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Question

Two bodies A and B of same mass are moving with velocities v and 2v respectively. What is the ratio of their momentum ?

A
3:2
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B
2:1
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C
1:2
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D
1:1
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Solution

The correct option is B 1:2
(i) Inertia - Inertia depends on mass, And since the mass of the two body is the same, therefore their inertia will be in the ratio of 1 : 1
(ii) Momentum - p=mv
From, above we see momentum is directly proportional to mass and velocity.
Since mass is equal, in this case velocity with determine the ratio of momentum.
Velocity of body A=v
Velocity of body B=2v
So. its ratio = 1 : 2

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