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Question

A sphere cannot roll without slipping on a

A
rough horizontal surface
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B
horizontal surface (rough or smooth)
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C
rough inclined surface
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D
smooth inclined surface
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Solution

The correct option is D smooth inclined surface
On smooth inclined plane, the speed of body will change due to gravity but there is not torque to change angular velocity of the body. Hence a body cannot roll without slipping on a smooth inclined surface.

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