Two particles of masses 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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1:2

4:1

1:16

$\sqrt{2} : 1$

answer is D.

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Detailed Solution

$K . E = \frac{ρ^{2}}{2 m} K . E_{1} = K . E_{2} \frac{ρ_{1}^{2}}{m_{1}} = \frac{ρ_{2}^{2}}{m_{2}} \frac{ρ_{1}}{ρ_{2}} = \sqrt{\frac{m_{1}}{m_{2}}} = \frac{1}{2}$

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