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Question

Two bodies of masses 3 kg and 6 kg possess kinetic energies of 6 J and 10 J respectively. What is the ratio of their linear momentum?

A
310
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B
35
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C
103
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D
53
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Solution

The correct option is A 310
Let KE be the kinetic energy and P is the linear momentum

The relation between kinetic energy and linear momentum is given by KE=P22m

So, for body of mass 3 kg, given K.E=6 J
KE1=P212m
6=P212×3 .
P1=6.....(i)

Similarly for body of mass 6 kg, given K.E=10 J

10=P222×6
P2=120 ...(ii)

Dividing (i) by (ii)

P1P2=6120=310

Hence option A is the correct answer.

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