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Two masses of 1g and 9g are moving with equal kinetic energies. The ratio of the magnitudes of their respective linear momenta is

1. 1 : 9
2. 9 : 1
3. 1 : 3
4. 3 : 1

Correct answer: 1 : 3

Solution

Kinetic energy is given by KE = p²/2m, where p is momentum and m is mass. For equal KE, p² is proportional to m. Thus, the ratio of momenta is √(1g) : √(9g) = 1 : 3.

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