In the options given below, let E denote the | vedclass

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(A) Nuclear fission is an exothermic process where a heavy nucleus splits into lighter fragments, releasing energy. According to the law of conservati

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$E({}_{92}^{236}U) > E({}_{53}^{137}I) + E({}_{39}^{97}Y) + 2E(n)$

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(A) Nuclear fission is an exothermic process where a heavy nucleus splits into lighter fragments, releasing energy. According to the law of conservation of energy, the total energy of the system remains constant. In the fission reaction, the rest mass energy of the parent nucleus is converted into the rest mass energy of the products plus the kinetic energy ($Q$-value) released. Therefore, $E_{	ext{initial}} = E_{	ext{final}} + Q$. Since $Q > 0$ for a spontaneous fission process, it follows that $E_{	ext{initial}} > E_{	ext{final}}$. Thus, the rest mass energy of ${}_{92}^{236}U$ must be greater than the sum of the rest mass energies of the fission fragments and the emitted neutrons. Option $A$ correctly represents this inequality.

In the options given below, let $E$ denote the rest mass energy of a nucleus and $n$ a neutron. The correct option is:

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In a fission reaction $_{92}^{236}U \to ^{117}X + ^{117}Y + n + n$,the binding energy per nucleon of $X$ and $Y$ is $8.5\, MeV$,whereas that of $^{236}U$ is $7.6\, MeV$. The total energy liberated will be about . . . . . . $MeV$.

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