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A 4 kg mass and 1 kg are moving with equal kinetic energies. The ratio of the magnitudes of their linear momenta is

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

Correct answer: 2 : 1

Solution

Kinetic energy is given by KE = p²/2m, where p is momentum and m is mass. For equal KE, p ∝ √m. Thus, the ratio of their momenta is √4 : √1 = 2 : 1.

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