Q. Two bodies with kinetic energies in the ratio of $4\ :1$ are moving with equal linear momentum. The ratio of their masses is
A) $1\ :2$
B) $1\ :1$
C) $4\ :1$
D) $1\ :4$
Explanation
(d) $E = \frac{p^{2}}{2m}\ \therefore m \propto \frac{1}{E}$ [If momentum are constant]
$\frac{m_{1}}{m_{2}} = \frac{E_{2}}{E_{1}} = \frac{1}{4}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.