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If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-
- a)The moment of inertia of the earth about its own axis, increases
- b)Angular momentum is conserved
- c)The angular velocity of earth about its own axis decreases
- d)Duration of the day will increase.
Correct answer is option 'A,B,C,D'. Can you explain this answer?
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If the ice on the polar caps of the earth melts then which of the foll...
If the ice on the polar caps of the earth melts, the water so formed will spread on the surface of earth . This increases the moment of inertia of the earth about its own axis due to change in the distribution of mass of the particles of water going away from the axis of rotation. To conseive angular momentum angular velocity of earth about its own axis will decrease. As 
Hence due to decrease in the value of ω, the duration of the day will increase.
Hence due to decrease in the value of ω, the duration of the day will increase.
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If the ice on the polar caps of the earth melts then which of the foll...
If the ice on the polar caps of the earth melts, the water so formed will spread on the surface of earth . This increases the moment of inertia of the earth about its own axis due to change in the distribution of mass of the particles of water going away from the axis of rotation. To conseive angular momentum angular velocity of earth about its own axis will decrease. As 
Hence due to decrease in the value of ω, the duration of the day will increase.
Hence due to decrease in the value of ω, the duration of the day will increase.
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If the ice on the polar caps of the earth melts then which of the foll...
Impact of melting polar ice caps on the Earth:
Melting of the polar ice caps has significant consequences for the Earth's dynamics. Let's examine each statement individually to understand why all options A, B, C, and D are correct:
a) The moment of inertia of the Earth about its own axis increases:
- The polar ice caps primarily consist of ice, which is distributed around the poles. When this ice melts, it redistributes its mass towards the equator.
- The redistribution of mass towards the equator increases the moment of inertia of the Earth about its own axis.
- Moment of inertia is a measure of an object's resistance to changes in its rotation.
- As the polar ice caps melt, the increase in moment of inertia slows down the Earth's rotation, affecting its dynamics.
b) Angular momentum is conserved:
- Angular momentum is the product of an object's moment of inertia and its angular velocity.
- In the absence of any external torques, angular momentum is conserved.
- When the polar ice caps melt, the moment of inertia increases, as discussed in point (a).
- To conserve angular momentum, the angular velocity of the Earth about its own axis must decrease. (This is explained in the next point)
c) The angular velocity of the Earth about its own axis decreases:
- As the moment of inertia increases due to the redistribution of melted ice mass, the angular momentum of the Earth must remain constant (as discussed in point (b)).
- Since angular momentum is the product of moment of inertia and angular velocity, a larger moment of inertia requires a smaller angular velocity to maintain a constant angular momentum.
- Therefore, the angular velocity of the Earth about its own axis decreases as the polar ice caps melt.
d) The duration of the day will increase:
- The duration of a day is directly related to the angular velocity of the Earth's rotation.
- As the polar ice caps melt, the angular velocity of the Earth about its own axis decreases (as explained in point (c)).
- A decrease in angular velocity means that the Earth takes longer to complete one full rotation, resulting in an increase in the duration of a day.
Therefore, all options A, B, C, and D are correct as they accurately describe the consequences of melting polar ice caps on the Earth's dynamics.
Melting of the polar ice caps has significant consequences for the Earth's dynamics. Let's examine each statement individually to understand why all options A, B, C, and D are correct:
a) The moment of inertia of the Earth about its own axis increases:
- The polar ice caps primarily consist of ice, which is distributed around the poles. When this ice melts, it redistributes its mass towards the equator.
- The redistribution of mass towards the equator increases the moment of inertia of the Earth about its own axis.
- Moment of inertia is a measure of an object's resistance to changes in its rotation.
- As the polar ice caps melt, the increase in moment of inertia slows down the Earth's rotation, affecting its dynamics.
b) Angular momentum is conserved:
- Angular momentum is the product of an object's moment of inertia and its angular velocity.
- In the absence of any external torques, angular momentum is conserved.
- When the polar ice caps melt, the moment of inertia increases, as discussed in point (a).
- To conserve angular momentum, the angular velocity of the Earth about its own axis must decrease. (This is explained in the next point)
c) The angular velocity of the Earth about its own axis decreases:
- As the moment of inertia increases due to the redistribution of melted ice mass, the angular momentum of the Earth must remain constant (as discussed in point (b)).
- Since angular momentum is the product of moment of inertia and angular velocity, a larger moment of inertia requires a smaller angular velocity to maintain a constant angular momentum.
- Therefore, the angular velocity of the Earth about its own axis decreases as the polar ice caps melt.
d) The duration of the day will increase:
- The duration of a day is directly related to the angular velocity of the Earth's rotation.
- As the polar ice caps melt, the angular velocity of the Earth about its own axis decreases (as explained in point (c)).
- A decrease in angular velocity means that the Earth takes longer to complete one full rotation, resulting in an increase in the duration of a day.
Therefore, all options A, B, C, and D are correct as they accurately describe the consequences of melting polar ice caps on the Earth's dynamics.
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If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-a)The moment of inertia of the earth about its own axis, increasesb)Angular momentum is conservedc)The angular velocity of earth about its own axis decreasesd)Duration of the day will increase.Correct answer is option 'A,B,C,D'. Can you explain this answer?
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If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-a)The moment of inertia of the earth about its own axis, increasesb)Angular momentum is conservedc)The angular velocity of earth about its own axis decreasesd)Duration of the day will increase.Correct answer is option 'A,B,C,D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-a)The moment of inertia of the earth about its own axis, increasesb)Angular momentum is conservedc)The angular velocity of earth about its own axis decreasesd)Duration of the day will increase.Correct answer is option 'A,B,C,D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-a)The moment of inertia of the earth about its own axis, increasesb)Angular momentum is conservedc)The angular velocity of earth about its own axis decreasesd)Duration of the day will increase.Correct answer is option 'A,B,C,D'. Can you explain this answer?.
If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-a)The moment of inertia of the earth about its own axis, increasesb)Angular momentum is conservedc)The angular velocity of earth about its own axis decreasesd)Duration of the day will increase.Correct answer is option 'A,B,C,D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-a)The moment of inertia of the earth about its own axis, increasesb)Angular momentum is conservedc)The angular velocity of earth about its own axis decreasesd)Duration of the day will increase.Correct answer is option 'A,B,C,D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-a)The moment of inertia of the earth about its own axis, increasesb)Angular momentum is conservedc)The angular velocity of earth about its own axis decreasesd)Duration of the day will increase.Correct answer is option 'A,B,C,D'. Can you explain this answer?.
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If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-a)The moment of inertia of the earth about its own axis, increasesb)Angular momentum is conservedc)The angular velocity of earth about its own axis decreasesd)Duration of the day will increase.Correct answer is option 'A,B,C,D'. Can you explain this answer?, a detailed solution for If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-a)The moment of inertia of the earth about its own axis, increasesb)Angular momentum is conservedc)The angular velocity of earth about its own axis decreasesd)Duration of the day will increase.Correct answer is option 'A,B,C,D'. Can you explain this answer? has been provided alongside types of If the ice on the polar caps of the earth melts then which of the following statement is/are correct:-a)The moment of inertia of the earth about its own axis, increasesb)Angular momentum is conservedc)The angular velocity of earth about its own axis decreasesd)Duration of the day will increase.Correct answer is option 'A,B,C,D'. Can you explain this answer? theory, EduRev gives you an
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