A charged particle of mass m and charge e is released from rest in an electric field E. If kinetic energy of particle after time t is `E_k` and linear momentum is p, then

Options

A. `p=Eet`
B. `p=2eEt`
C. `E_K=(e^2E^2t^2)/(2m)`
D. `E_K=(e^2E^2t^2)/(m)`

Answer

A, C

Explanation

(a) As `v=u+at`, `u=0`
`v=at` As `a=(eE)/(m)`
`:. v=(eEt)/(m)` and `p=mv` so `p=(meEt)/(m)=eEt`
(c) `E_k=(P^2)/(2m)=(e^2E^2t^2)/(2m)`