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 |
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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) Momentum of the system is conserved.
(Q) Kinetic energy of the system does not change after the collision.
(R) Angular momentum of the system is conserved.

1.  P, Q, R are true.
2.  P, R are true.
3.  Only R is true.
4.  Only P is true.
Subtopic:  Angular Momentum |
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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 |
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Assertion: The angular momentum of system always remains constant. 
Reason: For a system, \(\tau_{ext} = {dL \over dt} = 0\)
1. Both assertion and reason are correct and reason is the  correct explanation of assertion 
2. Both Assertion and Reason are correct but reason is not the correct explanation of assertion 
3. Assertion is correct and the reason is incorrect 
4. Assertion is incorrect and the reason is correct 
 
Subtopic:  Angular Momentum |
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Assertion: If polar ice melts, days will be longer.
Reason: Moment of inertia increases and thus angular velocity decreases.
1. Both assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

 
Subtopic:  Angular Momentum |
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Assertion: For a system of particles under a central force field, the total angular momentum is conserved.
Reason: The torque acting on such a system is zero.

1. Both assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

 
Subtopic:  Angular Momentum |
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Assertion: If the ice cap of the pole melts, the day length will shorten.
Reason: 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 assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.

 
Subtopic:  Angular Momentum |
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Assertion: A person standing on a rotating platform suddenly stretched his arms. The platform slows down.
Reason: This happens as angular momentum is conserved.
 
1. Both assertion and reason are true and the reason is the correct explanation of assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.
 
Subtopic:  Angular Momentum |
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Assertion: There are very small sporadic changes in the period of rotation of the earth.
Reason: 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 assertion and reason are true and the reason is the correct explanation of the assertion.
2. Both assertion and reason are true but the reason is not the correct explanation of the assertion.
3. Assertion is true but the reason is false.
4. Both assertion and reason are false.
 
Subtopic:  Angular Momentum |
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