What is the binding energy of the nucleus and binding energy per nucleon? Write their formulas.

(N/A) $1$. Binding Energy of the Nucleus $(BE)$: The binding energy of a nucleus is the energy required to separate the nucleons (protons and neutrons) of a nucleus to an infinite distance from each other. It is equivalent to the mass defect $(\Delta m)$ multiplied by the square of the speed of light $(c^2)$.
Formula: $BE = \Delta m \times c^2 = [Z m_p + (A - Z) m_n - M_{nucleus}] c^2$, where $Z$ is the atomic number, $A$ is the mass number, $m_p$ is the mass of a proton, $m_n$ is the mass of a neutron, and $M_{nucleus}$ is the actual mass of the nucleus.
$2$. Binding Energy per Nucleon $(BE/A)$: This is the average energy required to remove a single nucleon from the nucleus. It is calculated by dividing the total binding energy of the nucleus by the total number of nucleons (mass number $A$).
Formula: $BE/A = \frac{BE}{A}$.