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Question

A solid sphere and a hollow sphere of the same material and of a same size can be distinguished without weighing

A
by determining their moments of inertia about their coaxial axes
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B
by rolling them simultaneously on an inclined plane
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C
by rotating them about a common axis of rotation
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D
by applying equal torque on them
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Solution

The correct option is B by rolling them simultaneously on an inclined plane
The velocity of a rolling body is inversely proportional to the moment of inertia.
Since the moment of inertia for a hollow sphere is more than that of a solid sphere, the solid sphere rolls down faster than a hollow sphere.
Hence, Option B is correct

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