Question

Two particles having masses $4\text{g}$ and $16\text{g}$ respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is $n:2$. The value of $n$ will be_____.

Answer 1

Relation b/w kinetic energy & momentum is
$p=\sqrt{2mKE}$
$\left(KE\text{is same}\right)$
$\frac{p_1}{p_2}=\sqrt{\frac{m_1}{m_2}}$
$\frac{n}{2}=\sqrt{\frac{4}{16}}$
$n=1$