EGp narrower than that of the n-side, EGn. Thus, with hv < EGn, the photons are emitted through the wide-bandgap n-region with essentially no absorption.]

Question 9.
Explain the construction and working of solar cell.
Answer:
Construction :
A simple pn-junction solar cell con-sists of a p-type semiconductor substrate backed with a metal electrode back contact. A thin n-layer (less than 2.5 pm, for silicon) is grown over the p-type substrate by doping with suitable donor impurity. Metal finger electrodes are prepared on top of the n-layer so that there is enough space between the fingers for sunlight to reach the n-layer and, subsequently, the underlying pn-junction.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 1111
Working : When exposed to sunlight, the absorption of incident radiation (in the range near-UV to infrared) creates electron-hole pairs in and near the depletion layer.

Consider light of frequency v incident on the pn-junction such that the incident photon energy hv is greater than the band gap energy EG of the semiconductor. The photons excite electrons from the valence band to the conduction band, leaving vacancies or holes in the valence band, thus generating electron-hole pairs.

The photogenerated electrons and holes move towards the n side and p side, respectively. If no external load is connected, these photogenerated charges get collected at the two sides of the junction and give rise to a forward photovoltage. In a closed- circuit, a current I passes through the external load as long as the solar cell is exposed to sunlight.

A solar cell module consists of several solar cells connected in series for a higher voltage output. For outdoor use with higher power output, these modules are connected in different series and parallel combinations to form a solar cell array.

[Note : Currently most of the crystalline solar cells are p-type as described above. This is because of a lower cost of production of p-type. But performance wise, n-type solar cells (a thin p-layer over an n-type substrate by doping with suitable acceptor impurity) can give much better efficiency compared to p-type solar cells.]

Maharashtra Board Class 12 Physics Solutions Chapter 1 Semiconductor Devices

Question 10.
Explain the principle of operation of a photodiode.
Answer:
Construction:
A photodiode consists of an n-type silicon substrate with a metal electrode back contact. A thin p-type layer is grown over the n-type substrate by diffusing a suitable acceptor dopant.

The area of the p-layer defines the photodiode active area. An ohmic contact pad is deposited on the active area. The rest of the active area is left open with a protective antireflective coating of silicon nitride to minimize the loss of photons. The nonactive area is covered with an insulating opaque SiO2 coating.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 1010
Depending on the required spectral sensitivity, i.e., the operating wavelength range, typical photodiode materials are silicon, germanium, indium gallium arsenide phosphide (InGaAsP) and indium gallium arsenide (InGaAs), of which silicon is the cheapest while the last two are expensive.

Working : The band gap energy of silicon is EG = 1.12 eV at room temperature. Thus, photons or particles with energies greater than or equal to 1.12 eV, which corresponds to 110 nm, can transfer electrons from the valence band into the conduction band.

A photodiode is operated in the reverse bias mode which results in a wider depletion region. When operated in the dark (zero illumination), there is a reverse saturation current due solely to the thermally generated minority charge carriers. This is called the dark current. Depending on the minority carrier concentrations, the dark current in an Si photodiode may range from 5 pA to 10 nA.

When exposed to radiation of energy hv ≥ EG (in the range near-UV to near-IR), electron-hole pairs are created in the depletion region. The electric field in the depletion layer accelerates these photogenerated electrons and holes towards the n side and p side, respectively, constituting a photocurrent l in the external circuit from the p side to the n side. Due to the photogeneration, more charge carriers are available for conduction and the reverse current is increased. The photocurrent is directly propor-tional to the intensity of the incident light. It is independent of the reverse bias voltage.
[Notes : Typical photodiode materials are :
(1) silicon (Si) : low dark current, high speed, good sensitivity between ~ 400 nm and 1000 run (best around 800 nm-900 nm)
(2) germanium (Ge) : high dark current, slow speed, good sensitivity between ~ 900 nm and 1600 nm (best around 1400 nm-1500 nm)
(3) indium gallium arsenide phosphide (InGaAsP) : expensive, low dark current, high speed, good sensitivity between ~ 1000 nm and 1350 nm (best around 1100 nm- 1300 nm)
(4) indium gallium arsenide (InGaAs): expensive, low dark current, high speed, good sensitivity between ~ 900 nm and 1700 nm (best around 1300 nm-1600 nm],

Question 11.
What do you mean by a logic gate, a truth table and a Boolean expression?
Answer:
A logic gate is a basic switching circuit used in digital circuits that determines when an input pulse can pass through to the output. It generates a single output from one or more inputs.

Explanation/Uses :
Any digital computation process consists in performing a sequence of arithmetical operations on the data of the problem. At each stage in the computation, the nature of the operation to be performed is decided partly by the pre-determined program and partly by the outcome of earlier stages in the process. We therefore need switches with multiple inputs to perform logical operations, i.e., the outputs of these switches are determined in specified ways by the condition (binary state) of their inputs. These arrangements are known as logic gates, and mostly they are extension of a simple transistor switch.

(1) Boolean expression : An equation expressing a logical compound statement in Boolean algebra is called a Boolean expression. A Boolean expression for a logic gate expresses the relation between input(s) and output of a logic gate.

(2) Truth table : The table which shows the truth values of a Boolean expression for a logic gate for all possible combinations of its inputs is called the truth table of logic gate.

The truth table contains one row for each input combination. Since a logical variable can assume only two possible values, 0 and 1, there are 2N combinations of N inputs so that the table has 2N rows.
[Note : Boolean algebra is a form of symbolic logic developed in 1847 by George Boole (1815-64) British mathematician.]

Maharashtra Board Class 12 Physics Solutions Chapter 1 Semiconductor Devices

Question 12.
What is logic gate? Write down the truth table and Boolean expression for ‘AND’ gate.
Answer:
A logic gate is a basic switching circuit used in digital circuits that determines when an input pulse can pass through to the output. It generates a single output from one or more inputs.

The AND gate : It is a circuit with two or more inputs and one output in which the output signal is HIGH if and only if all the inputs are HIGH simultaneously.

The AND operation represents a logical multiplication.

Below figure shows the 2-input AND gate logic symbol and the Boolean expression and the truth table for the AND function.
Logic symbol:
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 13

Truth table:
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 144

Boolean expression:
Y = A ∙ B

Question 13.
What are the uses of logic gates? Why is a NOT gate known as an inverter?
Answer:
Explanation/Uses :
Any digital computation process consists in performing a sequence of arithmetical operations on the data of the problem. At each stage in the computation, the nature of the operation to be performed is decided partly by the pre-determined program and partly by the outcome of earlier stages in the process. We therefore need switches with multiple inputs to perform logical operations, i.e., the outputs of these switches are determined in specified ways by the condition (binary state) of their inputs. These arrangements are known as logic gates, and mostly they are extension of a simple transistor switch.

The NOT gate or INVERTER : It is a circuit with one input whose output is HIGH if the input is LOW and vice versa.

The NOT operation outputs an inverted version of the input. Hence, a NOT gate is also known as an INVERTER.

The small invert bubble on the output side of the inverter logic symbol, below figure and the over bar () in the Boolean expression represent the invert function.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 1.1

Question 14.
Write the Boolean expression for (i) OR gate, (ii) AND gate, and (iii) NAND Gate.
Answer:
(i) The OR gate : It is a circuit with two or more inputs and one output in which the output signal is HIGH if any one or more of the inputs is HIGH.
The OR operation represents a logical addition.
Below figure shows the 2-input OR gate logic sym-bol, and the Boolean expression and the truth table for the OR function.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 1.2

(ii) The AND gate : It is a circuit with two or more inputs and one output in which the output signal is HIGH if and only if all the inputs are HIGH simultaneously.

The AND operation represents a logical multiplication.

Below figure shows the 2-input AND gate logic symbol and the Boolean expression and the truth table for the AND function.
Logic symbol:
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 13

Truth table:
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 144

Boolean expression:
Y = A ∙ B

(iii) The NAND gate : It is a circuit with two or more inputs and one output, whose output is HIGH if any one or more of the inputs is LOW; the output is LOW if all the inputs are HIGH.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 1.3
The NAND gate is a combination of an AND gate followed by a NOT gate so that the truth table of the NAND function is obtained by inverting the outputs of the AND gate.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 1818

Question 15.
Why is the emitter, the base and the collector of a BJT doped differently?
Answer:
A BJT being a bipolar device, both electrons and holes participate in the conduction process. Under the forward-biased condition, the majority carriers injected from the emitter into the base constitute the largest current component in a BJT. For these carriers to diffuse across the base region with t negligible recombination and reach the collector junction, these must overwhelm the majority carriers of opposite charge in the base. The total emitter current has two components, that due to majority carriers in the emitter and that due to minority carriers diffused from base into emitter. The ratio of the current component due to the injected majority carriers from the emitter to the total emitter current is a measure of the emitter efficiency. To improve the emitter efficiency and the common-base current gain (a), it can be shown that’ the emitter should be much heavily doped than the base.

Also, the base width is a function of the base- collector voltage. A low doping level of the collector increases the size of the depletion region. This increases the maximum collector-base voltage and reduces the base width. Further, the large depletion region at the collector-base junction-extending mainly into the collector-corresponds to a smaller electric field and avoids avalanche breakdown of the reverse-biased collector-base junction.
[Note : Effective dopant concentrations of (a) npn transistor (b) pnp transistor are shown below.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 12
The base doping is less than the emitter doping but greater than the collector doping. Contrary to the impression stressed in the Board’s and NCERT textbooks, collector doping is typically an order of magnitude lower than base doping. {Ref. : Semiconductor Devices Physics and Technology (3rd Edition), Simon M. Sze and M. K. Lee, p. 125}]

Question 16.
Which method of biasing is used for operating transistor as an amplifier?
Answer:
For use as an amplifier, the transistor should be in active mode. Therefore, the emitter-base junction is forward biased and the collector-base junction is reverse biased. Also, an amplifier uses an emitter bias rather than a base bias.

Maharashtra Board Class 12 Physics Solutions Chapter 1 Semiconductor Devices

Question 17.
Define α and β. Derive the relation between then.
Answer:
The dc common-base current ratio or current gain (αdc) is defined as the ratio of the collector current to emitter current.
αdc = \(\frac{I_{C}}{I_{\mathrm{E}}}\)
The dc common-emitter current ratio or current gain (βdc) is defined as the ratio of the collector current to base current.
βdc = \(\frac{I_{C}}{I_{B}}\)
Since the emitter current IE = IB + IC
\(\frac{I_{\mathrm{E}}}{I_{C}}=\frac{I_{\mathrm{B}}}{I_{\mathrm{C}}}+1\)
∴ \(\frac{1}{\alpha_{\mathrm{dc}}}=\frac{1}{\beta_{\mathrm{dc}}}+1\)
Therefore, the common-base current gain in terms of the common-emitter current gain is
αdc = \(\frac{\beta_{\mathrm{dc}}}{1+\beta_{\mathrm{dc}}}\)
and the common-emitter current gain in terms of the common-base current gain is
βdc = \(\frac{\alpha_{\mathrm{dc}}}{1-\alpha_{\mathrm{dc}}}\)
For a transistor, αdc is close to but always less than 1 (about 0.92 to 0.98) and βdc ranges from 20 to 200 for most general purpose transistors.

Question 18.
The common-base DC current gain of a transistor is 0.967. If the emitter current is 10mA. What is the value of base current?
Answer:
Data : αdc = 0.967, IE = 10 mA
αdc = \(\frac{I_{C}}{I_{\mathrm{E}}}\) and IE = IB + IC
The collector current,
IC = αdcIE = 0.967 × 10 = 9.67 mA
Therefore, the base current,
IB = IE – IC = 10 – 9.67 = 0.33 mA

Question 19.
In a comman-base connection, a certain transistor has an emitter current of 10mA and collector current of 9.8 mA. Calculate the value of the base current.
Answer:
DATA : IE = 10 mA, IC = 9.8 mA
IE = IB + IC
Therefore, the base current,
IB = IE – IC – 10 – 9.8 = 0.2 mA

Question 20.
In a common-base connection, the emitter current is 6.28mA and collector current is 6.20 mA. Determine the common base DC current gain.
Answer:
Data : IE = 6.28 mA, IC = 6.20 mA
αdc = \(\frac{I_{C}}{I_{\mathrm{E}}}\) and βdc = \(\frac{I_{\mathrm{C}}}{I_{\mathrm{B}}}=\frac{\alpha_{\mathrm{dc}}}{1-\alpha_{\mathrm{dc}}}\)
Common-emitter current gain, αdc = \(\frac{6.20}{6.28}\) = 0.9873
Therefore, common-base current gain,
βdc = \(\frac{0.9873}{1-0.9873}=\frac{0.9873}{0.0127}\) = 77.74
OR
IE = IB + IC
∴ IB = IE – IC = 6.28 – 6.20 = 0.08 mA
∴ βdc = \(\frac{6.20}{0.08}\) = 77.5
[Note : The answer given in the textbook obviously refers to the common-emitter current gain.]

12th Physics Digest Chapter 16 Semiconductor Devices Intext Questions and Answers

Remember this (Textbook Page No. 346)

Question 1.
A full wave rectifier utilises both half cycles of AC input voltage to produce the DC output.
Answer:
A half-wave rectifier rectifies only one half of each cycle of the input ac wave while a full-wave rectifier rectifies both the halves. Hence the pulsating dc output voltage of a half-wave rectifier has the same frequency as the input but that of a full-wave rectifier has double the frequency of the ac input.

Do you know (Textbook Page No. 346)

Question 1.
The maximum efficiency of a full wave rectifier is 81.2% and the maximum efficiency of a half wave rectifier is 40.6%. It is observed that the maximum efficiency of a full wave rectifier is twice that of half wave rectifier.
Answer:
The ratio of dc power obtained at the output to the applied input ac power is known as rectifier efficiency. A half-wave rectifier can convert maximum 40.6% of ac power into dc power, and the remaining power of 59.4% is lost in the rectifier circuit. In fact, 50% power in the negative half cycle is not converted and the remaining 9.4% is lost in the circuit. Hence, a half wave rectifier efficiency is 40.6%. The maximum efficiency of a full-wave rectifier is 81.2%, i.e., twice that of a half-wave rectifier.

Do you know (Textbook Page No. 349)

Question 1.
The voltage stabilization is effective when there is a minimum Zener current. The Zener diode must be always operated within its breakdown region when there is a load connected in the circuit. Similarly, the supply voltage Vs must be greater than Vz.
Answer:
A Zener diode is operated in the breakdown region. There is a minimum Zener current, Iz, that places the desired operating point in the breakdown region. There is a maximum Zener current, IzM, at which the power dissipation drives the junction temperature to the maximum allowed. Beyond that current the diode can be damaged. Hence, the supply voltage must be greater than Vz and the current-limiting resistor must limit the diode current to less than the rated maxi mum, IzM.

Remember this (Textbook Page No. 350)

Question 1.
Zener effect occurs only if the diode is heavily doped, because when the depletion layer is thin, breakdown occurs at low reverse voltage and the field strength will be approximately 3 × 107 V/m. It causes an increase in the flow of free carriers and increase in the reverse current.
Answer:
Zener breakdown occurs only in heavily doped pn junctions (doping concentrations for both p- and n-regions greater than 1018 cm3) and can take place only if the electric field in the depletion region of the reverse-biased junction is very high. It is found that the critical field at which tunneling becomes probable, i.e., at which Zener breakdown commences, is approximately 106 V/cm. [“internal Field Emissiot at Narrow Silicon and Germanium PN-Junctions,” Phys. Rev., 118, 425 (1960).]

Can you tell (Textbook Page No. 350)

Question 1.
How does a cell phone charger produce a voltage of 5.0 V form the line voltage of 230V?
Answer:
A phone charger is usually a 5 V power supply. A 4-diode bridge input rectifier rectifies the ac mains voltage a provide a high voltage dc. A transistor chopper switches this on and off at high frequency. This stage is required because this high frequency allows the transformer to be smaller, lighter and much lower in cost.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 19
A small transformer steps this down to a low voltage high-frequency ac. An output rectifier and filter convert this to low-voltage (5 V) dc and smooths out the ripple. A chopper controller provides a feedback to the chopper through an optoisohitor and adjusts the chopping cycle to maintain the output voltage at 5 V.
Maharashtra Board Class 12 Physics Solutions Chapter 16 Semiconductor Devices 20

Question 2.
Why is a resistance connected in series with a Zener diode when used in a circuit?
Answer:
The I-V characteristics in the breakdown region of a Zener diode is almost vertical. That is, the current IZ can rapidly increase at constant VZ. To prevent damage due to excessive heating, the Zener current should not exceed the rated maximum current, IZM. Hence, a current-limiting resistor Rs is connected in series with the diode.

IZ and the power dissipated in the Zener diode will be large for I L = 0 (no-load condition) or when IL is less than the rated maximum (when Rs is small and RL is large). The current-limiting resistor Rs is so chosen that the Zener current does not exceed the rated maximum reverse current, IZM when there is no load or when the load is very high.
The rated maximum power of a Zener diode is
PZM = IZM = VZ

At n-load condition, the current through R is I = IZM and the voltage drop across it is V – VZ, where V is the unregulated source voltage. The diode current will be maximum when V is maxi mum at Vmax and I = IZM. Then, the minimum value of the series resistance should be
Rs, min = \(\frac{V_{\max }-V_{\mathrm{Z}}}{I_{\mathrm{ZM}}}\)

Question 3.
The voltage across a Zener diode does not remain strictly constant with the changes in the Zener current. This is due to RZ, the Zener impedance, or the internal resistance of the Zener diode. RZ acts like a small resistance in series with the Zener. Changes in IZ cause small changes in VZ .
Answer:
The I-V characteristics of a Zener diode in the breakdown region is not strictly vertical. Its slope is 1/RZ, where RZ is the Zener impedance.

Can you know (Textbook Page No. 354)

Question 1.
What is the difference between a photo diode and a solar cell?
Answer:
Both are semiconductor photovoltaic devices. A photodiode is a reverse-biased pn-junction diode while a solar cell is an unbiased pn-junction diode. Photod iodes, however, are optimized for light detection while solar cells are optimized for energy conversion efficiency.

Question 2.
When the intensity of light incident on a photo diode increases, how is the reverse current affected?
Answer:
The photocurrent increases linearly with increasing illuminance, limited by the power dissipation of the photodiode.

Do you know (Textbook Page No. 355)

Question 1.
LED junction does not actually emit that much light so the epoxy resin body is constructed in such a way that the photons emitted by the junction are reflected away from the surrounding substrate base to which the diode is attached and are focused upwards through the domed top of the LED, which itself acts like a lens concentrating the light. This is why the emitted light appears to be brightest at the top of the LED.
Answer:
The pn-junction of an LED is encased in a transparent, hard plastic (epoxy resin), not only for shock protection but also for enhancing the brightness in one direction. Light emitted by the pn-junction is not directional. The hemispherical epoxy lens focuses the light in the direction of the hemispherical part. This is why the emitted light appears to be brightest at the top of the LED.

Question 2.
The current rating of LED is of a few tens of milli-amps. Hence it is necessary to connect a high resistance in series with it. The forward voltage drop of an LED is much larger than an ordinary diode and is around 1.5 to 3.5 volts.
Answer:
Most common LEDs require a forward operating voltage of between approximately 1.2 V (for a standard red LED) to 3.6 V (for a blue LED) with a forward current rating of about 10 mA to 30 mA, with 12 mA to 20 mA being the most common range. Like any diode, the forward current is approximately an exponential function of voltage and the forward resistance is very small. A small voltage change may result in a large change in current. If the current exceeds the rated maximum, an LED may overheat and get destroyed. LEDs are current driven devices and a current-limiting series resistor is required to prevent burning up the LED.

Do you know (Textbook Page No. 356)

Question 1.
White Light LEDs or White LED Lamps:
Shuji Nakamura, a Japanese – born American electronic engineer invented the blue LED. He was awarded the Nobel prize for physics for 2014. He was also awarded the global energy prize in the year 2015. His invention of blue LED made the fabrication of white LED possible.
LED lamps, bulbs, street lighting are becoming very popular these days because of the very high efficiency of LEDs in terms of light output per unit input power(in milliWatts), as compared to the incandescent bulbs. So for general purpose lightings, white light is preferred.
Commercially available white LEDs are normally manufactured by using the technique of wavelength conversion. It is a process which partly or completely converts the radiation of a LED into white light. There are many ways of wavelength conversion. One of these methods uses blue LED and yellow phosphor. In this method of wavelength conversion, a LED which emits blue colour is used to excite a yellow colour phosphor. This results in the emission of yellow and blue light and this mixture of blue and yellow light gives the appearance of white light. This method is the least expensive method for producing white light.
Answer:

The all important blue LEDs
The development of LEDs has made more efficient light sources possible. Creating white light that can be used for lighting requires a combination of red, green and blue light. Blue LEDs proved to be much more difficult to create than red and green LEDs. During the 1980s and 1990s Isamu Akasaki, Hiroshi Amano, and Shuji Nakamura successfully used the difficult-to-handle semiconductor gallium nitride to create efficient blue LEDs. Isamu Akasaki is known for invent ing the bright gallium nitride (CaN) pn-junction blue LED in 1989 and subsequently the high-brightness CaN blue LED.

Using blue LEDs, highly efficient white light sources. became possible by converting part of the blue light emitted from an LED to yellow using a phosphor. To the human eye, the combination of blue and yellow light is perceived as white. A white LED can be created by embedding phosphors in the plastic cap which surrounds a blue LED. Higher quality white light can also be created by mixing blue light with other colors as well, including red and green

Isamu Akasaki, together with Shuji Nakamura and Hiroshi Amano, received the 2014 Nobel Prize in Physics for the invention of efficient blue light-emitting diodes which has enabled bright and energy saving white light sources.

Use your brain power (Textbook Page No. 357)

Question 1.
What would happen if both junctions of a BJT are forward biased or reverse biased?
Answer:
A BJT has four regimes of operation, depending on the four combinations of the applied biases (voltage polarities) to the emitter-base junction and the collector-base junction, as shown in the following table; ‘F’ and ‘R’ indicate forward bias and reverse bias, respectively.

Remember This (Textbook Page No. 358)

Question 1.
The lightly doped, thin base region sandwiched between the heavily doped emitter region and the intermediate doped collector region plays a crucial role in the transistor action.
Answer:
If the two junctions in a BJT are physically close compared with the minority carrier diffusion length (i.e., the distance within which recombination will take place), the careers injected from the emitter can diffuse through the base to reach the base-collector junction. The narrow width of the base is thus crucial for transistor action.

Use your brain power (Textbook Page No. 361)

Question 1.
If a transistor amplifies power, explain why it is not used to generate power.
The term ‘amplification’ is used as an abstraction of the transistor properties so that we have few equations which are useful for a large number of practical problems. Transistors use a small power to control a power supply which can output a huge power. The large output comes from the power supply, while the input signal valves the transistor on and off. The increased power comes from the power supply so that a transistor does not violate the law of conservation of energy.

Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atoms and Nuclei

Balbharti Maharashtra State Board 12th Physics Textbook Solutions Chapter 15 Structure of Atoms and Nuclei Textbook Exercise Questions and Answers.

Maharashtra State Board 12th Physics Solutions Chapter 15 Structure of Atoms and Nuclei

In solving problems, use me = 0.00055 u = 0.5110 MeV/c2, mp = 1.00728 u, mn = 1.00866u, mH = 1.007825 u, u = 931.5 MeV, e = 1.602 × 10-19 C, h = 6.626 × 10-34 Js, ε0 = 8.854 × 10-12 SI units and me = 9.109 × 10-31 kg.

1. Choose the correct option.

i) In which of the following systems will the radius of the first orbit of the electron be the smallest?
(A) hydrogen
(B) singly ionized helium
(C) deuteron
(D) tritium
Answer:
(D) tritium

ii) The radius of the 4th orbit of the electron will be smaller than its 8th orbit by a factor of
(A) 2
(B) 4
(C) 8
(D) 16
Answer:
(B) 4

Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atoms and Nuclei

iii) In the spectrum of the hydrogen atom which transition will yield the longest wavelength?
(A) n = 2 to n = 1
(B) n = 5 to n = 4
(C) n = 7 to n = 6
(D) n = 8 to n = 7
Answer:
(D) n = 8 to n = 7

iv) Which of the following properties of a nucleus does not depend on its mass number?
(A) radius
(B) mass
(C) volume
(D) density
Answer:
(D) density

v) If the number of nuclei in a radioactive sample at a given time is N, what will be the number at the end of two half-lives?
(A) \(\frac{N}{2}\)
(B) \(\frac{N}{4}\)
(C) \(\frac{3N}{4}\)
(D) \(\frac{N}{8}\)
Answer:
(B) \(\frac{N}{4}\)

2. Answer in brief.

i) State the postulates of Bohr’s atomic model.
Answer:
The postulates of Bohr’s atomic model (for the hydrogen atom) :

  1. The electron revolves with a constant speed in acircular orbit around the nucleus. The necessary centripetal force is the Coulomb force of attraction of the positive nuclear charge on the negatively charged electron.
  2. The electron can revolve without radiating energy only in certain orbits, called allowed or stable orbits, in which the angular momentum of the electron is equal to an integral multiple of h/2π, where h is Planck’s constant.
  3. Energy is radiated by the electron only when it jumps from one of its orbits to another orbit having lower energy. The energy of the quantum of elec-tromagnetic radiation, i.e., the photon, emitted is equal to the energy difference of the two states.

ii) State the difficulties faced by Rutherford’s atomic model.
Answer:
(1) According to Rutherford, the electrons revolve in circular orbits around the atomic nucleus. The circular motion is an accelerated motion. According to the classical electromagnetic theory, an accelerated charge continuously radiates energy. Therefore, an electron during its orbital motion, should go on radiating energy. Due to the loss of energy, the radius of its orbit should go on decreasing. Therefore, the electron should move along a spiral path and finally fall into the nucleus in a very short time, of the order of 10-16 s in the case of a hydrogen atom. Thus, the atom should be unstable. We exist because atoms are stable.

(2) If the electron moves along such a spiral path, the radius of its orbit would continuously decrease. As a result, the speed and frequency of revolution of the electron would go on increasing. The electron, therefore, would emit radiation of continuously changing frequency, and hence give rise to a con-tinuous spectrum. However, atomic spectrum is a line spectrum.

Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atoms and Nuclei

iii) What are alpha, beta and gamma decays?
Answer:
(a) A radioactive transformation in which an α-particle is emitted is called α-decay.
In an α-decay, the atomic number of the nucleus decreases by 2 and the mass number decreases by 4.
Example : \({ }_{92}^{238} \mathrm{U} \rightarrow{ }_{90}^{234} \mathrm{Th}+{ }_{2}^{4} \alpha\)
Q = [mu – mTh – mα]c2

(b) A radioactive transformation in which a β-particle is emitted is called β-decay.
In a β-decay, the atomic number of the nucleus increases by 1 and the mass number remains unchanged.
Example : \({ }_{90}^{234} \mathrm{Th} \rightarrow{ }_{91}^{234} \mathrm{~Pa}+{ }_{-1}^{0} e+\bar{v}_{\mathrm{e}}\)
where \(\bar{v}_{\mathrm{e}}\) is the neutrino emitted to conserve the momentum, energy and spin.
Q = [mu – mTh – mα]c2
In a β+-decay, the atomic number of the nucleus decreases by 1 and the mass number remains unchanged.
Example : \(\begin{aligned}
&30 \\
&15
\end{aligned} P \rightarrow{ }_{14}^{30} \mathrm{Si}+{ }_{+1}^{0} e+v_{\mathrm{e}}\)
where ve is the neutrino emitted to conserve the momentum, energy and spin.
Q = [mP – mSi – me]c2
[Note : The term fi particle refers to the electron (or positron) emitted by a nucleus.]

A given nucleus does not emit α and β-particles simultaneously. However, on emission of α or β-particles, most nuclei are left in an excited state. A nucleus in an excited state emits a γ-ray photon in a transition to the lower energy state. Hence, α and β-particle emissions are often accompanied by γ-rays.

iv) Define excitation energy, binding energy and ionization energy of an electron in an atom.
Answer:
(1) Excitation energy of an electron in an atom : The energy required to transfer an electron from the ground state to an excited state (a state of higher energy) is called the excitation energy of the electron in that state.

(2) Binding energy of an electron in an atom is defined as the minimum energy that should be provided to an orbital electron to remove it from the atom such that its total energy is zero.

(3) Ionization energy of an electron in an atom is defined as the minimum energy required to remove the least strongly bound electron from a neutral atom such that its total energy is zero.

v) Show that the frequency of the first line in Lyman series is equal to the difference between the limiting frequencies of Lyman and Balmer series.
Answer:
For the first line in the Lyman series,
\(\frac{1}{\lambda_{\mathrm{L} 1}}=R\left(\frac{1}{1^{2}}-\frac{1}{2^{2}}\right)=R\left(1-\frac{1}{4}\right)=\frac{3 R}{4}\)
∴ vL1 = \(\frac{c}{\lambda_{\mathrm{L} 1}}=\frac{3 R_{c}}{4}\), where v denotes the frequency,
c the speed of light in free space and R the Rydberg constant.
For the limit of the Lyman series,
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 15
Hence, the result.

Question 3.
State the postulates of Bohr’s atomic model and derive the expression for the energy of an electron in the atom.
Answer:
The postulates of Bohr’s atomic model (for the hydrogen atom) :
(1) The electron revolves with a constant speed in acircular orbit around the nucleus. The necessary centripetal force is the Coulomb force of attraction of the positive nuclear charge on the negatively charged electron.
(2) The electron can revolve without radiating energy only in certain orbits, called allowed or stable orbits, in which the angular momentum of the electron is equal to an integral multiple of h/2π, where h is Planck’s constant.
(3) Energy is radiated by the electron only when it jumps from one of its orbits to another orbit having lower energy. The energy of the quantum of elec-tromagnetic radiation, i.e., the photon, emitted is equal to the energy difference of the two states.

Consider the electron revolving in the nth orbit around the nucleus of an atom with the atomic number Z. Let m and e be the mass and the charge of the electron, r the radius of the orbit and v the linear speed of the electron.

According to Bohr’s first postulate, centripetal force on the electron = electrostatic force of attraction exerted on the electron by the nucleus
∴ \(\frac{m v^{2}}{r}=\frac{1}{4 \pi \varepsilon_{0}} \cdot \frac{Z e^{2}}{r^{2}}\) ……………. (1)
where ε0 is the permittivity of free space.
∴ Kinetic energy (KE) of the electron
= \(\frac{1}{2} m v^{2}=\frac{Z e^{2}}{8 \pi \varepsilon_{0} r}\) ………….. (2)
The electric potential due to the nucleus of charge +Ze at a point at a distance r from it is
V = \(\frac{1}{4 \pi \varepsilon_{0}} \cdot \frac{\mathrm{Ze}}{r}\)
∴ Potential energy (PE) of the electron
= charge on the electron × electric potential
= – e × \(\frac{1}{4 \pi \varepsilon_{0}} \frac{Z e}{r}=-\frac{Z e^{2}}{4 \pi \varepsilon_{0} r}\) …………….. (3)
Hence, the total energy of the electron in the nth orbit is
E = KE + PE = \(\frac{-Z e^{2}}{4 \pi \varepsilon_{0} r}+\frac{Z e^{2}}{8 \pi \varepsilon_{0} r}\)
∴ E = \(-\frac{Z e^{2}}{8 \pi \varepsilon_{0} r}\) ………….. (4)
This shows that the total energy of the electron in the nth orbit of the atom is inversely proportional to the radius of the orbit as Z, ε0 and e are constants. The radius of the nth orbit of the electron is
r = \(\frac{\varepsilon_{0} h^{2} n^{2}}{\pi m Z e^{2}}\) …………….. (5)
where h is Planck’s constant.
From Eqs. (4) and (5), we get,
En = \(-\frac{Z e^{2}}{8 \pi \varepsilon_{0}}\left(\frac{\pi m Z e^{2}}{\varepsilon_{0} h^{2} n^{2}}\right)=-\frac{m Z^{2} e^{4}}{8 \varepsilon_{0}^{2} h^{2} n^{2}}\) ……………… (6)
This gives the expression for the energy of the electron in the nth Bohr orbit. The minus sign in the expression shows that the electron is bound to the nucleus by the electrostatic force of attraction.
As m, Z, e, ε0 and h are constant, we get
En ∝ \(\frac{1}{n^{2}}\)
i.e., the energy of the electron in a stationary energy state is discrete and is inversely proportional to the square of the principal quantum number.
[ Note : Energy levels are most conveniently expressed in electronvolt. Hence, substituting the values of m, e, £0 and h, and dividing by the conversion factor 1.6 × 10-19 J/eV,
En ≅ \(-\frac{13.6 Z^{2}}{n^{2}}\) (in eV)
For hydrogen, Z = 1
∴ En ≅ \(-\frac{13.6}{n^{2}}\) (in eV).

Question 4.
Starting from the formula for energy of an electron in the nth orbit of hydrogen atom, derive the formula for the wavelengths of Lyman and Balmer series spectral lines and determine the shortest wavelengths of lines in both these series.
Answer:
According to Bohr’s third postulate for the model of the hydrogen atom, an atom radiates energy only when an electron jumps from a higher energy state to a lower energy state and the energy of the
quantum of electromagnetic radiation emitted in this process is equal to the energy difference between the two states of the electron. This emission of radiation gives rise to a spectral line.

The energy of the electron in a hydrogen atom,
when it is in an orbit with the principal quantum
number n, is
En = \(-\frac{m e^{4}}{8 \varepsilon_{0}^{2} h^{2} n^{2}}\)
where m = mass of electron, e = electronic charge, h = Planck’s constant and = permittivity of free space.

Let Em be the energy of the electron in a hydrogen atom when it is in an orbit with the principal quantum number m and E, its energy in an orbit with the principal quantum number n, n < m. Then
Em = \(-\frac{m e^{4}}{8 \varepsilon_{0}^{2} h^{2} m^{2}}\) and En = \(-\frac{m e^{4}}{8 \varepsilon_{0}^{2} h^{2} m^{2}}\)
Therefore, the energy radiated when the electron jumps from the higher energy state to the lower energy state is
Em – En = \(\frac{-m e^{4}}{8 \varepsilon_{0}^{2} h^{2} m^{2}}-\left(-\frac{m e^{4}}{8 \varepsilon_{0}^{2} h^{2} n^{2}}\right)\)
= \(\frac{m e^{4}}{8 \varepsilon_{0}^{2} h^{2}}\left(\frac{1}{n^{2}}-\frac{1}{m^{2}}\right)\)
This energy is emitted in the form of a quantum of radiation (photon) with energy hv, where V is the frequency of the radiation.
∴ Em – En = hv
∴ v = \(\frac{E_{m}-E_{n}}{h}=\frac{m e^{4}}{8 \varepsilon_{0}^{2} h^{3}}\left(\frac{1}{n^{2}}-\frac{1}{m^{2}}\right)\)
The wavelength of the radiation is λ = \(\frac{c}{v^{\prime}}\)
where c is the speed of radiation in free space.
The wave number, \(\bar{v}=\frac{1}{\lambda}=\frac{v}{c}\)
\(\bar{v}=\frac{1}{\lambda}=\frac{m e^{4}}{8 \varepsilon_{0}^{2} h^{3} c}\left(\frac{1}{n^{2}}-\frac{1}{m^{2}}\right)=R\left(\frac{1}{n^{2}}-\frac{1}{m^{2}}\right)\)
where \(R\left(=\frac{m e^{4}}{8 \varepsilon_{0}^{2} h^{3} c}\right)\) is a constant called the Ryd berg constant.

This expression gives the wave number of the radiation emitted and hence that of a line in hydrogen spectrum.

For the Lyman series, n = 1,m = 2, 3, 4, ………… ∞
∴ \(\frac{1}{\lambda_{\mathrm{L}}}=R\left(\frac{1}{1^{2}}-\frac{1}{m^{2}}\right)\) and for the shortest wavelength line m this series, \(\frac{1}{\lambda_{\mathrm{Ls}}}=R\left(\frac{1}{1^{2}}\right)\) as m = ∞.
For the Balmer series, n = 2, m = 3, 4, 5, … ∞.
∴ \(\frac{1}{\lambda_{\mathrm{B}}}=R\left(\frac{1}{4}-\frac{1}{m^{2}}\right)\) and for the shortest wavelength line in this series, \(\frac{1}{\lambda_{\mathrm{Bs}}}=R\left(\frac{1}{4}\right)\) as m = ∞
[Note: Johannes Rydberg (1854—1919), Swedish spectroscopist, studied atomic emission spectra and introduced the idea of wave number. The empirical formula \(\bar{v}=\frac{1}{\lambda}=R\left(\frac{1}{n^{2}}-\frac{1}{m^{2}}\right)\) where m and n are simple integers, is due to Rydberg. When we consider the finite mass of the nucleus, we find that R varies slightly from element to element.]

Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atoms and Nuclei

Question 5.
Determine the maximum angular speed of an electron moving in a stable orbit around the nucleus of hydrogen atom.
Answer:
The radius of the ,ith Bohr orbit is
r = \(\frac{\varepsilon_{0} h^{2} n^{2}}{\pi m Z e^{2}}\) ………….. (1)
and the linear speed of an electron in this orbit is
ν = \(\frac{Z e^{2}}{2 \varepsilon_{0} n h}\) …………… (2)
where ε 0 permittivity of free space, h ≡ Planck’s constant, n ≡ principal quantum number, m ≡ electron mass, e electronic charge and Z ≡ atomic number of the atom.
Since angular speed ω = \(\frac{v}{r}\), then from Eqs. (1) and (2), we get,
ω = \(\frac{v}{r}=\frac{Z e^{2}}{2 \varepsilon_{0} n h} \cdot \frac{\pi m Z e^{2}}{\varepsilon_{0} h^{2} n^{2}}=\frac{\pi m Z^{2} e^{4}}{2 \varepsilon_{0}^{2} h^{3} n^{3}}\) ………………. (3)
which gives the required expression for the angular speed of an electron in the nth Bohr orbit.
From Eq. (3), the frequency of revolution of the electron,
f = \(\frac{\omega}{2 \pi}=\frac{1}{2 \pi} \times \frac{\pi m Z^{2} e^{4}}{2 \varepsilon_{0}^{2} h^{3} n^{3}}=\frac{m Z^{2} e^{4}}{4 \varepsilon_{0}^{2} h^{3} n^{3}}\) …………….. (4)
as required.
[Note : From Eq. (4), the period of revolution of the electron, T = \(\frac{1}{f}=\frac{4 \varepsilon_{0}^{2} h^{3} n^{3}}{m Z e^{4}}\). Hence, f ∝ \(\frac{1}{n^{3}}\) and T ∝ n3].

Obtain the formula for ω and continue as follows :
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 24
This is required quantity.

Question 6.
Determine the series limit of Balmer, Paschen and Bracket series, given the limit for Lyman series is 912 Å.
Answer:
Data : λL∞ = 912 Å
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 23
as n = 5 and m = ∞
From Eqs. (1) and (2), we get,
\(\frac{\lambda_{\mathrm{Pa} \infty}}{\lambda_{\mathrm{L} \infty}}=\frac{R_{\mathrm{H}}}{R_{\mathrm{H}} / 9}\) = 9
∴ λPa∞ = 9λL∞ = (9) (912) = 8202 Å
\(\frac{\lambda_{\mathrm{Pf} \infty}}{\lambda_{\mathrm{L} \infty}}=\frac{R_{\mathrm{H}}}{R_{\mathrm{H}} / 25}\) = 25
∴ λPf∞ = 25λL∞ = (25) (912) = 22800 Å
This is the series limit of the pfund series.

Question 7.
Describe alpha, beta and gamma decays and write down the formulae for the energies generated in each of these decays.
Answer:
(a) A radioactive transformation in which an α-particle is emitted is called α-decay.
In an α-decay, the atomic number of the nucleus decreases by 2 and the mass number decreases by 4.
Example : \({ }_{92}^{238} \mathrm{U} \rightarrow{ }_{90}^{234} \mathrm{Th}+{ }_{2}^{4} \alpha\)
Q = [mu – mTh – mα]c2

(b) A radioactive transformation in which a β-particle is emitted is called β-decay.
In a β-decay, the atomic number of the nucleus increases by 1 and the mass number remains unchanged.
Example : \({ }_{90}^{234} \mathrm{Th} \rightarrow{ }_{91}^{234} \mathrm{~Pa}+{ }_{-1}^{0} e+\bar{v}_{\mathrm{e}}\)
where \(\bar{v}_{\mathrm{e}}\) is the neutrino emitted to conserve the momentum, energy and spin.
Q = [mu – mTh – mα]c2
In a β+-decay, the atomic number of the nucleus decreases by 1 and the mass number remains unchanged.
Example : \(\begin{aligned}
&30 \\
&15
\end{aligned} P \rightarrow{ }_{14}^{30} \mathrm{Si}+{ }_{+1}^{0} e+v_{\mathrm{e}}\)
where ve is the neutrino emitted to conserve the momentum, energy and spin.
Q = [mP – mSi – me]c2
[Note : The term fi particle refers to the electron (or positron) emitted by a nucleus.]

A given nucleus does not emit α and β-particles simultaneously. However, on emission of α or β-particles, most nuclei are left in an excited state. A nucleus in an excited state emits a γ-ray photon in a transition to the lower energy state. Hence, α and β-particle emissions are often accompanied by γ-rays.
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 28

Question 8.
Explain what are nuclear fission and fusion giving an example of each. Write down the formulae for energy generated in each of these processes.
Answer:
Nuclear fission is a nuclear reaction in which a heavy nucleus of an atom, such as that of uranium, splits into two or more fragments of comparable size, either spontaneously or as a result of bombardment of a neutron on the nucleus (induced fission). It is followed by emission of two or three neutrons.
The mass of the original nucleus is more than the sum of the masses of the fragments. This mass difference is released as energy, which can be enormous as in the fission of 235U.
Nuclear fission was discovered by Lise Meitner, Otto Frisch, Otto Hahn and Fritz Strassmann in 1938.

The products of the fission of 235U by thermal neutrons are not unique. A variety of fission fragments are produced with mass number A ranging from about 72 to about 138, subject to the conservation of mass-energy, momentum, number of protons (Z) and number of neutrons (N). A few typical fission equations are
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 11

A type of nuclear reaction in which lighter atomic nuclei (of low atomic number) fuse to form a heavier nucleus (of higher atomic number) with the’ release of enormous amount of energy is called nuclear fusion.

Very high temperatures, of about 107 K to 108 K, are required to carry out nuclear fusion. Hence, such a reaction is also called a thermonuclear reaction.

Example : The D-T reaction, being used in experimental fusion reactors, fuses a deuteron and a triton nuclei at temperatures of about 108 K.
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 12
(2) The value of the energy released in the fusion of two deuteron nuclei and the temperature at which the reaction occurs mentioned in the textbook are probably misprints.]

Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atoms and Nuclei

Question 9.
Describe the principles of a nuclear reactor. What is the difference between a nuclear reactor and a nuclear bomb?
Answer:
In a nuclear reactor fuel rods are used to provide a suitable fissionable material such as \(\begin{gathered}
236 \\
92
\end{gathered}\)U. Control rods are used to start or stop the reactor. Moderators are used to slow down the fast neutrons ejected in a nuclear fission to the appropriate lower speeds. Material used as a coolant removes the energy released in the nuclear reaction by converting it into thermal energy for production of electricity.

In a nuclear reactor, a nuclear fission chain reaction is used in a controlled manner, while in a nuclear bomb, the nuclear fission chain reaction is not controlled, releasing tremendous energy in a very short time interval.
[Note : The first nuclear bomb (atomic bomb) was dropped on Hiroshima in Japan on 06 August 1945. The second bomb was dropped on Nagasaki in Japan on 9 August 1945.]

Question 10.
Calculate the binding energy of an alpha particle given its mass to be 4.00151 u.
Answer:
Data : M = 4.00151 u, = 1.00728 u,
mn = 1.00866 u, 1 u = 931.5 MeV/c2
The binding energy of an alpha particle
(Zmp + Nn -M)c2
=(2mp + 2mn -M)c2
= [(2)(1.00728u) + 2(1.00866 u) – 4.00151 u]c2
= (2.01456 + 2.01732 – 4.00151)(931.5) MeV
= 28.289655 MeV
= 28.289655 × 106 eV × 1.602 × 10-19 J
= 4.532002731 × 10-12 J

Question 11.
An electron in hydrogen atom stays in its second orbit for 10-8 s. How many revolutions will it make around the nucleus in that time?
Answer:
Data : z = 1, m = 9.1 × 10-31 kg, e = 1.6 × 10-19 C, ε0 = 8.85 × 10-12 C2 / N.m2, h = 6.63 × 10 -34 J.s, n = 2, t = 10-8 s
The periodic time of the electron in a hydrogen atom,
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 17
Let N be the number of revolutions made by the electron in time t. Then, t = NT.
∴ N = \(\frac{t}{T}=\frac{10^{-8}}{3.898 \times 10^{-16}}\) = 2.565 × 7

Question 12.
Determine the binding energy per nucleon of the americium isotope \(_{95}^{244} \mathrm{Am}\) , given the mass of \({ }_{95}^{244} \mathrm{Am}\) to be 244.06428 u.
Answer:
Data : Z = 95, N = 244  – 95 = 149,
mp = 1.00728 u, mn = 1.00866 u,
M = 244.06428 u, 1 u = 931.5 MeV/c2
The binding energy per nucleon,
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 18
= 7.3209 MeV/nucleon

Question 13.
Calculate the energy released in the nuclear reaction \({ }_{3}^{7} \mathrm{Li}\) + p → 2α given mass of \({ }_{3}^{7} \mathrm{Li}\) atom and of helium atom to be 7.016 u and 4.0026 u respectively.
Answer:
Data: M1 (\({ }_{3}^{7} \mathrm{Li}\) Li atom)= 7.016 u, M2 (He atom)
= 4.0026 u, mp = 1.00728 u, 1 u = 931.5 MeV/c2
∆M = M1 + mp – 2M2
= [7.016 + 1.00728 – 2(4.0026)]u
= 0.01808 u = (0.01808)(931.5) MeV/c2
= 16.84152 MeV/c2
Therefore, the energy released in the nuclear reaction = (∆M) c2 = 16.84152 MeV

Question 14.
Complete the following equations describing nuclear decays.
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 27
Answer:
(a) \({ }_{88}^{226} \mathrm{Ra} \rightarrow{ }_{2}^{4} \alpha+{ }_{86}^{222} \mathrm{Em}\)
Em (Emanation) ≡ Rn (Radon)
Here, α particle is emitted and radon is formed.

(b) \({ }_{8}^{19} \mathrm{O} \rightarrow e^{-}+{ }_{9}^{19} \mathrm{~F}\)
Here, e ≡ \({ }_{-1}^{0} \beta\) is emitted and fluorine is formed.

(c) \(\underset{90}{228} \mathrm{Th} \rightarrow{ }_{2}^{4} \alpha+{ }_{88}^{224} \mathrm{Ra}\)
Here, α particle is emitted and radium is formed.

(d) \({ }_{7}^{12} \mathrm{~N} \rightarrow{ }_{6}^{12} \mathrm{C}+{ }_{1}^{0} \beta\)
\({ }_{1}^{0} \beta\) is e+ (positron)
Here, β+ is emItted and carbon is formed.

Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atoms and Nuclei

Question 15.
Calculate the energy released in the following reactions, given the masses to be \({ }_{88}^{223} \mathrm{Ra}\) : 223.0185 u, \({ }_{82}^{209} \mathrm{~Pb}\) : 208.9811, \({ }_{6}^{14} C\) : 14.00324, \({ }_{92}^{236} \mathrm{U}\) : 236.0456, \({ }_{56}^{140} \mathrm{Ba}\) : 139.9106, \({ }_{36}^{94} \mathrm{Kr}\) : 93.9341, \({ }_{6}^{11} \mathrm{C}\) : 11.01143, \({ }_{5}^{11} \mathrm{~B}\) : 11.0093. Ignore neutrino energy.
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 26
Answer:
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 13
(a) \({ }_{88}^{223} \mathrm{Ra} \rightarrow{ }_{82}^{209} \mathrm{~Pb}+{ }_{6}^{14} \mathrm{C}\)
The energy released in this reaction = (∆M) c2
= [223.0185 – (208.9811 + 14.00324)j(931 .5) MeV
= 31.820004 MeV

(b) \({ }_{92}^{236} \mathrm{U} \rightarrow{ }_{56}^{140} \mathrm{Ba}+{ }_{36}^{94} \mathrm{Kr}+2 \mathrm{n}\)
The energy released in this reaction =
(∆M) c2 = [236.0456 – (139.9106 + 93.9341 + (2)(1 .00866)1(93 1 .5)MeV
= 171.00477 MeV

(c) \({ }_{6}^{11} \cdot \mathrm{C} \rightarrow{ }_{5}^{11} \mathrm{~B}+e^{+}\) + neutrino
The energy released in this reaction = (∆M) c2
= [11.01143 – (11.0093 + O.00055)](931.5) MeV
= 1.47177 MeV

Question 16.
Sample of carbon obtained from any living organism has a decay rate of 15.3 decays per gram per minute. A sample of carbon obtained from very old charcoal shows a disintegration rate of 12.3 disintegrations per gram per minute. Determine the age of the old sample given the decay constant of carbon to be 3.839 × 10-12 per second.
Answer:
Data: 15.3 decays per gram per minute (living organism), 12.3 disintegrations per gram per minute (very old charcoal). Hence, we have,
\(\frac{A(t)}{A_{0}}=\frac{12.3}{15.3}\), λ = 3.839 × 10-12 per second
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 19

Question 17.
The half-life of \({ }_{38}^{90} \mathrm{Sr}\) is 28 years. Determine the disintegration rate of its 5 mg sample.
Answer:
Data: T1/2 = 28 years = 28 × 3.156 × 107 s
=8.837 × 108s, M = 5 mg =5 × 10-3g
90 grams of \({ }_{38}^{90} \mathrm{Sr}\) contain 6.02 × 1023 atoms
Hence, here, N = \(\frac{\left(6.02 \times 10^{23}\right)\left(5 \times 10^{-3}\right)}{90}\)
= 3.344 × 1019 atoms
∴ The disintegration rate = Nλ = N\(\frac{0.693}{T_{1 / 2}}\)
= \(\frac{\left(3.344 \times 10^{19}\right)(0.693)}{8.837 \times 10^{8}}\)
= 2.622 × 1010 disintegrations per second

Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atoms and Nuclei

Question 18.
What is the amount of \({ }_{27}^{60} \mathrm{Co}\) necessary to provide a radioactive source of strength 10.0 mCi, its half-life being 5.3 years?
Answer:
Data : Activity = 10.0 mCi = 10.0 × 10-3 Ci
= (10.0 × 10-3)(3.7 × 1010) dis/s = 3.7 × 108 dis/s
T1/2 = 5.3 years = (5.3)(3.156 × 107) s
= 1.673 × 108 s
Decay constant, λ = \(\frac{0.693}{T_{1 / 2}}=\frac{0.693}{1.673 \times 10^{8}} \mathrm{~s}^{-1}\)
=4.142 × 10-9 s-1
Activity = Nλ
∴ N = \(\frac{\text { activity }}{\lambda}=\frac{3.7 \times 10^{8}}{4.142 \times 10^{-9}} \text { atoms }\)
= 8.933 × 1016 atoms
=60 grams of \({ }_{27}^{60} \mathrm{Co}\) contain 6.02 × 1023 atoms
Mass of 8.933 × 1016 atoms of \({ }_{27}^{60} \mathrm{Co}\)
= \(\frac{8.933 \times 10^{16}}{6.02 \times 10^{23}} \times 60 \mathrm{~g}\)
= 8.903 × 10-6 g = 8.903 µg
This is the required amount.

Question 19.
Disintegration rate of a sample is 1010 per hour at 20 hrs from the start. It reduces to 6.3 × 109 per hour after 30 hours. Calculate its half life and the initial number of radioactive atoms in the sample.
Answer:
Data : A (t1) = 1010 per hour, where t1 = 20 h,
A (t2) = 6.3 × 109 per hour, where t2 = 30 h
A(t) = A0e-λt ∴ A(t1) = A0e-λt1 and A(t2) = Aoe-λt2
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 20
∴ 1.587 e10λ ∴ 10λ =2.3031og10(1.587)
∴ λ = (0.2303)(0.2007) = 0.04622 per hour
The half life of the material, T1/2 = \(\frac{0.693}{\lambda}=\frac{0.693}{0.04622}\)
= 14.99 hours
Now, A0 = A (t1)eλt1 = 1010e(0.04622)(20)
= 1010 e0.9244
Let x = e0.9244 ∴ 2.3031og10x = 0.9244
∴ 1og10x = \(\frac{0.9244}{2.303}\) = 0.4014
∴ x = antilog 0.4014 = 2.52
∴ A0 = 2.52 × 1010 per hour
Now A0 = N0λ ∴ N0 = \(\frac{A_{0}}{\lambda}=\frac{2.52 \times 10^{10}}{0.04622}\)
= 5.452 × 1011
This is the initial number of radioactive atoms in the sample.

Question 20.
The isotope 57Co decays by electron capture to 57Fe with a half-life of 272 d. The 57Fe nucleus is produced in an excited state, and it almost instantaneously emits gamma rays.
(a) Find the mean lifetime and decay constant for 57Co.
(b) If the activity of a radiation source 57Co is 2.0 µCi now, how many 57Co nuclei does the source contain?
(c) What will be the activity after one year?
Answer:
Data: T1/2 = 272d = 272 × 24 × 60 × 60s = 2.35 × 107 s,
A0 = 2.0uCi = 2.0 × 10-6 × 3.7 × 1010
= 7.4 × 104 dis/s
t = 1 year = 3.156 × 107 s
(a) T1/2 = \(\frac{0.693}{\lambda}\) = 0.693 τ ∴ The mean lifetime for
57Co = τ = \(\frac{T_{1 / 2}}{0.693}=\frac{2.35 \times 10^{7}}{0.693}\) = 3391 × 107 s
The decay constant for 57Co = λ = \(\frac{1}{\tau}\)
= \(\frac{1}{3.391 \times 10^{7} \mathrm{~s}}\)
= 2949 × 10-8 s-1

(b)A0 = N0A ∴ N0 = \(\frac{A_{0}}{\lambda}\) = A0τ
= (7.4 × 104)(3.391 × 107)
= 2.509 × 1012 nuclei
This is the required number.

(c) A(t) = A0e-λt = 2e-(2.949 × 10-8)(3.156 × 107)
= 2e-0.9307 = 2 / e0.9307
Let x = e0.9307 ∴ Iogex = 0.9307
∴ 2.303log10x = 0.9307
∴ log10x = \(\frac{0.9307}{2.303}\) = 0.4041
∴ x = antilog 0.4041 = 2.536
∴ A (t) = \(\frac{2}{2.536}\) μCi = 0.7886 μCi

Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atoms and Nuclei

Question 21.
A source contains two species of phosphorous nuclei, \({ }_{15}^{32} \mathrm{P}\) (T1/2 = 14.3 d) and \({ }_{15}^{32} \mathrm{P}\) (T1/2 = 25.3 d). At time t = 0, 90% of the decays are from \({ }_{15}^{32} \mathrm{P}\) . How much time has to elapse for only 15% of the decays to be from \({ }_{15}^{32} \mathrm{P}\) ?
Answer:
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 21
∴ (0.04846 – 0.02739) t = 2.303 (2.1847 – 0.4771)
∴ t = \(\frac{(2.303)(1.7076)}{0.02107}\) = 186.6 days
This is the required time.

Question 22.
Before the year 1900 the activity per unit mass of atmospheric carbon due to the presence of 14C averaged about 0.255 Bq per gram of carbon. (a) What fraction of carbon atoms were 14C? (b) An archaeological specimen containing 500 mg of carbon, shows 174 decays in one hour. What is the age of the specimen, assuming that its activity per unit mass of carbon when the specimen died was equal to the average value of the air? Half-life of 14C is 5730 years?
Answer:
0.693
Data: T1/2 = 5730y ∴ λ = \(\frac{0.693}{5730 \times 3.156 \times 10^{7}} \mathrm{~s}^{-1}\)
= 3.832 × 10-12 s-1, A = 0.255 Bq per gram of carbon in part (a); M = 500 mg = 500 × 10-3 g,
174 decays in one hour \(\frac{174}{3600}\) dis/s = 0.04833 dis/s in part (b) (per 500 mg].

(a) A = Nλ ∴ N = \(\frac{A}{\lambda}=\frac{0.255}{3.832 \times 10^{-12}}\)
= 6.654 × 1010
Number of atoms in 1 g of carbon = \(\frac{6.02 \times 10^{23}}{12}\)
=5.017 × 1022
\(\frac{5.017 \times 10^{22}}{6.654 \times 10^{10}}\) = 0.7539 × 1012
∴ 1 14C atom per 0.7539 × 1012 atoms of carbon
∴ 4 14C atoms per 3 × 1012 atoms of carbon

(b) Present activity per gram = \(\)
= 0.09666 dis/s per gram
A0 = 0.255 dis/s per gram
Now, A(t) = A0e-λt
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 22
This is the required quantity.

Question 23.
How much mass of 235U is required to undergo fission each day to provide 3000 MW of thermal power? Average energy per fission is 202.79 MeV
Answer:
Data: Power = 3000 MW = 3 × 109 J/s
∴ Energy to be produced each day
=3 × 109 × 86400 J each day
= 2.592 × 1014 J each day
Energy per fission = 202.79 MeV
= 202.79 × 106 × 1.6 × 10-19 J = 3,245 × 10-11 J
∴ Number of fissions each day
= \(\frac{2.592 \times 10^{14}}{3.245 \times 10^{-11}}\) × 1024 each day
0.235 kg of 235U contains 6.02 × 1023 atoms
7988 x 1024
∴ M = \(\left(\frac{7.988 \times 10^{24}}{6.02 \times 10^{23}}\right)\) (o.235) = 3.118 kg
This is the required quantity.

Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atoms and Nuclei

Question 24.
In a periodic table the average atomic mass of magnesium is given as 24.312 u. The average value is based on their relative natural abundance on earth. The three isotopes and their masses are \({ }_{12}^{24} \mathrm{Mg}\) (23.98504 u), \({ }_{12}^{25} \mathrm{Mg}\) (24.98584 u) and \({ }_{12}^{26} \mathrm{Mg}\) (25.98259 u). The natural abundance of \({ }_{12}^{24} \mathrm{Mg}\) is 78.99% by mass. Calculate the abundances of other two isotopes.
[Answer: 9.3% and 11.7%]
Answer:
Data : Average atomic mass of magnesium =
Maharashtra Board Class 12 Physics Solutions Chapter 15 Structure of Atom and Nuclei 25

12th Physics Digest Chapter 15 Structure of Atoms and Nuclei Intext Questions and Answers

Use your brainpower (Textbook Page No. 336)

Question 1.
Why don’t heavy nuclei decay by emitting a single proton or a single neutron?
Answer:
According to quantum mechanics, the probability for these emissions is extremely low.

Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter

Balbharti Maharashtra State Board 12th Physics Textbook Solutions Chapter 14 Dual Nature of Radiation and Matter Textbook Exercise Questions and Answers.

Maharashtra State Board 12th Physics Solutions Chapter 14 Dual Nature of Radiation and Matter

1. Choose the correct answer.

i) A photocell is used to automatically switch on the street lights in the evening when the sunlight is low in intensity. Thus it has to work with visible light. The material of the cathode of the photocell is
(A) zinc
(B) aluminum
(C) nickel
(D) potassium
Answer:
(D) potassium

ii) Polychromatic (containing many different frequencies) radiation is used in an experiment on the photoelectric effect. The stopping potential
(A) will depend on the average wavelength
(B) will depend on the longest wavelength
(C) will depend on the shortest wavelength
(D) does not depend on the wavelength
Answer:
(C) will depend on the shortest wavelength

Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter

iii) An electron, a proton, an α-particle and a hydrogen atom are moving with the same kinetic energy. The associated de Broglie wavelength will be longest for
(A) electron
(B) proton
(C) α-particle
(D) hydrogen atom
Answer:
(A) electron

iv) If NRed and NBlue are the number of photons emitted by the respective sources of equal power and equal dimensions in unit time, then
(A) NRed < NBlue
(B) NRed = NBlue
(C) NRed > NBlue
(D) NRed ≈ NBlue
Answer:
(C) NRed > NBlue

v) The equation E = pc is valid
(A) for all sub-atomic particles
(B) is valid for an electron but not for a photon
(C) is valid for a photon but not for an electron
(D) is valid for both an electron and a photon
Answer:
(C) is valid for a photon but not for an electron

2. Answer in brief.

i) What is photoelectric effect?
Answer:
The phenomenon of emission of electrons from a metal surface when electromagnetic radiation of appropriate frequency is incident on it is known as photoelectric effect.

ii) Can microwaves be used in the experiment on photoelectric effect?
Answer:
No

iii) Is it always possible to see photoelectric effect with red light?
Answer:
No

iv) Using the values of work function given in Table 14.1, tell which metal will require the highest frequency of incident radiation to generate photocurrent.
Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter 2
Answer:
Gold.
[ Note : W0 = hv0, where h is Planck’s constant. The larger the work function (W0), the higher is the threshold frequency (v0). ]

v) What do you understand by the term wave-particle duality? Where does it apply?
Answer:
Depending upon experimental conditions or structure of matter, electromagnetic radiation and material particles exhibit wave nature or particle nature. This is known as wave-particle duality.

It applies to all phenomena. The wave nature and particle nature are liked by the de Broglie relation λ = h/p, where λ is the wavelength of matter waves, also called de Broglie waves / Schrodinger waves, p is the magnitude of the momentum of a particle or quantum of radiation and h is the universal constant called Planck’s constant.

[Note : It is the smallness of h (= 6.63 × 10-34 J∙s) that is very significant in wave-particle duality.]

Question 3.
Explain the inverse linear dependence of stopping potential on the incident wavelength in a photoelectric effect experiment.
Answer:
We have V0e = \(\frac{h c}{\lambda}\) – Φ, where V0 is the stopping potential, e is the magnitude of the charge on the electron, h is Planck’s constant, c is the speed of light in free space, λ is the wavelength of the electromagnetic radiation incident on a metal surface and Φ is the work function for the metal, h, c and e are constants. Φ is constant for a particular metal.
Hence, it follows that as \(\frac{1}{\lambda}\) increases, V0 increases.
The plot of V0 verses \(\frac{1}{\lambda}\) is linear. This is because the energy associated with a quantum of radiation (photon) is directly proportional to the frequency of radiation and hence inversely proportional to the wavelength of radiation.

Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter

Question 4.
It is observed in an experiment on photoelectric effect that an increase in the intensity of the incident radiation does not change the maximum kinetic energy of the electrons. Where does the extra energy of the incident radiation go? Is it lost? State your answer with explanatory reasoning.
Answer:
When electromagnetic radiation with frequency greater than the threshold frequency is incident on a metal surface, there is emission of electrons. It is observed that not every incident photon is effective in liberating an electron. In fact, the number of electrons emitted per second is far less than the number of photons incident per second. The photons that are not effective in liberation of electrons are reflected (or scattered) or absorbed resulting in rise in the temperature of the metal surface. The maximum kinetic energy of a photoelectron depends on the frequency of the incident radiation and the threshold frequency for the metal. It has nothing to do with the intensity of the incident radiation. The increase in intensity results in increase in the number of electrons emitted per second.

Question 5.
Explain what do you understand by the de Broglie wavelength of an electron. Will an electron at rest have an associated de Broglie wavelength? Justify your answer.
Answer:
Under certain conditions an electron exhibits wave nature. Waves associated with a moving electron are called matter waves or de Broglie waves or- Schrodinger waves. The de Broglie wavelength of these matter waves is given by X = h/p, where h is Planck’s constant and p is the magnitude of the momentum of the electron.

If an electron is at rest, its momentum would be zero, and hence the corresponding de Broglie wavelength would be infinite indicating absence of a matter wave. However, according to quantum mechanics/wave mechanics, this is not possible.

Question 6.
State the importance of Davisson and Germer experiment.
Answer:
The Davisson and Germer experiment directly indicated the wave nature of material particles and quantitatively verified the de Broglie hypothesis for the existence of matter waves.

[Note : The aim of the experiment was not to verify wave like properties of electrons. The realisation came only later, an example of serendipity.]

[Note : Like X-rays, electrons exhibit wave nature under suitable conditions. When the wavelength of matter waves associated with moving electrons is comparable to the inter-atomic spacing in a crystal, electrons show diffraction effects. In 1927, Sir George Thomson (1892 – 1975), British physicist, with his student Alex Reid, observed electron diffraction with a metal foil. It is found that neutrons, atoms, molecules, Œ-particles, etc. show wave nature under suitable conditions.]

Question 7.
What will be the energy of each photon in monochromatic light of frequency 5 × 1014 Hz?
Answer:
Data: y = 5 × 1014 Hz, h = 6.63 × 10-34 Js,
1eV=1.6 × 10-19 J
The energy of each photon,
E = hv = (6.63 × 10-34 J.s)(5 × 1014 Hz)
= 3.315 × 10-19 J
= \(\frac{3.315 \times 10^{-19} \mathrm{~J}}{1.6 \times 10^{-19} \mathrm{~J} / \mathrm{eV}}\) = 2.072 eV

Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter

Question 8.
Observations from an experiment on photoelectric effect for the stopping potential by varying the incident frequency were plotted. The slope of the linear curve was found to be approximately 4.1 × 10-15 V s. Given that the charge of an electron is 1.6 × 10-19 C, find the value of the Planck’s constant h.
Answer:
Data : Slope=4.1 × 10-15 V∙s, e = 1.6 ×10-19 C
V0e = hv – hv0
∴ V0 =\(\left(\frac{h}{e}\right) v-\left(\frac{h v_{0}}{e}\right)\)
∴ Slope = \(\frac{h}{e}\) ∴ Planck’s constant,
h = (slope) (e)=(4.1 × 10-15 V∙s)(1.6 × 10-19 C)
= 6.56 × 10 34J. (as 1 V = \(\frac{1 \mathrm{~J}}{1 \mathrm{C}}\))

Question 9.
The threshold wavelength of tungsten is 2.76 × 10-5 cm. (a) Explain why no photoelectrons are emitted when the wavelength is more than 2.76 × 10-5 cm.(b) What will be the maximum kinetic energy of electrons ejected in each of the following cases
(i) if ultraviolet radiation of wavelength λ = 1.80 × 10-5 cm and
(ii) radiation of frequency 4 × 1015 Hz is made incident on the tungsten surface.
Answer:
Data: λ0 = 2.76 × 10-5 cm = 2.76 × 10-7 m,
λ =1.80 × 10-5 cm = 1.80 × 10-7 m,
v = 4 × 1015 Hz, h = 6.63 × 10-34 J∙s,c = 3 × 108 m/s
(a) For λ > λ0, v < v0 (threshold frequency).
∴ hv < hv0. Hence, no photoelectrons are emitted.

(b) Maximum kinetic energy of electrons ejected
= hc\(\left(\frac{1}{\lambda}-\frac{1}{\lambda_{0}}\right)\)
=(6.63 × 10-34)(3 × 108)\(\left(\frac{10^{7}}{1.8}-\frac{10^{7}}{2.76}\right)\)J
= (6.63 × 10-19)(0.5555 – 0.3623)
= (6.63)(0.1932 × 10-19)J = 1.281 × 10-19 J
= \(\frac{1.281 \times 10^{-19} \mathrm{~J}}{1.6 \times 10^{-19} \mathrm{~J} / \mathrm{eV}}\) = 0.8006 eV

(c) Maximum kinetic energy of electrons ejected
= hv – \(\frac{h c}{\lambda_{0}}\)
=(6.63 × 10-34(4 × 1015) – \(\frac{\left(6.63 \times 10^{-34}\right)\left(3 \times 10^{8}\right)}{2.76 \times 10^{-7}}\)
= 26.52 × 10-19 – 7.207 × 10-19
= 19.313 × 10-19 J
= \(\frac{19.313 \times 10^{-19} \mathrm{~J}}{1.6 \times 10^{-19} \mathrm{~J} / \mathrm{eV}}\) = 12.07eV

Question 10.
Photocurrent recorded in the micro ammeter in an experimental set-up of photoelectric effect vanishes when the retarding potential is more than 0.8 V if the wavelength of incident radiation is 4950 Å. If the source of incident radiation is changed, the stopping potential turns out to be 1.2 V. Find the work function of the cathode material and the wavelength of the second source.
Answer:
Data: V0 = 0.8 V, λ = 4950 Å = 4.950 × 10-7 m,
V0‘ = 1.2V, h = 6.63 × 10-34 J∙s, c = 3 × 108 m/s.
(i) V0e = hv – Φ = \(\frac{h c}{\lambda}\) – Φ
∴ The work function of the cathode material,
Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter 3

Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter

Question 11.
Radiation of wavelength 4500 Å is incident on a metal having work function 2.0 eV. Due to the presence of a magnetic field B, the most energetic photoelectrons emitted in a direction perpendicular to the field move along a circular path of radius 20 cm. What is the value of the magnetic field B?
Answer:
Data: λ = 4500Å = 4.5 × 10-7 m,
Φ = 2.0eV = 2 × 1.6 × 10-19 J = 3.2 × 10-19 J,
h = 6.63 × 10-34 J∙s, c = 3 × 108 m/s,
r = 20 cm = 0.2 m, e= 1.6 × 10-19 C,
m = 9.1 × 10-31kg
Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter 4
This is the value of the magnetic field.

Question 12.
Given the following data for incident wavelength and the stopping potential obtained from an experiment on photoelectric effect, estimate the value of Planck’s constant and the work function of the cathode material. What is the threshold frequency and corresponding wavelength? What is the most likely metal used for emitter?
Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter 1
Answer:
Data: λ = 2536Å = 2.536 × 10-7 m,
λ’ = 3650Å = 3.650 ×10-7 m, V0 = 1.95V, V0‘ = 0.5V,
c = 3 × 108 mIs, e = 1.6 × 10-19 C

(i) V0e = \(\frac{h c}{\lambda}\) – Φ and V0‘e =\(\frac{h c}{\lambda^{\prime}}\) – Φ
∴ (V0 – V0‘)e = hc\(\left(\frac{1}{\lambda}-\frac{1}{\lambda^{\prime}}\right)\)
∴ (1.95 – 0.5(1.6 × 10-19)
= h (3 × 108\(\left(\frac{10^{7}}{2.536}-\frac{10^{7}}{3.650}\right)\)
∴ 2.32 × 10-19 = h(3 × 1015)(0.3943 – 0.2740)
∴ h = \(\frac{2.32 \times 10^{-34}}{0.3609}\) = 6.428 × 10-34 J∙s
This is the value of Planck’s constant.

(ii) Φ = \(\frac{h c}{\lambda}\) – V0e
Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter 5
This is the work function of the cathode material.

(iii) Φ = hv0
∴ The threshold frequency, v0 = \(\frac{\phi}{h}\)
= \(\frac{4.484 \times 10^{-19} \mathrm{~J}}{6.428 \times 10^{-34} \mathrm{~J} \cdot \mathrm{s}}\) = 6.976 × 1014 Hz

(iv) v0 = \(\frac{c}{\lambda_{\mathrm{o}}}\) ∴ The threshold frequency, λ0 = \(\frac{c}{v_{\mathrm{o}}}\)
= \(\frac{3 \times 10^{8}}{6.976 \times 10^{14}}\) = 4.300 × 10-7 m = 4300 Å

(v) The most likely metal used for emitter : calcium

Question 13.
Calculate the wavelength associated with an electron, its momentum and speed
(a) when it is accelerated through a potential of 54 V
Answer:
Data : V = 54 V, m = 9.1 × 10-31 kg, e
e = 1.6 × 10-19 C, h = 6.63 × 10-34 J.s, KE = 150 eV
(a) We assume that the electron is initially at rest.
∴ Ve = \(\frac{1}{2}\)mv2
∴ v = \(\sqrt{\frac{2 V e}{m}}=\sqrt{\frac{2(54)\left(1.6 \times 10^{-19}\right)}{9.1 \times 10^{-31}}}\)
= \(\sqrt{19 \times 10^{12}}\) = 4.359 × 106 m/5
This is the speed of the electron.
p = mv = (9.1× 10-31)(4.359 × 106)
= 3.967 × 10-24 kg∙m/s
This is the momentum of the electron. The wavelength associated with the electron,
λ = \(\frac{h}{p}=\frac{6.63 \times 10^{-34}}{3.967 \times 10^{-24}}\) = 1.671 × 10-10 m
= 1.671 Å = 0.1671 nm

(b) when it is moving with kinetic energy of 150 eV.
Answer:
As KE ∝ \(\sqrt{V}\), we get
\(\frac{v^{\prime}}{v}=\sqrt{\frac{150}{54}}\) = 1.666
∴ v’ = 1.666v = (1.666)(4.356 × 106)
= 7.262 × 106 m/s
This is the speed of the electron.
p’ = mv’’=(9.1 × 10-31)(7.262 × 106)
= 6.608 × 10-24 kg∙m/s
This is the momentum of the electron. The
wavelength associated with the electron,
λ = \(\frac{h}{p^{\prime}}=\frac{6.63 \times 10^{-34}}{6.608 \times 10^{-24}} \) = 1.003 × 10-10 m
= 1.003 Å = 0.1003 nm

Question 14.
The de Broglie wavelengths associated with an electron and a proton are same. What will be the ratio of
(i) their momenta
(ii) their kinetic energies?
Answer:
Data : λ (electron) = λ (proton)
m (proton) = 1836 m (electron)
(i) λ = \(\frac{h}{p}\) As λ (electron) = λ (proton),
\(\frac{p(\text { electron })}{p \text { (proton) }}\) = 1, where p denotes the magnitude of momentum.

(ii) Assuming v «c,
KE = \(\frac{1}{2}\)mv2 = \(\frac{1}{2} \frac{m^{2} v^{2}}{m}=\frac{p^{2}}{2 m}\)
∴ \(\frac{\mathrm{KE} \text { (electron) }}{\mathrm{KE} \text { (proton) }}=\frac{m \text { (proton) }}{m \text { (electron) }}\) = 1836 as p is the same for the electron and the proton.

Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter

Question 15.
Two particles have the same de Broglie wavelength and one is moving four times as fast as the other. If the slower particle
is an α-particle, what are the possibilities for the other particle?
Answer:
Data : λ1 = λ2, v1 = 4v2
λ = \(\frac{h}{p}=\frac{h}{m v}\) ∴ λ1 = \(\frac{h}{m_{1} v_{1}}\), λ2 = \(\frac{h}{m_{2} v_{2}}\)
∴ m1 = m2 \(\frac{v_{2}}{v_{1}}\) = m2\(\left(\frac{1}{4}\right)=\frac{m_{2}}{4}\)
As particle 2 is the a-particle, particle 1 (having the mass \(\frac{1}{4}\) times that of the a-particle) may be a proton or neutron.

Question 16.
What is the speed of a proton having de Broglie wavelength of 0.08 Å?
Answer:
Data : λ = 0.08 Å = 8 × 10-12m, h = 6.63 × 10-34 J∙s, m = 1.672 × 10-27 kg
λ = \(\frac{h}{m v}\) ∴ v = \(\frac{h}{\lambda m}=\frac{6.63 \times 10^{-34}}{\left(8 \times 10^{-12}\right)\left(1.672 \times 10^{-27}\right)}\)
∴ v = 4.957 × 104 m/s
This is the speed of the proton.

Question 17.
In nuclear reactors, neutrons travel with energies of 5 × 10-21 J. Find their speed and wavelength.
Answer:
Data : KE = 5 × 10-21 J, m = 1.675 × 10-27 kg, h = 6.63 × 10-34 J∙s
KE = \(\frac{1}{2}\) mv2 = 5 × 10-21 J
∴ v = \(\sqrt{\frac{2 \mathrm{KE}}{m}}=\sqrt{\frac{(2)\left(5 \times 10^{-21}\right)}{1.675 \times 10^{-27}}}\)
= 2.443 × 103 m/s
This is the speed of the neutrons. The de Broglie wavelength associated with the neutron,
λ = \(\frac{h}{m v}=\frac{6.63 \times 10^{-34}}{\left(1.675 \times 10^{-27}\right)\left(2.443 \times 10^{3}\right)}\)
= 1.620 × 10-10 m = 1.620 Å

Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter

Question 18.
Find the ratio of the de Broglie wavelengths of an electron and a proton when both are moving with the (a) same speed, (b) same energy and (c) same momentum? State which of the two will have the longer wavelength in each case?
Answer:
Data: mp = 1836 me
Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter 6

12th Physics Digest Chapter 14 Dual Nature of Radiation and Matter Intext Questions and Answers

Remember This (Textbook Page No. 316)

Question 1.
Is a solar cell a photocell?
Answer:
Yes

Remember This (Textbook Page No. 317)

Question 1.
Can you estimate the de Broglie wavelength of the Earth?
Answer:
Taking the mass of the Earth as (about) 6 × 1024 kg, and the linear speed of the earth around the Sun as (about) 3 × 104 m/s, we have, the de Brogue wave length of the Earth as
λ = \(\frac{h}{p}=\frac{h}{M v}=\frac{6.63 \times 10^{-34} \mathrm{~J} \cdot \mathrm{s}}{\left(6 \times 10^{24} \mathrm{~kg}\right)\left(3 \times 10^{4} \mathrm{~m} / \mathrm{s}\right)}\)
= 3.683 × 10-63 m (extremely small)

Question 2.
The expression p = E/c defines the momentum of a photon. Can this expression be used for the momentum of an electron or proton?
Answer:
No

Remember This (Textbook Page No. 319)

Diffraction results described above can be produced in the laboratory using an electron diffraction tube as shown in the figure. It has a filament which on heating produces electrons. This filament acts as a cathode. Electrons are accelerated to quite high speeds by creating large potential difference between the cathode and a positive electrode. On its way, the beam of electrons comes across a thin sheet of
Maharashtra Board Class 12 Physics Solutions Chapter 14 Dual Nature of Radiation and Matter 7
graphite. The electrons are diffracted by the atomic layers in the graphite and form diffraction rings on the phosphor screen. By changing the voltage between the cathode and anode, the energy, and therefore the speed, of the electrons can be changed. This will change the wavelength of the electrons and a change will be seen in the diffraction pattern. By increasing the voltage, the radius of the diffraction rings will decrease. Try to explain why?
Answer:
When the accelerating voltage is increased, the kinetic energy and hence the momentum of the electron increases. This decreases the de Brogue wavelength of the electron. Hence, the radius of the diffraction ring decreases.

Remember This (Textbook Page No. 320)

Question 1.
On what scale or under which circumstances are the wave nature of matter apparent?
Answer:
When the de Brogue wavelength of a particle such as an electron, atom, or molecule is comparable to the interatomic spacing in a crystal, the wave nature of matter is revealed in diffraction/interference.

Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits

Balbharti Maharashtra State Board 12th Physics Textbook Solutions Chapter 13 AC Circuits Textbook Exercise Questions and Answers.

Maharashtra State Board 12th Physics Solutions Chapter 13 AC Circuits

1. Choose the correct option.

i) If the RMS current in a 50 Hz AC circuit is 5A, the value of the current \(\frac{1}{300}\) seconds after its value becomes zero is
(A) 5\(\sqrt {2}\) A
(B) 5\(\sqrt{\frac{3}{2}}\) A
(C) \(\frac{5}{6}\) A
(D) \(\frac{5}{\sqrt{2}}\) A
Answer:
(B) 5\(\sqrt{\frac{3}{2}}\) A

ii) A resistor of 500 Ω and an inductance of 0.5 H are in series with an AC source which is given by V = 100 \(\sqrt {2}\) sin (1000t). The power factor of the combination
(A) \(\frac{1}{\sqrt{2}}\)
(B) \(\frac{1}{\sqrt{3}}\)
(C) 0.5
(D) 0.6
Answer:
(A) \(\frac{1}{\sqrt{2}}\)

Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits

iii) In a circuit L, C & R are connected in series with an alternating voltage of frequency f. the current leads the voltage by 450. The value of C is
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 1
Answer:
(B) \(\frac{1}{2 \pi f(2 \pi f L-R)}\)

iv) In an AC circuit, e and i are given by e = 150 sin (150t) V and i = 150 sin (150 t + \(\frac{\pi}{3}\)) A. the power dissipated in the circuit is
(A) 106W
(B) 150W
(C) 5625W
(D) Zero
Answer:
(C) 5625W

v) In a series LCR circuit the phase difference between the voltage and the current is 45°. Then the power factor will be
(A) 0.607
(B) 0.707
(C) 0.808
(D) 1
Answer:
(B) 0.707

2. Answer in brief.

i) An electric lamp is connected in series with a capacitor and an AC source is glowing with a certain brightness. How does the brightness of the lamp change on increasing the capacitance ?
Answer:
Impedance, Z = \(\sqrt{R^{2}+\frac{1}{\omega^{2} C^{2}}}\), where R is the resistance of the lamp, w is the angular frequency of AC and C is the capacitance of the capacitor connected in series with the AC source and the lamp. When C is increased, \(\) decreases. Hence, Z increases.
Power factor, cos Φ = \(\frac{R}{Z}\)
As Z increases, the power factor decreases.
Now, the average power over one cycle,
Pav = vrms irms cos Φ
= Vrms \(\left(\frac{V_{\mathrm{rms}}}{Z}\right)\) cos Φ
= \(\frac{V_{\mathrm{rms}}^{2}}{\mathrm{Z}} \cos \phi\)
∴ Pav decreases as Z increases and cos Φ decreases.
As the current through the lamp \(\left(\frac{V_{\mathrm{rms}}}{Z}\right)\) decreases, the brightness of the lamp will decrease when C is increased.

ii) The total impedance of a circuit decreases when a capacitor is added in series with L and R. Explain why ?
Answer:
For an LR circuit, the impedance,
ZLR = \(\sqrt{R^{2}+X_{\mathrm{L}}^{2}}\), where XL is the reactance of the inductor.
When a capacitor of capacitance C is added in series with L and R, the impedance,
ZLCR = \(\sqrt{R^{2}+\left(X_{\mathrm{L}}-X_{\mathrm{C}}\right)^{2}}\) because in the case of an inductor the current lags behind the voltage by a phase angle of \(\frac{\pi}{2}\) rad while in the case of a capacitor the current leads the voltage by a phase angle of \(\frac{\pi}{2}\) rad. The decrease in net reactance decreases the total impedance (ZLCR < ZLR).

iii) For very high frequency AC supply, a capacitor behaves like a pure conductor. Why ?
Answer:
The reactance of a capacitor is XC = \(\frac{1}{2 \pi f C}\), where f is the frequency of the AC supply and C is the capacitance of the capacitor. For very high frequency, f, XC is very small. Hence, for very high frequency AC supply, a capacitor behaves like a pure conductor.

Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits

iv) What is wattless current ?
Answer:
The current that does not lead to energy consumption, hence zero power consumption, is called wattless current.
In the case of a purely inductive circuit or a purely capacitive circuit, average power consumed over a complete cycle is zero and hence the corresponding alternating current in the circuit is called wattless current.
[Note : In this case, the power factor is zero.]

v) What is the natural frequency of L C circuit ? What is the reactance of this circuit at this frequency
Answer:
The natural frequency of LC circuit is \(\frac{1}{2 \pi \sqrt{L C}}\) ,
where L is the inductance and C is the capacitance. The reactance of this circuit at this frequency is
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 18

Question 3.
In a series LR circuit XL = R and power factor of the circuit is P1. When capacitor with capacitance C such that XL = XC is put in series, the power factor becomes P2. Calculate P1 / P2 .
Answer:
For a series LR circuit, power factor,
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 17

Question 4.
When an AC source is connected to an ideal inductor show that the average power supplied by the source over a complete cycle is zero.
Answer:
In an AC circuit containing only an ideal inductor, the current i lags behind the emf e by a phase angle of \(\frac{\pi}{2}\) rad. Here, for e = e0 sin ωt, we have, i = i0 sin(ωt – \(\frac{\pi}{2}\))
Instantaneous power, P = ei
= (e0 sin ωt) [i0 (sin ωt cos \(\frac{\pi}{2}\) – cos ωt sin \(\frac{\pi}{2}\))]
= – e0i0 sin ωt cos ωt as cos \(\frac{\pi}{2}\) = 0 and sin \(\frac{\pi}{2}\) = 1.
Average power over one cycle,
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 15
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 16
= erms irms cos Φ = erms irms (\(\frac{R}{Z}\)), where the impedance Z = \(\sqrt{R^{2}+\left(X_{\mathrm{L}}-X_{\mathrm{C}}\right)^{2}}\).
∴ Pav = 0, i.e., the circuit does not dissipate power.

Question 5.
Prove that an ideal capacitor in an AC circuit does not dissipate power
Answer:
In an AC circuit containing only an ideal inductor, the current i lags behind the emf e by a phase angle of \(\frac{\pi}{2}\) rad. Here, for e = e0 sin ωt, we have, i = i0 sin(ωt – \(\frac{\pi}{2}\))
Instantaneous power, P = ei
= (e0 sin ωt) [i0 (sin ωt cos \(\frac{\pi}{2}\) + cos ωt sin \(\frac{\pi}{2}\))]
= – e0i0 sin ωt cos ωt as cos \(\frac{\pi}{2}\) = 0 and sin \(\frac{\pi}{2}\) = 1.
Average power over one cycle, Pav
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 15
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 16
= erms irms cos Φ = erms irms (\(\frac{R}{Z}\)), where the impedance Z = \(\sqrt{R^{2}+\left(X_{\mathrm{L}}-X_{\mathrm{C}}\right)^{2}}\).
∴ Pav = 0, i.e., the circuit does not dissipate power.

Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits

Question 6.
(a) An emf e = e0 sin ωt applied to a series L – C – R circuit derives a current I = I0 sinωt in the circuit. Deduce the expression for the average power dissipated in the circuit.
(b) For circuits used for transporting electric power, a low power factor implies large power loss in transmission. Explain.
Answer:
(a) Instantaneous power,
P = ei
= (e0 sin ωt) [i0 (sin ωt ± Φ)]
= e0i0 sin ωt(sin ωt cos Φ ± cos ωt sin Φ)
= e0i0 sin2 ωt ± e0i0 sin Φ sin ωt cos ωt
Average power over one cycle,
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 15
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 16
= erms irms cos Φ = erms irms (\(\frac{R}{Z}\)), where the impedance Z = \(\sqrt{R^{2}+\left(X_{\mathrm{L}}-X_{\mathrm{C}}\right)^{2}}\).

(b) Pav = erms irms cos Φ
The factor cos Φ is called as power factor. For circuits used for transporting electric power, a low power factor means the power available on transportation is much less than erms irms It means there is significant loss of power during transportation.

Question 7.
A device Y is connected across an AC source of emf e = e0 sinωt. The current through Y is given as i = i0 sin(ωt + π/2)
a) Identify the device Y and write the expression for its reactance.
b) Draw graphs showing variation of emf and current with time over one cycle of AC for Y.
c) How does the reactance of the device Y vary with the frequency of the AC ? Show graphically
d) Draw the phasor diagram for the device Y.
Answer:
(a) The device Y is a capacitor. Its reactance is Xc = \(\frac{1}{\omega C}\),
where ω is the angular frequency of the applied emf and C is the capacitance of the capacitor.

(b)
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 6

(c) XC = \(\frac{1}{\omega C}=\frac{1}{2 \pi f C}\). Thus XC ∝ \(\frac{1}{f}\), where f is the frequency of AC. Suppose C = \(\left(\frac{1000}{2 \pi}\right)\) pF
For f= 100 Hz, XC = 1 × 107Ω = 10MΩ;
for f = 200 Hz, XC = 5 MΩ;
for f = 300 Hz, XC = \(\frac{10}{3}\) MΩ;
for f = 400 Hz, XC = 2.5 MΩ
for f = 500 Hz, XC = 2 MΩ and so on
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 8

(d)
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 9
The phasor representing the peak emf (e0) makes an angle (ωt) in an anticlockwise direction with respect to the horizontal axis. As the current leads the voltage by 90°, the phasor representing the peak current (i0) is turned 90° anticlockwise with respect to the phasor representing emf e0. The projections of these phasors on the vertical axis give instantaneous values of e and i.

Question 8.
Derive an expression for the impedance of an LCR circuit connected to an AC power supply.
Answer:
Figure shows an inductor of inductance L, capacitor of capacitance C, resistor of resistance R, key K and source (power supply) of alternating emf (e) connected to form a closed series circuit.
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 10
We assume the inductor, capacitor and resistor to be ideal. As these are connected in series, at any instant, they carry the same current i = i0 sin ωt. The voltage across the resistor, eR = Ri, is in phase with the current. The voltage across the inductor, eL = XLi, leads the current by \(\frac{\pi}{2}\) rad and that across the capacitor, eC = XCi, lags behind the current by \(\frac{\pi}{2}\) rad. This is shown in the phasor diagram.
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 11
is the effective resistance of the circuit. It is called the impedance.

Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits

Question 9.
Compare resistance and reactance.
Answer:
(1) Resistance is opposition to flow of charges (current) and appears in a DC circuit as well as in an AC circuit.
The term reactance appears only in an AC circuit. It occurs when an inductor and/or a capacitor is used.

(2) In a purely resistive circuit, current and voltage are always in phase.
When reactance is not zero, there is nonzero phase difference between current and voltage.

(3) Resistance does not depend on the frequency of AC.
Reactance depends on the frequency of AC. In case of an inductor, reactance increases linearly with frequency. In case of a capacitor, reactance decreases as frequency of AC increases; it is inversely proportional to frequency.

(4) Resistance gives rise to production of Joule heat in a component.
In a circuit with pure reactance, there is no production of heat.

Question 10.
Show that in an AC circuit containing a pure inductor, the voltage is ahead of current by π/2 in phase.
Answer:
Figure 13.8 shows an AC source, generating a voltage e = e0 sin ωt, connected to a key K and a pure inductor of inductance L to form a closed circuit.
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 2
On closing the key K, an emf is induced in the inductor as the magnetic flux linked with it changes with time. This emf opposes the applied emf and according to the laws of electromagnetic induction by Faraday and Lenz, we have,
e’ = -L\(\frac{d i}{d t}\) ………………. (1)
where e’ is the induced emf and i is the current through the inductor. To maintain the current; e and e’ must be equal in magnitude and opposite in direction.

According to Kirchhoff’s voltage law, as the resistance of the inductor is assumed to be zero, we
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 3
where C is the constant of integration. C must be time independent and have the dimension of current. As e oscillates about zero, i also oscillates about zero and hence there cannot be any time independent component of current.
∴ C = 0. ∴ i = –\(\frac{e_{0}}{\omega L}\)cos ωt = – \(\frac{e_{0}}{\omega L}\)sin(\(\frac{\pi}{2}\) – ωt)
∴ i = \(\frac{e_{0}}{\omega L}\) sin(ωt – \(\frac{\pi}{2}\)) ……………. (3)
as sin (-θ) = – sin θ
From Eq. (3), ipeak = i0 = \(\frac{e_{0}}{\omega L}\)
∴ i = i0 sin(ωt – \(\frac{\pi}{2}\)) ………………. (4)
Comparison of this equation with e = e0 sin ωt shows that e leads i by \(\frac{\pi}{2}\) rad, i.e., the voltage is ahead of current by \(\frac{\pi}{2}\) rad in phase.

Question 11.
An AC source generating a voltage e = e0 sinωt is connected to a capacitor of capacitance C. Find the expression for the current i flowing through it. Plot a graph of e and i versus ωt.
Answer:
Figure 13.12 shows an AC source, generating a voltage e = e0 sin ωt, connected to a capacitor of capacitance C. The plates of the capacitor get charged due to the applied voltage. As the alternating voltage is reversed in each half cycle, the
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 4
capacitor is alternately charged and discharged. If q is the charge on the capacitor, the corresponding potential difference across the plates of the capacitor is V = \(\frac{q}{C}\) ∴ q = CV. q and V are functions of time, with V = e = e0 sin ωt. The instantaneous current in the circuit is i = \(\frac{d q}{d t}=\frac{d}{d t}\)(CV) = C \(\frac{d v}{d t}\) = C \(\frac{d}{d t}\) (e0 sin ωt) = ωC e0 cos ωt
∴ i = \(\frac{e_{0}}{(1 / \omega C)} \sin \left(\omega t+\frac{\pi}{2}\right)=i_{0} \sin \left(\omega t+\frac{\pi}{2}\right)\)
where i0 = \(\frac{e_{0}}{(1 / \omega C)}\) is the peak value of the current.
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 5
Table gives the values of e and i for different values of cot and Fig shows graphs of e and i versus ωt. i leads e by phase angle of \(\frac{\pi}{2}\) rad.
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 6

Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits

Question 12.
If the effective current in a 50 cycle AC circuit is 5 A, what is the peak value of current? What is the current 1/600 sec.after if was zero ?
Answer:
Data : f = 50 Hz, irms = 5 A, t = \(\frac{1}{600}\) s
The peak value of the current,
i0 = irms\(\sqrt {2}\) = (5)(1.414) = 7.07 A
= i0sin (2πft)
= 7.07 sin [2π(5o) (\(\frac{1}{600}\))]
= 7.07 sin (\(\frac{\pi}{6}\)) = (7.07)(0.5)
= 3.535 A
This is the required current.

Question 13.
A light bulb is rated 100W for 220 V AC supply of 50 Hz. Calculate (a) resistance of the bulb. (b) the rms current through the bulb.
Answer:
Data: Power (Vrms irms) = 100 W, Vrms = 220V,
f = 50 Hz
The rms current through the bulb,
irms = \(\frac{\text { power }}{V_{\mathrm{rms}}}=\frac{100}{220}\) = 0.4545 A
The resistance of the bulb,
R = \(\frac{V_{\mathrm{rms}}}{i_{\mathrm{rms}}}=\frac{220}{(100 / 220)}\) = (22) (22) = 484 Ω

Question 14.
A 15.0 µF capacitor is connected to a 220 V, 50 Hz source. Find the capacitive reactance and the current (rms and peak)
in the circuit. If the frequency is doubled, what will happen to the capacitive reactance and the current.
Answer:
Data : C = 15 µF = 15 × 10-6 F, Vrms = 220V, f = 50 Hz,
The capacitive reactance = \(\frac{1}{2 \pi f C}\)
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 12
If the frequency is doubled, the capacitive reactance will be halved and the current will be doubled.

Question 15.
An AC circuit consists of only an inductor of inductance 2 H. If the current is represented by a sine wave of amplitude 0.25 A and frequency 60 Hz, calculate the effective potential difference across the inductor (π = 3.142)
Answer:
Data : L = 2H, i0 = 0.25 A, f = 60 Hz, π = 3.142
ωL = 2πfL = 2(3.142)(60)(2) = 754.1 Ω
The effective potential difference across the inductor = ωLirms = ωL \(\frac{i_{0}}{\sqrt{2}}\)
= \(\frac{(754.1)(0.25)}{1.414}\) = 133.3 V

Question 16.
Alternating emf of e = 220 sin 100 πt is applied to a circuit containing an inductance of (1/π) henry. Write an equation for instantaneous current through the circuit. What will be the reading of the AC galvanometer connected in the circuit?
Answer:
Data: e = 220 sin 100 πt, L = (\(\frac{1}{\pi}\))H
Comparing e = 220 sin 100 πt with
e = e0 sin ωt, we get
ω = 100 π ∴ ωL = (100 π) (\(\frac{1}{\pi}\)) = 100 Ω
∴ The instantaneous current through the circuit
= i = \(\frac{e_{0}}{\omega L}\) sin(100 πt – \(\frac{\pi}{2}\))
= \(\frac{220}{100}\) sin (100 πt – \(\frac{\pi}{2}\)) = 2.2 sin (100 πt – \(\frac{\pi}{2}\)) in ampere [assuming that e is in volt.]
irms = \(\frac{i_{0}}{\sqrt{2}}=\frac{2.2}{1.414}\) = 1.556 A is the reading of the AC galvanometer connected in the circuit.

Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits

Question 17.
A 25 µF capacitor, a 0.10 H inductor and a 25Ω resistor are connected in series with an AC source whose emf is given by e = 310 sin 314 t (volt). What is the frequency, reactance, impedance, current and phase angle of the circuit?
Answer:
Data: C = 25 µF = 25 × 10-6F, L = 0.10H, R = 25 Ω ,
e = 310 sin (314 t) [volt]
Comparing e = 310 sin (314 t) with
e = e0 sin (2πft), we get,
the frequency of the alternating emf as
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 13
cos Φ = \(\frac{R}{Z}=\frac{25}{99.2}\) = 0.2520
∴ The phase angle, Φ = cos-1(0.2520) = 75.40° = 1.316 rad

Question 18.
A capacitor of 100 µF, a coil of resistance 50Ω and an inductance 0.5 H are connected in series with a 110 V-50Hz source. Calculate the rms value of current in the circuit.
Answer:
Data : C = 100 µF = 100 × 10-6 F = 10-4 F,
R = 50 Ω, L = 0.5H, f = 50 Hz, Vrms = 110 V
∴ ωL = 2πfL = 2 (3.142)(50)(0.5) = 157.1 Ω
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 14
2500 + 15700 = 18200 Ω2
∴ Impedance, Z = \(\sqrt {18200}\) Ω = 134.9 Ω
The rms value of the current in the circuit,
irms = \(\frac{V_{\mathrm{rms}}}{\mathrm{Z}}=\frac{110}{134.9} \mathrm{~A}\)
= 0.8154 A

Question 19.
Find the capacity of a capacitor which when put in series with a 10Ω resistor makes the power factor equal to 0.5. Assume an 80V-100Hz AC supply.
Answer:
Data : R = 10 Ω, power factor = 0.5, f = 100 Hz
Power factor = \(\frac{1}{2 \pi f C R}\)
∴ 0.5 = \(\frac{1}{2(3.142)(100) C(10)}\)
∴ C = \(\frac{1}{3.142 \times 10^{3}}\)
= \(\frac{10 \times 10^{-4}}{3.142}\)
= 3.182 × 10-4 F
This is the capacity of the capacitor.

Question 20.
Find the time required for a 50 Hz alternating current to change its value from zero to the rms value.
Answer:
Data : f = 50 Hz, i = \(\frac{i_{0}}{\sqrt{2}}\) ∴ \(\frac{i}{i_{0}}=\frac{1}{\sqrt{2}}\)
i = i0 sinωt
∴ sinωt = \(\frac{i}{i_{0}}=\frac{1}{\sqrt{2}}\)
∴ ωt = \(\frac{\pi}{4}\) rad
∴ 2πft = \(\frac{\pi}{4}\)
∴ t = \(\frac{1}{8 f}=\frac{1}{8(50)}=\frac{1}{400}\)
= \(\frac{1000 \times 10^{-3}}{400}\) = 2.5 × 10-3 s
This is the required time.

Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits

Question 21.
Calculate the value of capacitance in picofarad, which will make 101.4 micro henry inductance to oscillate with frequency of one megahertz.
Answer:
Data : fr = 106 Hz, L = 101.4 × 10-6 H
Maharashtra Board Class 12 Physics Solutions Chapter 13 AC Circuits 19
= \(\frac{10000 \times 10^{-10}}{4(3.142)^{2}(101.4)}\) = 2.497 × 10-10 F
= 249.7 × 10-12 F = 249.7 picofarad
This is the value of the capacity.

Question 22.
A 10 µF capacitor is charged to a 25 volt of potential. The battery is disconnected and a pure 100 m H coil is connected across the capacitor so that LC oscillations are set up. Calculate the maximum current in the coil.
Answer:
Data: C = 10 µF = 10 × 10-6F = 10-5F,
L = 100mH = 100 × 10-3 H = 10-1 H, V = 25V
For reference, see the solved example (8) above.
\(\frac{1}{2}\)CV2 = \(\frac{1}{2}\)Li2
∴i2 = \(\frac{C}{L} V^{2}=\frac{10^{-5}}{10^{-1}}(25)^{2}\)
∴i = 25 × 10-2 A = 0.25 A
This is the maximum current in the coil.

Question 23.
A 100 µF capacitor is charged with a 50 V source supply. Then source supply is removed and the capacitor is connected across an inductance, as a result of which 5A current flows through the inductance. Calculate the value of the inductance.
Answer:
Data: C = 100 µF = 100 × 10-6 F = 10-4 F,
V = 50V, i = 5A
The energy stored in the electric field in the capacitor
= \(\frac{1}{2}\)CV2
The energy stored in the magnetic field in the inductor = \(\frac{1}{2}\)Li2
Here, \(\frac{1}{2}\)CV2 = \(\frac{1}{2}\)Li2
∴ L = C\(\frac{V^{2}}{i^{2}}\)
∴ L = C\(\left(\frac{V}{i}\right)^{2}=10^{-4}\left(\frac{50}{5}\right)^{2}\) = 10-4 × 102
= 10-2H
This is the value of the inductance.

Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic Induction

Balbharti Maharashtra State Board 12th Physics Textbook Solutions Chapter 12 Electromagnetic Induction Textbook Exercise Questions and Answers.

Maharashtra State Board 12th Physics Solutions Chapter 12 Electromagnetic Induction

1. Choose the correct option.

i) A circular coil of 100 turns with a cross-sectional area (A) of 1 m2 is kept with its plane perpendicular to the magnetic field (B) of 1 T. What is the magnetic flux linkage with the coil?
(A) 1 Wb
(B) 100 Wb
(C) 50 Wb
(D) 200 Wb
Answer:
(B) 100 Wb

ii) A conductor rod of length (l) is moving with velocity (v) in a direction normal to a uniform magnetic field (B). What will be the magnitude of induced emf produced between the ends of the moving conductor?
(A) BLv
(B) BLv2
(C) \(\frac{1}{2}\)Blv
(D) \(\frac{2 B l}{\mathrm{v}}\)
Answer:
(A) BLv

Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction

iii) Two inductor coils with inductance 10 mH and 20 mH are connected in series. What is the resultant inductance of the combination of the two coils?
(A) 20 mH
(B) 30 mH
(C) 10 mH
(D) \(\frac{20}{3}\) mH
Answer:
(A) 20 mH

iv) A current through a coil of self inductance 10 mH increases from 0 to 1 A in 0.1 s. What is the induced emf in the coil?
(A) 0.1 V
(B) 1 V
(C) 10 V
(D) 0.01 V
Answer:
(A) 0.1 V

v) What is the energy required to build up a current of 1 A in an inductor of 20 mH?
(A) 10 mJ
(B) 20 mJ
(C) 20 J
(D) 10 J
Answer:
(A) 10 mJ

2. Answer in brief.

i) What do you mean by electromagnetic induction? State Faraday’s law of induction.
Answer:
The phenomenon of production of emf in a conductor or circuit by a changing magnetic flux through the circuit is called electromagnetic induction.

Faraday’s laws of electromagnetic induction :
(1) First law ; Whenever there is a change in the magnetic flux associated with a circuit, an emf is induced in the circuit.
(2) Second law : The magnitude of the induced emf is directly proportional to the time rate of change of magnetic flux through the circuit.
[Note : The phenomenon was discovered in 1830 by Joseph Henry (1797-1878), US physicist, and independently in 1832 by Michael Faraday (1791 -1867), British chemchemist and physicist.]

ii) State and explain Lenz’s law in the light of principle of conservation of energy.
Answer:
Lenz’s law : The direction of the induced current is such as to oppose the change that produces it.

The change that induces a current may be (i) the motion of a conductor in a magnetic field or (ii) the change of the magnetic flux through a stationary circuit.

Explanation : Consider Faraday’s magnet-and- coil experiment. If the bar magnet is moved towards the coil with its N-pole facing the coil, as in Fig., the number of magnetic lines of induction (pointing to the left) through the coil increases. The induced current in the coil sets up a magnetic field of its own pointing to the right (as given by Amperes right-hand rule) to oppose the growing flux due to the magnet. Hence, to move the magnet towards the coil against this repulsive flux of the induced current, we must do work. The work done shows up as electric energy in the coil.
Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction 1
When the magnet is withdrawn, with its N-pole still facing the coil, the number of magnetic lines of induction (pointing left) through the coil decreases. The induced current reverses its direction to supplement the decreasing flux with its own, as shown in Fig.. Facing the coil along the magnet, the induced current is in the clockwise sense. The electric energy in the coil comes from the work done to withdraw the magnet, now against an attractive force. Thus, we see that Lenz’s law is a consequence of the law of conservation of energy.

[Note : The above law was discovered by Heinrich Friedrich Emil Lenz (1804-65), Russian physicist.]

Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction

iii) What are eddy currents? State applications of eddy currents.
Answer:
Whenever a conductor or a part of it is moved in a magnetic field “cutting” magnetic field lines, or placed in a changing magnetic field, the free electrons in the bulk of the metal start circulating in closed paths equivalent to current-carrying loops. These loop currents resemble eddies in a fluid stream and are hence called eddy or Foucault currents [after Jean Bernard Leon Foucault (1819-68), French physicist, who first detected them].

Applications :
(1) Dead-beat galvanometer : A pivoted moving-coil galvanometer used for measuring current has the coil wound on a light aluminium frame. The rotation of the metal frame in magnetic field produces eddy currents in the frame which opposes the rotation and the coil is brought to rest quickly. This makes the galvanometer dead-beat.

(2) Electric brakes : When a conducting plate is pushed into a magnetic field, or pulled out, very quickly, the interaction between the eddy currents in the moving conductor and the field retards the motion. This property of eddy currents is used as a method of braking in vehicles.

iv) If the copper disc of a pendulum swings between the poles of a magnet, the pendulum comes to rest very quickly. Explain the reason. What happens to the mechanical energy of the pendulum?
Answer:
As the copper disc enters and leaves the magnetic field, the changing magnetic flux through it induces eddy current in the disc. In both cases, Fleming’s right hand rule shows that opposing magnetic force damps the motion. After a few swings, the mechanical energy becomes zero and the motion comes to a stop.

Joule heating due to the eddy current warms up the disc. Thus, the mechanical energy of the pendulum is transformed into thermal energy.

v) Explain why the inductance of two coils connected in parallel is less than the inductance of either coil.
Answer:
Assuming that their mutual inductance can be ignored, the equivalent inductance of a parallel combination of two coils is given by
\(\frac{1}{L_{\text {parallel }}}=\frac{1}{L_{1}}+\frac{1}{L_{2}}\) or Lparallel = \(\frac{L_{1} L_{2}}{L_{1}+L_{2}}\)
Hence, the equivalent inductance is less than the inductance of either coil.

Question 3.
In a Faraday disc dynamo, a metal disc of radius R rotates with an angular velocity ω about an axis perpendicular to the plane of the disc and passing through its centre. The disc is placed in a magnetic field B acting perpendicular to the plane of the disc. Determine the induced emf between the rim and the axis of the disc.
Answer:
Suppose a thin conducting disc of radius R is rotated anticlockwise, about its axis, in a plane perpendicular to a uniform magnetic field of induction \(\vec{B}\) (see the figure in the above Note for reference). \(\vec{B}\) points downwards. Let the constant angular speed of the disc be ω.

Consider an infinitesimal element of radial thickness dr at a distance r from the rotation axis. In one rotation, the area traced by the element is dA = 2πrdr. Therefore, the time rate at which the element traces out the area is
\(\frac{d A}{d t}\) = frequency of rotation x dA = fdA
where f = \(\frac{\omega}{2 \pi}\) is the frequency of rotation.
.’. \(\frac{d A}{d t}=\frac{\omega}{2 \pi}\) (2 πr dr) = ωr dr
The total emf induced between the axle and the rim of the rotating disc is
\(|e|=\int B \frac{d A}{d t}=\int_{0}^{R} B \omega r d r=B \omega \int_{0}^{R} r d r=B \omega \frac{R^{2}}{2}\)
For anticlockwise rotation in \(\vec{B}\) pointing down, the axle is at a higher potential.

Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction

Question 4.
A horizontal wire 20 m long extending from east to west is falling with a velocity of 10 m/s normal to the Earth’s magnetic field of 0.5 × 10-4 T. What is the value of induced emf in the wire?
Answer:
Data : l = 20 m, v = 10 m/s. B = 5 × 10-5 T
The magnitude of the induced emf,
|e| = Blv = (5 × 10-5)(20)(10) = 10-2V = 10 mV

Question 5.
A metal disc is made to spin at 20 revolutions per second about an axis passing through its centre and normal to its plane. The disc has a radius of 30 cm and spins in a uniform magnetic field of 0.20 T, which is parallel to the axis of rotation. Calculate
(a) The area swept out per second by the radius of the disc,
(b) The flux cut per second by a radius of the disc,
(c) The induced emf in the disc.
Answer:
Data: R = 0.3m, f = 20 rps, B = 0.2T
(a) The area swept out per unit time by a given radius = (the frequency of rotations) × (the area swept out per rotation) = f(πr2)
= (20)(3.142 × 0.09) = 5.656 m2

(b) The time rate at which a given radius cuts magnetic flux
= \(\frac{d \Phi_{\mathrm{m}}}{d t}\) = B f(πr2)
= (0.2)(5.656) = 1.131 Wb/s

(c) The magnitude of the induced emf,
|e| = \(\frac{d \Phi_{\mathrm{m}}}{d t}\) = 1.131 V

Question 6.
A pair of adjacent coils has a mutual inductance of 1.5 H. If the current in one coil changes from 0 to 10 A in 0.2 s, what is the change of flux linkage with the other coil?
Answer:
Data: M = 1.5 H, I1i = 0, I1f = 10A, ∆f = 0.2s
The flux linked per unit turn with the second coil due to current I1 in the first coil is
Φ21 = MI1
Therefore, the change in the flux due to change in I1 is
21 =M(∆I1) = M(I1f – I1i) = 1.5 (10 – 0)
= 15 Wb
[Note: The rate of change of flux linkage is M(∆I1/∆t) = 15/0.2 = 75 Wb/s] .

Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction

Question 7.
A long solenoid has 1500 turns/m. A coil C having cross sectional area 25 cm2 and 150 turns (Nc) is wound tightly around the centre of the solenoid. If a current of 3.0A flows through the solenoid, calculate :
(a) the magnetic flux density at the centre of the solenoid,
(b) the flux linkage in the coil C,
(c) the average emf induced in coil C if the direction of the current in the solenoid is reversed in a time of 0.5 s. (µ0 = 4π × 10-7 H/m)
Answer:
Data: n = 1.5 × 103 m , A = 25 × 10-4 m2,
Nc = 150, I = 3A, ∆t = 0.5s,
µ0 = 4π × 10-7 H/m
(a) Magnetic flux density inside the solenoid,
B = u0 nI = (4π × 10-7)(1500)(3)
= 5.656 × 10-3 T = 5.656 mT

(b) Flux per unit turn through the coils of the solenoid, Φm = BA
Since the coil C is wound tightly over the solenoid, the flux linkage of C is
NCΦm = NCBA = (150)(5.656 × 10-3)(25 × 10-4)
= 2.121 × 10-3 Wb = 2.121 mWb

(c) Initial flux through coil C,
Φi = NCΦm = 2.121 × 10-3 Wb
Reversing the current in the solenoid reverses the flux through coil C, the magnitude remaining the same. But since the flux enters through the other face of the coil, the final flux through C is Φf = -2.121 × 10-3 Wb
Therefore, the average emf induced in coil C,
e = \(-\frac{\Phi_{\mathrm{f}}-\Phi_{1}}{\Delta t}=-\frac{(-2.121-2.121) \times 10^{-3}}{0.5}\)
= 2 × 4.242 × 10-3 = 8.484 × 10-3 V = 8.484 mV

Question 8.
A search coil having 2000 turns with area 1.5 cm2 is placed in a magnetic field of 0.60T. The coil is moved rapidly out of the field in a time of 0.2 second. Calculate the induced emf across the search coil.
Answer:
Data: N = 2000, Ai = 1.5 × 10-4 m2, Af = 0,
B = 0.6T, ∆t = 0.2s
Initial flux, NΦf = NBAi = 2000(0.6)(1.5 × 10-4)
= 0.18 Wb
Final flux, NΦf = 0, since the coil is withdrawn out of the field.
Induced emf,e = \(-N \frac{\Delta \Phi_{\mathrm{m}}}{\Delta t}=-N \frac{\Phi_{\mathrm{f}}-\Phi_{1}}{\Delta t}\)
∴ e = \(-\frac{0-0.18}{0.2}\) = 0.9V

Question 9.
An aircraft of wing span of 50 m flies horizontally in earth’s magnetic field of 6 × 10-5 T at a speed of 400 m/s. Calculate the emf generated between the tips of the wings of the aircraft.
Answer:
Data : l = 50 m, B = 6 × 10-5T, v = 400 m/s
The magnitude of the induced emf,
|e| = Blv = (6 × 10-5)(400)(50) = 1.2V

Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction

Question 10.
A stiff semi-circular wire of radius R is rotated in a uniform magnetic field B about an axis passing through its ends. If the frequency of rotation of the wire is f, calculate the amplitude of the alternating emf induced in the wire.
Answer:
In one rotation, the wire traces out a circle of radius R, i.e., an area A = πR2.
Therefore, the rate at which the wire traces out the area is
\(\frac{d A}{d t}\) = frequency or rotation × A = fA
If the angle between the uniform magnetic field \(\vec{B}\) and the rotation axis is θ, the magnitude of the induced emf is
|e|= B\(\frac{d A}{d t}\) cosθ = BfA cosθ = Bf(πR2)cosθ
so that the required amplitude is equal to Bf(πR2).

Question 11.
Calculate the value of induced emf between the ends of an axle of a railway carriage 1.75 m long traveling on level ground with a uniform velocity of 50 km per hour. The vertical component of Earth’s magnetic field (Bv) is given to be 5 × 10-5T.
Answer:
Data: l = 1.75 m, v = 50 km/h = 50 × \(\frac{5}{18}\) m/s.
Bv = 5 × 10-5 T
The area swept out by the wing per unit time = 1v.
∴ The magnetic flux cut by the wing per unit time
= \(\frac{d \Phi_{\mathrm{m}}}{d t}\) = Bv(lv)
=(5 × 10-5)(1.75)(50 × \(\frac{5}{18}\))= 121.5 × 10-5
= 1.215 mWb/s
Therefore, the magnitude of the induced emf,
|e| =1.215 mV
[Note: In the northern hemisphere, the vertical com ponent of the Earth’s magnetic induction is downwards. Using Fleming’s right hand rule, the port (left) wing-tip would be positive.]

Question 12.
The value of mutual inductance of two coils is 10 mH. If the current in one of the coil changes from 5A to 1A in 0.2 s, calculate the value of emf induced in the other coil.
Answer:
Data: M = 10 mH = 10-2 H, I1i = 5A, I1f = 1 A,
∆t = 0.2s
The mutually induced emf in coil 2 due to the changing current in coil 1,
e21 = \(-M \frac{\Delta I_{1}}{\Delta t}=-M \frac{I_{1 \mathrm{f}}-I_{1 \mathrm{i}}}{\Delta t}\)
= -(10-2) \(\left(\frac{1-5}{0.2}\right)\) = 0.2 V

Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction

Question 13.
An emf of 96.0 mV is induced in the windings of a coil when the current in a nearby coil is increasing at the rate of 1.20 A/s. What is the mutual inductance (M) of the two coils?
Answer:
Data: |e2| = 9.6 × 10-2 V, dI1/dt = 1.2 A/s
|e2| = M\(\frac{d I_{1}}{d t}\)
Mutual inductance,
M = \(\frac{\left|e_{2}\right|}{d I_{1} / d t}=\frac{9.6 \times 10^{-2}}{1.2}\)
= 8 × 10-2 H
= 80 mH

Question 14.
A long solenoid of length l, cross-sectional area A and having N1 turns (primary coil) has a small coil of N2 turns (secondary coil) wound about its centre. Determine the Mutual inductance (M) of the two coils.
Answer:
We assume the solenoid to be ideal and that all the flux from the solenoid passes through the outer coil C. For a steady current Is through the solenoid, the uniform magnetic field inside the solenoid is
B = µ0nIs ……………….. (1)
Then, the magnetic flux through each turn of the coil due to the current in the solenoid is
ΦCS = BA = (µ0nIs)(πR2) ……………… (2)
Thus, their mutual inductance is
M = \(\frac{N \Phi_{\mathrm{CS}}}{I_{\mathrm{S}}}\) = µ0πR2nN ……………. (3)
Equation (2) is true as long as the magnetic field of the solenoid is entirely contained within the cross section of the coil C. Hence, M does not depend on the shape, size, or possible lack of close packing of the coil.
replacing n with N1/l and N with N2. M = µ0A = \(\frac{N_{1} N_{2}}{l}\)
[Note: The answer given in the textbook misses out the factor of 1.] .

Question 15.
The primary and secondary coil of a transformer each have an inductance of 200 × 10-6H. The mutual inductance (M) between the windings is 4 × 10-6H. What percentage of the flux from one coil reaches the other?
Answer:
Data: LP = LS = 2 × 10-4 H, M = 4 × 10-6 H
M = K\(\sqrt{L_{\mathrm{P}} L_{\mathrm{S}}}\)
The coupling coefficient is
K = \(\frac{M}{\sqrt{L_{\mathrm{P}} L_{\mathrm{S}}}}=\frac{4 \times 10^{-6}}{\sqrt{\left(2 \times 10^{-4}\right)^{2}}}=\frac{4 \times 10^{-6}}{2 \times 10^{-4}}\)
= 2 × 10-2
Therefore, the percentage of flux of the primary reaching the secondary is
0.02 × 100% = 2%

Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction

Question 16.
A toroidal ring, having 100 turns per cm of a thin wire is wound on a nonmagnetic metal rod of length 1 m and diameter 1 cm. If the permeability of bar is equal to that of free space (µ0), calculate the magnetic field inside the bar (B) when the current (i) circulating through the turns is 1 A. Also determine the self-inductance (L) of the coil.
Answer:
Data : l = 1 m, d = 1 cm, n = 100 cm-1 = 104 m-1,
I = 100 A, µ0 = 4π × 10-7 H/m
The radius of cross section, r = \(\frac{d}{2}\) = 0.5 cm
= 5 × 10-3 m
(a) Magnetic field inside the toroid,
B = µ0nI = (4π × 10-7)(104)(100)
= 0.4 × 3.142 = 1.257 T

(b) Self inductance of the toroid,
L = µ02πRn2A = µ0n2lA = µ0n2l(πr2)
= (4π × 10-7)(104)2(1) [π(5 × 10-3)2]
= π2 × 10-3 = 9.87 × 10-3 H = 9.87 mH

Question 17.
A uniform magnetic field B(t), pointing upward fills a circular region of radius, s in horizontal plane. If B is changing with time, find the induced electric field.
[Hint : Part of Maxwell’s equation, applied to a time varying magnetic flux, leads us to the equation \(\oint \vec{E} \cdot \overline{\mathrm{d} l}=\frac{-d \phi_{m}}{d t}\), where \(\vec{E}\) is the electric field induced when the magnetic flux changes at the rate of \(\frac{d \phi_{m}}{d t}\)]
Answer:
The area of the region, A = πs2, remains constant while B = B(f) is a function of time. Therefore, the induced emf,
e = \(-\frac{d \Phi_{\mathrm{m}}}{d t}=-\frac{d}{d t}(B A)=-A \frac{d B(t)}{d t}=-\pi s^{2} \frac{d B(t)}{d t}\)
[Note : Emf and electric field are different physical quantities, whose respective SI units are the volt and the volt per metre. The question has accordingly been corrected.]

12th Physics Digest Chapter 12 Electromagnetic induction Intext Questions and Answers

Do you know (Textbook Page No. 274)

Question 1.
If a wire without any current is kept in a magnetic field, then it experiences no force as shown in figure (a). But when the wire is carrying a current into the plane of the paper in the magnetic field, a force will be exerted on the wire towards the left as shown in the figure (b). The field will be strengthened on the right side of the wire where the lines of force are in the same direction as that of the magnetic field and weakened on the left side where the field lines are in opposite direction to that of the applied magnetic field. For a wire carrying a current out of the plane of the paper, the force will act to the right as shown in figure (c).
Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction 2
Answer:
Force on a current-carrying conductor in a magnetic field, \(\vec{F}=I \vec{L} \times \vec{B}\) (Refer unit 10.5). The field due to acurrent-carrying straight conductor is given by right- hand grip rule. As shown in the figure below, the combined field due to a permanent magnet and a current-carrying conductor force the conductor out of the field. The field is strengthened where the two fields are in the same direction and add constructively while the field is weakened where the two fields are opposite in direction.
Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction 3

Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction

Use your brain power (Textbook Page No. 282)

Question 1.
It can be shown that the mutual potential energy of two circuits is W = MI1I2. Therefore, the mutual inductance (M) may also be defined as the mutual potential energy (W) of two circuits corresponding to unit current flowing in each circuit.
M = \(\frac{W}{I_{1} I_{2}}\)
M = W[I1 = I2 = 1]
Answer:
Mutual inductance of two magnetically linked coils equals the potential energy for unit currents in the coils.
1 H = 1 T∙m2/A (= 1 V∙s/A = 1 Ω ∙ s = 1 J/A2)

Use your brain power (Textbook Page No. 284)

Question 1.
Prove that the inductance of parallel wires of length l in the same circuit is given by L = \(\left(\frac{\mu_{0} l}{\pi}\right)\) ln (d / a), where a is the radius of wire and d is separation between wire axes.
Answer:
If l is the current in each wire, from Ampe’re’s law the magnitude of the magnetic field outside each wire is
B = \(\frac{\mu_{0} I}{2 \pi r}\)
By right hand grip rule, the direction of the magnetic field due to both the wires are in the same direction at the point shown. Hence, by the symmetry of the setup, the total magnetic flux through an area dA = l dr shown is two times that due to one wire.
Maharashtra Board Class 12 Physics Solutions Chapter 12 Electromagnetic induction 4

Do you know (Textbook Page No. 285)

Question 1.
The flux rule is the terminology that Feynman used to refer to the law relating magnetic flux to emf. (RP Feynman, Feynman Lectures on Physics, Vol II)
Answer:
Modern applications of Faraday’s law of induction :

  • Electric generators and motors
  • Dynamos in vehicles
  • Transformers
  • Induction furnaces (industrial), induction cooking stoves (domestic)
  • Radio communication
  • Magnetic flow meters and energy meters
  • Metal detectors at security checks
  • Magnetic hard disk and tape, storage and retrieval
  • Graphics tablets
  • ATM Credit/debit cards, ATM and point-of-sale (POS) machines
  • Pacemakers

Faraday’s second law of electromagnetic induction is referred to by some as the “flux rule”.