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 and 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

`S=1/2at^2=1/2(qE)/(M)t^2`
`T =1/2 mv^2=1/2M[(qE)/Mt]^2 =(q^2E^2t^2)/(2M)`
T/S = qE.