An `alpha` particle and a proton travel with same velocity in a magnetic field perpendicular to the direction of their veloccites find the ratio of the radii of their circular path

Options

A. `4:1`
B. `1:4`
C. `2:1`
D. `1:2`

Answer

C

Explanation

`r = (mv)/(q B) implies (r_(0))/(r_(p)) = (m_(alpha))/(q_(alpha)) = (4)/(1) xx (1)/(2) = (2)/(1)`