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Question

Two bodies A and B of masses 1 and 4 kg respectively have equal linear momentum. The ratio of their kinetic energies is?

A
1:4
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B
1:2
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C
4:1
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D
1:16
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Solution

The correct option is C 4:1
Kinetic energy is given as E=12mv2
Momentum is given as P=mv
From the above two equations it can be written as E=12mP2P=2mE
P1P2=2m1E12m2E2
1=E14E2
4=E1E2
E1:E2=4:1

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