Two bodies of masses $2m$ and $m$ have their K.E. in the ratio $8 : 1$, then their ratio of momenta is
Two bodies of masses $2m$ and $m$ have their K.E. in the ratio $8 : 1$, then their ratio of momenta is
$1:1$
$2:1$
$4:1$
$8:1$
Two bodies of masses $2m$ and $m$ have their K.E. in the ratio $8 : 1$, then their ratio of momenta is
$p = \sqrt {2mE} $
$\frac{{{p_1}}}{{{p_2}}} = \sqrt {\frac{{{m_1}}}{{{m_2}}}\frac{{{E_1}}}{{{E_2}}}} = \sqrt {\frac{2}{1} \times \frac{8}{1}} = \frac{4}{1}$