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

Answer

b

Explanation

`F=qE`
`a= (f)/(m)= (qE)/(m)`
`v= at= (qEt)/(m)`
Kinetic energy `= 1/2m[(qEt)/(m)]^(2)=(E^(2)q^(2)t^(2))/(2m)`