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NDA 2022 GAT · General Knowledge · Motion, Forces and Gravitation · medium

A body moves in a circle with uniform speed. The work done by the centripetal force in one complete revolution is

Single correct option

A body moves in a circle with uniform speed. The work done by the centripetal force in one complete revolution is
  1. A. equal to force times circumference
  2. B. equal to force times radius
  3. C. negative
  4. D. zero
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Answer: (D) zero

Work is F.d cos(theta). The centripetal force always points to the centre while the displacement at each instant is along the tangent, so the angle is 90 degrees and the work is zero. Kinetic energy does not change, which confirms it.
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