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JEE Main 2010 (AIEEE) · Nuclear Reactions & Q-value

Nuclear Reactions & Q-value question from JEE Main 2010 (AIEEE)

Q19JEE Main 2010 · AIEEEDifficult

Nuclear Reactions & Q-value

A nucleus of mass $M + \Delta m$ is at rest and decays into two daughter nuclei of equal mass $\frac{M}{2}$ each. Speed of light is $c.$

The binding energy per nucleon for the parent nucleus is $E_{1}$ and that for the daughter nuclei is $E_{2}.$ Then

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Answer: (c)

Mass decreases ( $\Delta m$ converts to energy), so the decay releases energy.
Energy is released only if the products are more tightly bound per nucleon.
So the answer is (c) $E_2 > E_1$ .

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