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  • 1(current)
Q. No.
Given below are two statements: 
Assertion (A): If the sun were to 'suddenly' be removed, then the earth would continue to move around in its orbit.
Reason (R): Angular momentum of a system of particles is conserved when there is no external torque.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Angular Momentum |
 59%
Level 3: 35%-60%
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A particle of mass \(m\) moves with a constant velocity along \(3\) different paths, \(DE, OA\) and \(BC\). Which of the following statements is not correct about its angular momentum about point \(O\)?

                     

1. It is zero when it is at \(A\) and moving along \(OA\).
2. The same at all points along the line \(DE\).
3. Of the same magnitude but oppositely directed at \(B\) and \(D\).
4. Increases as it moves along the line \(BC\).
Subtopic:  Angular Momentum |
 55%
Level 3: 35%-60%
Hints
Given below are two statements: 
Assertion (A): The angular momentum of system always remains constant. 
Reason (R): For a system, \(\tau_{ext} = {dL \over dt} = 0\)
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
Subtopic:  Angular Momentum |
Level 3: 35%-60%
Hints
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Given below are two statements: 
Assertion (A): If polar ice melts, days will be longer.
Reason (R): Moment of inertia increases and thus angular velocity decreases.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Angular Momentum |
 79%
Level 2: 60%+
Hints
Given below are two statements: 
Assertion (A): For a system of particles under a central force field, the total angular momentum is conserved.
Reason (R): The torque acting on such a system is zero.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Angular Momentum |
 85%
Level 1: 80%+
Hints
Given below are two statements: 
Assertion (A): If the ice cap of the pole melts, the day length will shorten.
Reason (R): Ice flows towards the equator and decreases the moment of inertia of the earth. This increases the frequency of rotation of the earth.
  
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Angular Momentum |
Level 3: 35%-60%
Hints
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Given below are two statements: 
Assertion (A): A person standing on a rotating platform suddenly stretches his arms, causing the platform to slow down.
Reason (R): Angular momentum is conserved.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Angular Momentum |
 78%
Level 2: 60%+
Hints
Given below are two statements:
Assertion (A): The period of Earth’s rotation undergoes very small, irregular (sporadic) variations.
Reason (R): The displacement of large air masses in the Earth’s atmosphere alters its moment of inertia, thereby causing slight changes in its rotation period.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. Both (A) and (R) are False.
Subtopic:  Angular Momentum |
 83%
Level 1: 80%+
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