Work Energy and Power - Result Question 31

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

[1989]

(a) $1: 2$

(b) $1: 1$

(c) $2: 1$

(d) $4: 1$

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Answer:

Correct Answer: 34. (c)

Solution:

  1. (c) $E=\frac{1}{2} m v^{2}$. Hence, $m v=(2 mE)^{1 / 2}$.

For same KE, momentum $\propto \sqrt{m}$.

Hence, the ratio is $2: 1$.