Two bodies of masses m and $2m$ have same momentum. Their respective kinetic energies ${E_1}$ and ${E_2}$ are in the ratio
$1:2$
$2:1$
$1:\sqrt 2 $
$1:4$
Two bodies of masses m and $2m$ have same momentum. Their respective kinetic energies ${E_1}$ and ${E_2}$ are in the ratio
$E = \frac{{{P^2}}}{{2m}}.$ If momentum are same then $E \propto \frac{1}{m}$
$\frac{{{E_1}}}{{{E_2}}} = \frac{{{m_2}}}{{{m_1}}} = \frac{{2m}}{m} = \frac{2}{1}$