A particle of mass M and charge q is released from rest in a region of uniform electric field of magnitude E . After a time t, the distance travelled by the charge is S ad the kinetic energy attained by the particle is T. Then , the ratio T/S

Options

A. remains constant with time t
B. varies linearly with the mass M of the particle
C. is independent of the charge q
D. is independent of the magnitude of the electric field E.

Answer

a

Explanation

The force acting on a particle of maas M and charge q is moving in uniform electric field is given by `F=qEorMa=qE`
`rArra=(qE)/(M)andv=(qE)/(M)t`
Using , `S=ut+(1)/(2)at^(2)`
`S=(1)/(2)((qE)/(M))t^(2)(becauseu=0)`
Now , kinetic energy of particle,
`T=(1)/(2)Mv^(2)=(1)/(2)M((qE)/(M)t)^(2) " " (becausea=(qE)/(M)t)`
`therefore(T)/(S)=((1)/(2)M((qE)/(M))^(2)t^(2))/((1)/(2)((qE)/(M))t^(2))`
`(T)/(S)=qE`.