Q. Two bodies of masses $m_{1}$ and $m_{2}$ have equal kinetic energies. If $p_{1}$ and $p_{2}$ are their respective momentum, then ratio $p_{1}:\ p_{2}$ is equal to
A) $m_{1}:m_{2}$
B) $m_{2}:m_{1}$
C) $\sqrt{m_{1}}:\sqrt{m_{2}}$
D) $m_{1}^{2}:m_{2}^{2}$
Explanation
(c) $P = \sqrt{2mE}\ \therefore P \propto \sqrt{m}$ (if $E =$ const) $\therefore\frac{P_{1}}{P_{2}\ } = \sqrt{\frac{m_{1}}{m_{2}}}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.