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Question

A body of mass m1 moving at a constant speed undergoes an elastic collision with a body of mass m2 initially at rest., the ratio of the kinetic energies of masses m2 and m1 after the collision is

A
m1m2(m1m2)2
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B
2m1m2(m1m2)2
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C
2m1m2(m1m2)2
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D
4m1m2(m1m2)2
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Solution

The correct option is D 4m1m2(m1m2)2
KE of m2 afer collision = 12m2v22=12m2(2m1m1+m2)2u21.
KE of m1 afer collision = 12m1v21=12m1(m1m2m1+m2)2u21.
Dividing the two, we find that the correct choice is (d).

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