Question

Two particles X and Y having equal charges, 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 the Y is

• A. $(R1/R2{)}^{1/2}$
• B. $R1/R2$
• C. $(R1/R2{)}^2$
• D. $R2/R1$

Answer 1

Answer: (C)

$(R1/R2{)}^2$

work done on each particle =qV

where V is potential difference and q is charge.

assuming particle starts from rest.The final kinetic energy will be

let magnetic feild be B then

magnetic force on each particle will be

this magnetic force is equal to centripetal force. Therefore

putting these values in equation 1 we get