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Question

# Assertion :STATEMENT-1 : Work done by a force on a body whose center of mass does not move may be non-zero. Reason: STATEMENT-2: Work done by a force depends on the displacement of the centre of mass.

A
Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1
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B
Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1
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C
Statement-1 is True, Statement-2 is False
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D
Statement-1 is False, Statement-2 is True.
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Solution

## The correct option is C Statement-1 is True, Statement-2 is FalseWork done depends on displacement of point of application of force and not on displacement of center of mass. Hence statement-2 is false.As an example, if a ring is rotated about its center of mass by applying a tangential force, work is done but the center of mass of the ring does not move.

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