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Question

A stone tied to one end of the string is revolved round a rod in such a way that the string winds over the rod and get shortened. In this process which of the following quantities remain constant?

A
Moment of inertia
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B
Momentum
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C
Angular momentum
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D
Kinetic energy
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Solution

The correct option is D Angular momentum
As the distance between the stone and the rotational axis is changing the moment of inertia thus changes. Momentum keeps on changing around the circular path. As the moment of inertia changes we see that the kinetic energy changes too. The angular momentum is the only conserved quantity since there is no external torque acting on the stone.

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