Work done by the centripetal force on a body of mass 'm' which is undergoing a uniform circular motion with a speed is ____ .

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{m v}^{2}

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zero

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\frac{{m v}^{2}}{2}

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Solution

The correct option is C zero
Work done by a moving body in a circular motion is zero. This is because the centripetal force on the body at any instant, is directed towards the center of circular path and direction of displacement at that instant is along the tangent drawn to the circular path 1.e normal to the direction of force on the body.
Numerically Work done = F.s Cos $θ$ = 0 (Since Cos 90 = 0).

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