Two bodies of mass 4g and 25g are moving with equal kinetic energies. The ratio of magnitude of their linear momentum is

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Solution

Q.
Two bodies of mass 4g and 25g are moving with equal kinetic energies. The ratio of magnitude of their linear momentum is [2024]

1 3 : 5

2 5 : 4

3 2 : 5

4 4 : 5

Ans.
(3)

$\frac{P_{1}^{2}}{2 m_{1}} = \frac{P_{2}^{2}}{2 m_{2}}$

$\frac{P_{1}}{P_{2}} = \sqrt{\frac{m_{1}}{m_{2}}} = \frac{2}{5}$

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