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Two bodies $A$ and $B$ of the same mass are moving velocities $v$ and, $3 v$ respectively. Momentum will be in ratio of

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1 : 3

3 : 1

1 : 1

1 : 9

answer is A.

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Detailed Solution

Two bodies

A

and

B

of the same mass are moving velocities

v

and,

3 v

respectively. Momentum will be in ratio of

1 : 3

.
Given that
Mass of the two bodies equal,
so the ratio will be

1 : 1

and velocity in the ratio

1 : 3 .

\Rightarrow P = m \times v

{\Rightarrow P}_{1} = m \times v

{\Rightarrow P}_{2} = m \times 3 v

\Rightarrow \frac{P_{1}}{P_{2}} = \frac{m \times v}{m \times 3 v}

= \frac{1}{3}

The ratio of momentum will be 1:3

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