Question

Two bodies A and B having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of their linear momenta is then

Moderate

Solution

$P = \sqrt{2 mE} ∴ \frac{P_{1}}{P_{2}} = \sqrt{\frac{m_{1}}{m_{2}}}$ (if E = constant)
$∴ \frac{P_{1}}{P_{2}} = \sqrt{\frac{3}{1}}$

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