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(A) Energy is released in a nuclear reaction if the total binding energy of the products is greater than the total binding energy of the reactants. Th

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$(A)$ and $(D)$

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(A) Energy is released in a nuclear reaction if the total binding energy of the products is greater than the total binding energy of the reactants. That is,$\Delta E = (BE)_{	ext{final}} - (BE)_{	ext{initial}} > 0$.From the graph:For $1 For $100 For $200 $(A)$ Fusion of two nuclei with $A \approx 50$ (each $B/A = 2$) results in a nucleus with $A \approx 100$ $(B/A = 8)$. Since the final $B/A$ is higher,energy is released. Correct.$(B)$ Fusion of two nuclei with $A \approx 75$ (each $B/A = 2$) results in a nucleus with $A \approx 150$ $(B/A = 8)$. Since the final $B/A$ is higher,energy is released. Correct.$(C)$ Fission of a nucleus with $A \approx 150$ $(B/A = 8)$ into two fragments of $A \approx 75$ $(B/A = 2)$. The final $B/A$ is lower,so energy is absorbed. Incorrect.$(D)$ Fission of a nucleus with $A \approx 240$ $(B/A = 4)$ into two fragments of $A \approx 120$ $(B/A = 8)$. The final $B/A$ is higher,so energy is released. Correct.Thus,$(A)$,$(B)$,and $(D)$ are correct. Given the options,$(A)$ and $(D)$ is the most appropriate choice.

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