Q. Two masses of 1 g and 4g are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is
A) 4 : 1
B) $\sqrt{2}\ :1$
C) 1 : 2
D) 1 : 16
Explanation
(c) $p = \sqrt{2mE_{k}}$
or $p \propto \sqrt{m}\ \ \ $[$\because E_{k}$ is given to be constant]
$\therefore\ \ \frac{P_{1}}{P_{2}} = \sqrt{\frac{m_{1}}{m_{2}}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.