Q. The velocity of two $\alpha$-particles $A\ and\ B$ in a uniform magnetic field is in the ratio of 1 : 3. They move in different circular orbits in the magnetic field. The ratio of radius of curvatures of their paths is
A) 1 : 2
B) 1 : 3
C) 3 : 1
D) 2 : 1
Explanation
(b) $r = \frac{mv}{Bq}\ ie,\ r\ \propto v\ \ \ or\ \ \ \frac{r_{1}}{r_{2}\ } = \frac{v_{1}}{v_{2}} = \frac{1}{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.