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Rotational Inertia

Assertion A: ...

Question

Assertion (A): Moment of inertia of a rotating hollow sphere partially filled with water increases as its angular velocity increases.
Reason (R) : Distances of water particles from axis of rotation increases on increasing angular velocity of sphere.

Both A and R are true and R is correct explanation of A

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Both A and R are true and R is not correct explanation of A

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A is true and R is false

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A is false and R is true

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Solution

The correct option is C Both A and R are true and R is correct explanation of A
Moment of inertia of a rotating hollow sphere partially filled with water increases on increasing its angular velocity, because water will move away from the axis of rotation due to centrifugal force, and concentrate at the surface, due to which moment of inertia of the system will increase.

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