Two bodies of masses m and 2m have same mo

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Two bodies of masses m and $2m$ have same momentum. Their respective kinetic energies ${E_1}$ and ${E_2}$ are in the ratio

A

$1:2$

B

$2:1$

C

$1:\sqrt 2 $

D

$1:4$

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 $E \propto \frac{1}{m}$
 $\frac{{{E_1}}}{{{E_2}}} = \frac{{{m_2}}}{{{m_1}}} = \frac{{2m}}{m} = \frac{2}{1}$