Which of the following statement(s) is/are tr | vedclass

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(B) Statement $(i)$ is false because the mass of a nucleus is always less than the sum of the masses of its individual nucleons. This mass difference,

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Statements $(ii)$, $(iii)$ and $(iv)$ are true

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(B) Statement $(i)$ is false because the mass of a nucleus is always less than the sum of the masses of its individual nucleons. This mass difference, known as the mass defect, corresponds to the binding energy released when the nucleus is formed. Therefore, the mass energy of a nucleus is less than the total mass energy of its individual protons and neutrons.Statement $(ii)$ is true. To separate a nucleus into its constituent nucleons, work must be done against the strong nuclear force, which requires an energy input equal to the binding energy.Statement $(iii)$ is true. Binding energy per nucleon is a standard measure of nuclear stability; higher values indicate that nucleons are more tightly bound.Statement $(iv)$ is true. In nuclear fission, a heavy nucleus splits into lighter nuclei with higher binding energy per nucleon, resulting in the release of energy.Thus, statements $(ii)$, $(iii)$, and $(iv)$ are correct.

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