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A gun of mass $M$ , when empty, at rest on a smooth surface fires a shell of mass $m$ . The ratio of kinetic energy of the shell and gun after firing is : (Assume that shell is fired horizontally).

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$m / M$

$M^{2} / m^{2}$

$m^{2} / M^{2}$

M/m

answer is D.

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Detailed Solution

$k = \frac{p^{2}}{(2 m)} \Rightarrow \frac{k_{s}}{k_{g}} = \frac{m_{g}}{m_{s}} = \frac{M}{m}$

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