Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular path of radius `R_1` and `R_2` respectively. The ratio of mass of X to that of Y is :

Options

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

Answer

C

Explanation

Since , qvB = `(mv^(2))/ (r ) = (mv)/(qB) = sqrt((2mk)/(q^(2) B^(2))) = (1)/(B) sqrt((2mV)/(q))`
`r prop sqrtm implies (m_(1))/(m_(2)) = ((R_(1))/(R_(2)))^(2)`