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

`R=(sqrt(2qVm))/(Bq)` or `R prop sqrt(m)` or `(R_(1))/(R_(2))=sqrt((m_(X))/(m_(Y)))` or `(m_(x))/(m_(y))=((R_(1))/(R_(2)))^(2):.`