Two bodies of different masses m_1 and m_2

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Two bodies of different masses ${m_1}$ and ${m_2}$ have equal momenta. Their kinetic energies ${E_1}$ and ${E_2}$ are in the ratio

A

$\sqrt {{m_1}} :\sqrt {{m_2}} $

B

${m_1}:{m_2}$

C

${m_2}:{m_1}$

D

$m_1^2:m_2^2$

Two bodies of different masses ${m_1}$ and ${m_2}$ have equal momenta. Their kinetic energies ${E_1}$ and ${E_2}$ are in the ratio

$E = \frac{{{P^2}}}{{2m}}$ if bodies possess equal linear momenta then
$E \propto \frac{1}{m}$ i.e. $\frac{{{E_1}}}{{{E_2}}} = \frac{{{m_2}}}{{{m_1}}}$