Two bodies with kinetic energies in the ra

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Two bodies with kinetic energies in the ratio of $4 : 1$ are moving with equal linear momentum. The ratio of their masses is

A

$1:2$

B

$1:1$

C

$4:1$

D

$1:4$

Two bodies with kinetic energies in the ratio of $4 : 1$ are moving with equal linear momentum. The ratio of their masses is

$E = \frac{{{p^2}}}{{2m}}$
$m \propto \frac{1}{E}$ (If momentum are constant)
$\frac{{{m_1}}}{{{m_2}}} = \frac{{{E_2}}}{{{E_1}}} = \frac{1}{4}$