AIIMS 2019 Physics Binding Energy MCQ Question

To find the binding energy (BE) per nucleon of $^{56}\text{Fe}$, we first calculate the mass defect using the formula:

$$\text{Mass defect} = Z \cdot m_p + N \cdot m_n - m(^{56}\text{Fe})$$

where $Z = 26$ (number of protons) and $N = 30$ (number of neutrons). Substituting the values, we find the mass defect, convert it to energy using $E = \Delta m \cdot c^2$ (with $c^2$ in MeV/u), and then divide by the total number of nucleons (56) to get the BE per nucleon, which results in approximately 8.52 MeV.

Options (A), (C), and (D) are incorrect as they do not reflect the calculated BE per nucleon based on the mass defect and energy conversion, indicating a misunderstanding of the binding energy concept.