Question

Two particles 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 R₁ and R₂ respectively. The ratio of the mass of X to that of Y is
(a) $\sqrt{\frac{R_{1}}{R_{2}}}$(b) $\bigg \lgroup \frac{R_{2}}{R_{1}}\bigg \rgroup ^{2}$(c) $\bigg \lgroup \frac{R_{1}}{R_{2}}\bigg \rgroup ^{2}$(d) $\sqrt{\frac{R_{2}}{R_{1}}}$

Answer 1

You forgot to mention their velocity in magnetic field.

If their velocity is same then

by using

R = mv/bq

for Particle X

R(x) = M(x)v/ bq

and for

particle Y

R(y) = M(y)v/bq

Then

R(x)/R(y) = M(x)/M(y).