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Two bodies with kinetic energies in the ratio 4 : 1 are moving with equal linear momentum. The ratio of their masses is

1. 1 : 2
2. 1 : 1
3. 4 : 1
4. 1 : 4

Correct answer: 1 : 2

Solution

Kinetic energy is given by KE = p²/2m, where p is momentum and m is mass. Since the momenta are equal, the ratio of kinetic energies (KE₁/KE₂ = 4/1) implies m₂/m₁ = 2/1. Thus, the ratio of their masses is 1:2.

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