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Question

Two bodies of masses 1 kg and 4 kg have equal kinetic energies. The ratio of their momentum is:

A
4:1
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B
1:4
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C
2:1
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D
1:2
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Solution

The correct option is D 1:2
For body I:K.E1=12m1v21=12×1×v21
K.E1=V212
For body II :- K.E2=12m2v22=12×4×v22=2v22
K.E1=K.E2v212=2v22v1=2v2
Now, P1P2=m1v1m2v2=1×2v24×v2=12
P1:P2 is 1:2

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