Question

An α-particle and a proton are accelerate at same potential difference from rest. What will be the ratio of their final velocity?

Options

• `sqrt(2) : 1`

• 1 : 1

• `1 : sqrt(2)`

• 1 : 2

Answer 1

`1 : sqrt(2)`

Explanation:

As ev = `1/2` mv²

v = `sqrt((2ev)/m)`

`(Valpha)/(Vp) = sqrt(((e/m)alpha)/((e/m)p)) = 1/sqrt(2)`