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_2//R_1`
C. `(R_1//R_2)^(2)`
D. `R_1//R_2`

Answer

c

Explanation

`R=(sqrt(2qVm))/(Bq) or Rprop sqrtm`
`(R_1)/(R_2)=sqrt((m_X)/(m_Y)) or (m_X)/(m_Y)=((R_1)/(R_2))^2`