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NEET 2011 (AIPMT, Prelims) · Nuclear Reactions & Q-value

Nuclear Reactions & Q-value question from NEET 2011 (AIPMT, Prelims)

Q18NEET 2011 · AIPMT · PRELIMSMedium

Nuclear Reactions & Q-value

A radioactive nucleus of mass M emits a photon of frequency $v$ and the nucleus recoils. The recoil energy will be

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Answer: (b)

Photon momentum $p = \dfrac{h\nu}{c}$ ; the nucleus recoils with equal momentum.
$K = \dfrac{p^2}{2M} = \dfrac{h^2\nu^2}{2Mc^2}$
So the answer is (b) $\dfrac{h^2\nu^2}{2Mc^2}$ .

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