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

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4 : 1

$\sqrt{2}$ : 1

1 : 2

1 : 16

answer is C.

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Detailed Solution

$Kinetic energy in terms of momentum = \frac{P^{2}}{2 m} If kinetic energies are same then P \propto \sqrt{m} \frac{P_{1}}{P_{2}} = \sqrt{\frac{m_{1}}{m_{2}}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$

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