Thank you for reporting, we will resolve it shortly
Q.
Two bodies of masses $m$ and $2m$ have equal kinetic energies. The ratio of their linear momenta is
Rajasthan PMTRajasthan PMT 2007Kinetic Theory
Solution:
Kinetic energy is the energy possessed by a body due to its velocity.
$K=\frac{1}{2} m v^{2} \ldots$(i)
Momentum $(p)=$ mass $(m) \times$ velocity $(v) \ldots$(ii)
From Eqs. (i) and (ii), we get
$ p =\sqrt{2 m K} $
Given, $ m_{1}=m$, and $m_{2}=2 m $
$\therefore \frac{p_{1}}{p_{2}}=\frac{1}{\sqrt{2}} $