Two particles `X` and `Y` with equal charges, after being accelerated throuhg 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_(2)/R_(1)`
C. `(R_(1)/R_(2))^(2)`
D. `R_(1)/R_(2)`

Answer

C

Explanation

`qV=1/2mv^(2)`
`R=(mv)/(qB)=((msqrt(2qV))/m)/(qB)=sqrt((2mV)/(qB^(2)))`
`R_(1)/R_(2)=sqrt(m_(1)/m_(2))`
`m_(1)/m_(2)=((R_(1))/R_(2))^(2)`