Assertion :In case of bullet fired from gun, the ratio of kinetic energy of gun and bullet is equal to ratio of mass of bullet and gun. Reason: In firing, momentum is conserved.

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
In case of firing of bullet from gun, the initial momentum of the system is zero. Thus the finally the momentum of both bullet and gun is same and in opposite directions.
The kinetic energy of the bodies are given by $K = \frac{1}{2} m v^{2} = \frac{P^{2}}{2 m}$
Thus for same momentum, the bodies have kinetic energies in the inverse ratio of their masses.

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