A body of mass 8 kg and another of mass 2 kg are moving with equal kinetic energy. The ratio of their momentum will be

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$1 : 1$

$2 : 1$

$1 : 4$

$4 : 1$

answer is B.

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Detailed Solution

$K . E = \frac{p^{2}}{2 m}; K_{1} = \frac{p_{1}^{2}}{2 (8)}; K_{2} = \frac{p_{2}^{2}}{2 (2)}; Given K_{1} = K_{2}; \frac{p_{1}^{2}}{16} = \frac{p_{2}^{2}}{4}; p_{1}^{2} = 4 p_{2}^{2}; \frac{p_{1}}{p_{2}} = 2$

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