Q. Two masses of $1g$ 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) $P = \sqrt{2mE}$. If $E$ are same then $P \propto \sqrt{m}$
$\Rightarrow \frac{P_{1}}{P_{2}} = \sqrt{\frac{m_{1}}{m_{2}}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.