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JEE Main2016PhysicsWork, Power and EnergyActual

A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t is given by n 2 R t 2 , where n is a constant. The power delivered to the particle by the force acting on it, is :

Options

  1. A1 2 M n 2 R 2 t 2
  2. BM n 2 R 2 t
  3. CM n R 2 t 2
  4. DM n R 2 t

Correct answer

B. M n 2 R 2 t

Step-by-step solution

a c = v 2 R = n 2 R t 2 v = n R T a t = d v d t = n R Power = M a t v = M   n R   n R t = M n 2 R 2 t

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