Work Power and Energy 5 Question 9

11. Two masses of $1 \mathrm{~g}$ and $4 \mathrm{~g}$ are moving with equal kinetic energies. The ratio of the magnitudes of their momenta is

(1980, 2M)

(a) $4: 1$

(b) $\sqrt{2}: 1$

(c) $1: 2$

(d) $1: 16$

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Answer:

Correct Answer: 11. (c)

Solution:

  1. $p=\sqrt{2 K m}$ or $p \propto \sqrt{m}$,

$\frac{m _1}{m _2}=\frac{1}{4} \Rightarrow \quad \therefore \quad \frac{p _1}{p _2}=\frac{1}{2}$



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