An electron of mass me, initially at rest, moves through a certain distance in a uniform electric field in time t1. A proton of mass mp, also initially at rest, takes time t2 to move through an equal distance in this uniform electric field. Neglecting the effect of gravity, the ratio $\frac{t_2}{t_1}$ is equal to
Answer & explanation
Correct answer: option 3
Acceleration in uniform electric field
$a=\frac{q E}{m}$
If t is time for a distance d,
$d=\frac{1}{2}\left(\frac{q E}{m}\right) t^2$
or t = $\sqrt{\frac{2 d m}{q E}}$