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A gun fires a small bullet with kinetic energy K. Then, kinetic energy of the gun while recoiling is

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more than K

less than K

$\sqrt{K}$

answer is C.

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Detailed Solution

After firing, the momentum of gun and bullet is same.

Therefore, by the relation, $K = \frac{p^{2}}{2 m}$

We have, $K \propto \frac{1}{m}$ (As p is same)

As, the mass of gun is greater, hence its kinetic energy will be less.

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