Two prticles A and B having equal charges, after being accelerated through the same potential difference enter into a ragion of uniform magnetic field and the particles describe circular paths of radii `R_(1) "and"R_(2)` respectively. The ratio of the masses of A and B is

Options

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