An electron and a proton, starting from rest, are accelerated through an electric potential difference of the same magnitude. In the process, the electron acquires a speed ve, while the proton acquires a speed vp. Find the ratio ve/vp. ve/vp =

42.84

Explanation:

Let's take to be the proton's velocity and to be the electron's velocity and to be the potential difference through which both the charges are accelerated  and further taking  be the charge of proton and electron.

Using the given values:

The expression for the work done is

Solving for the kinetic energy equation:

Thus the  ratio ve/vp. ve/vp =42.84