An electron of mass `m_(e )` initially at rest moves through a certain distance in a uniform electric field in time `t_(1)`. A proton of mass `m_(p)` also initially at rest takes time `t_(2)` to move through an equal distance in this uniform electric field.Neglecting the effect of gravity, the ratio of `t_(2)//t_(1)` is nearly equal to

Options

A. `1`
B. `sqrt((m_(e ))/(m_(p)))`
C. `sqrt((m_(p))/(m_(e)))`
D. `1836`

Answer

3

Explanation

`s = (1)/(2) a_(1) t_(1)^(2) = (1)/(2) a_(2) t_(2)^(2)`
`(t_(2))/(t_(1)) = sqrt((a_(1))/(a_(2))) = sqrt((eE//m_(e))/(eE//m_(p))) = sqrt((m_(p))/(m_(e ))`