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  4. Two particles having masses 4 g and 16 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.

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Q. Two particles having masses $4 g$ and $16 g$ 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______.

JEE MainJEE Main 2021Work, Energy and Power

Solution:

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