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

Options

A. `(Eq^2m)/(2t^2)`
B. `(2E^2 t^2)/(2t^2)`
C. `(E^2 q^2 t^2)/(2m)`
D. `(Eqm)/t`

Answer

C

Explanation

`K=1/2mv^2=1/2m((qE)/mt)^2implies K=(q^2E^2t^2)/(2m)`