The masses of two bodies are in the ratio 5 : 6 and their velocities are in the ratio 1 : 2. Then their linear momentum will be in the ratio

5 : 6

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1 : 2

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12 : 5

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5 : 12

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Solution

The correct option is D 5 : 12
$\frac{m_{1}}{m_{2}} = \frac{5}{6}$
$\frac{v_{1}}{v_{2}} = \frac{1}{2}$
We have linear momentum(p) $= m a s s \times v e l o c i t y$
$\frac{P_{1}}{P_{2}} = \frac{m_{1} v_{1}}{m_{2} v_{2}} = \frac{5}{6} \times \frac{1}{2} = \frac{5}{12}$

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