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Work done by the centripetal force is:
(a) zero
(b) infinity
(c) more than zero
(d) none of these
As known, for the work done - (a). There must be an acting force (b). and there must be a displacement caused by the acted force.
A centripetal force always acts towards the center of the circular track(path), so there is no displacement caused by the acted centripetal force.
So, the work done is zero.
Therefore, option (a) is correct.
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