Which one of the following statements is corr | vedclass

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(A) The nucleons inside the nucleus are very strongly bound, and energies of a few $MeV$ are needed to separate a nucleon from the nucleus. Hence, a m

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The mass of the nucleus must be less than the sum of the masses of the constituent neutrons and protons.

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(A) The nucleons inside the nucleus are very strongly bound, and energies of a few $MeV$ are needed to separate a nucleon from the nucleus. Hence, a minimum energy is required to split the protons and neutrons, and that energy is known as the binding energy of the nucleus. If there are $Z$ number of protons and $N$ number of neutrons, and the mass of the nucleus is $M(A, Z)$, then the binding energy is given by $E_B = [Z m_p + N m_n - M(A, Z)] C^2 > 0$, where $m_p$ and $m_n$ are the masses of protons and neutrons, respectively. Since $E_B > 0$, it implies that $Z m_p + N m_n > M(A, Z)$. Therefore, the mass of the nucleus must be less than the sum of the masses of the constituent neutrons and protons.

Which one of the following statements is correct?

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