Q. Two bodies of mass $m$ and $4m$ are moving with equal linear momentum. The ratio their kinetic energies is
A) 1 : 4
B) 4 : 1
C) 1 : 1
D) 1 : 12
Explanation
(b) $\frac{K_{1}}{K_{2}} = \frac{\frac{p_{1}^{2}}{2m_{1}}}{\frac{p_{2}^{2}}{2m_{2}}} = \frac{m_{2}}{m_{1}} = \frac{4m}{m} = 4:1\ \ \ (\because p_{1} = p_{2})$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.