Question

Two masses of 1 gm and 4 gm are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

Moderate

Solution

$P = \sqrt{2 mE} .$ If E are same then $P \propto \sqrt{m}$
$\Rightarrow \frac{P_{1}}{P_{2}} = \sqrt{\frac{m_{1}}{m_{2}}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$

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