Question:
Two particles having masses $4 \mathrm{~g}$ and $16 \mathrm{~g}$ respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is $\mathrm{n}: 2$. The value of $\mathrm{n}$ will be_________.
Solution:
$\frac{\mathrm{p}_{1}^{2}}{2 \times 4}=\frac{\mathrm{p}_{2}^{2}}{2 \times 16}$
$\frac{p_{1}}{p_{2}}=\frac{1}{2}$