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Manipal MET2017PhysicsElectrostatics

A charged particle of mass m and charge q is released from rest in a electric field of magnitude E . The kinetic energy of the particle after t second is

Options

  1. Aq E t 2 m
  2. Bq^2 E^2 t 2 m
  3. Cq^2 E^2 t^2 m
  4. Dq^2 E^2 t^2 2 m

Correct answer

D. q^2 E^2 t^2 2 m

Step-by-step solution

Force on a particle with charge q in electric field E is aligned F & =q E=m a a & = q E m aligned here a= v t v t = q E m v= q E t m Also, kinetic energy is due to velocity (v) is K= 1 2 m v^2= 1 2 m ( q E t m )^2= q^2 E^2 t^2 2 m

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