Q. If a proton, deuteron and $\alpha$-particle on being accelerated by the same potential difference enters perpendicular to the magnetic field, then the ratio of their kinetic energies is

A) $1\ :2\ :2$
B) $2\ :2\ :1$
C) $1\ :2\ :1$
D) $1\ :1\ :2$
Explanation

(d) Kinetic energy in magnetic field remains constant and it is $K = q\ V \Rightarrow K \propto q\ \lbrack V =$ constant]
$\therefore K_{p}:K_{d}:K_{\alpha} = q_{p}:q_{d}:q_{a} = 1:1:2$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.