Two particles of equal charges after being accelerated through the same potential difference enter in a uniform transverse magnetic field and describe circular paths of radii `R_(1) and R_(2)`. Then the ratio of their respective masses `(M_(1)//M_(2))" is"`

Options

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

Answer

B

Explanation

`R=(mv)/(qb)` and `mv=sqrt(2mqv):. R=(sqrt(mqv))/(qB)impliesR prop sqrt(m)implies(M_(1))/(M_(2))=((R_(1))/(R_(2)))^(2)`