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Relative Velocity

Find the rati...

Question

Find the ratio of velocities of two bodies if the momenta of both are the same and the masses are in the ratio of 1 : 2.

A

1 : 2

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B

2 : 1

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C

1 : 4

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D

4 : 1

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Solution

The correct option is B 2 : 1
P = $m v$
$m 1 v 1$ = $m 2 v 2$
$\frac{v 1}{v 2}$ = $\frac{m 2}{m 1}$ = ${\frac{1}{2}}^{- 1}$ = $2 : 1$
[Momentum (P) is same]

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