m ও 3m ভরের দুটি বস্তুর গতিশক্তির অনুপাত $\text{2:1}$ হলে তাদের রৈখিক ভরবেগের অনুপাত কত?

$K=\frac{p^{2}}{2 m}$

$K_{1}=\frac{p_{1}^{2}}{2 m_{1}}=\frac{p_{1}^{2}}{2 m}$

$K_{2}=\frac{p_{2}^{2}}{2 m_{2}}=\frac{p_{2}^{2}}{2 \times 3 m}=\frac{p_{2}^{2}}{6 m}$

$\frac{K_{1}}{K_{2}}=\frac{\frac{p_{1}^{2}}{2 m}}{\frac{p_{2}^{2}}{6 m}}=\frac{p_{1}^{2}}{2 m} \times \frac{6 m}{p_{2}^{2}}=\frac{3 p_{1}^{2}}{p_{2}^{2}}$

$\frac{K_{1}}{K_{2}}=\frac{2}{1} \text { : }$$\begin{array}{c} \frac{3 p_{1}^{2}}{p_{2}^{2}}=\frac{2}{1} \\ 3 p_{1}^{2}=2 p_{2}^{2} \\ \frac{p_{1}^{2}}{p_{2}^{2}}=\frac{2}{3} \\ \frac{p_{1}}{p_{2}}=\sqrt{\frac{2}{3}}=\frac{\sqrt{6}}{3} \end{array}$