Two particle X and Y having equal charge, after being accelerated through the same potential difference enter a region of uniform magnetic field and describe circular paths of radii `R_1 and R_2` respectively. The ratio of the mass of X to that of Y is

Options

A. `((R_(1))/(R_(2)))^((1)/(2))`
B. `(R_(1))/(R_(2))`
C. `((R_(1))/(R_(2)))^(2)`
D. `(R_(2))/(R_(1))`

Answer

C

Explanation

`R = (sqrt(2mK))/(Bq), R prop sqrt(m)`
`(R_(1))/(R_(2)) = sqrt((m_(X))/(m_(Y))) rArr (m_(X))/(m_(Y)) = ((R_(1))/(R_(2)))^(2)`