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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 |
 58%
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A uniform rod of mass \(M\) and length \(L\) lies at rest on a smooth horizontal plane, as shown in the figure. A particle of mass \(m,\) moving with an initial velocity \(u\) strikes one end \((A)\) of the rod and stops. The initial velocity \(u\) is perpendicular to the length \((AB)\) of the rod.
              
Consider the following statements:
(P) The momentum of the system is conserved.
(Q) The kinetic energy of the system does not change after the collision.
(R) The angular momentum of the system is conserved.

Choose the correct option from the given ones:
1. P, Q, and R are true.
2. P and R are true.
3. Only R is true.
4. Only P is true.
Subtopic:  Angular Momentum |
 52%
From NCERT
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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 |
 54%
From NCERT
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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 |
From NCERT
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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%
From NCERT
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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 |
 84%
From NCERT
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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 |
From NCERT
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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%
From NCERT
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Given below are two statements: 
Assertion (A): There are very small sporadic changes in the period of rotation of the earth.
Reason (R): The shifting of large air masses in the earth's atmosphere produces a change in the moment of inertia of the earth causing its period of rotation to change.
 
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%
From NCERT
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