A body P has mass 2 m and velocity 5 v. Another body Q has mass 8 m and velocity 1.25 v. Find out the ratio of momentum of P and Q.

2:1

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1:1

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1:2

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3:2

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Solution

The correct option is A 1:1
The momentum is given as $M = m v$
Where, $m =$ mass of object,
$v =$ velocity of object
Momentum of first object $= 2 m \times 5 v = 10 m v$
Momentum of second object $= 8 m \times 1.25 v = 10 m v$ , taking the ratio of the magnitude of momentum of Ist and IInd objects $| p_{1} | : | p_{2} | = 1 : 1$
Hence, correct answer is B.

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A body P has mass 2 m and velocity 5 v. Another body Q has mass 8 m and velocity 1.25 v. Find out the ratio of momentum of P and Q.

The correct option is A 1:1The momentum is given as M=mvWhere, m= mass of object, v= velocity of objectMomentum of first object =2m×5v=10mvMomentum of second object =8m×1.25v=10mv, taking the ratio of the magnitude of momentum of Ist and IInd objects |p1|:|p2|=1:1 Hence, correct answer is B.