Two particles having masses

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:

$\frac{\mathrm{p}_{1}^{2}}{2 \times 4}=\frac{\mathrm{p}_{2}^{2}}{2 \times 16}$

$\frac{p_{1}}{p_{2}}=\frac{1}{2}$

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