Question

Two bodies of masses 2m and m have their K.E. in the ratio 8 : 1, then their ratio of momenta is

Moderate

Solution

$p = \sqrt{2 mE} ∴ \frac{p_{1}}{p_{2}} = \sqrt{\frac{m_{1}}{m_{2}} \frac{E_{1}}{E_{2}}} = \sqrt{\frac{2}{1} \times \frac{8}{1}} = \frac{4}{1}$

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