Question

If a graph is drawn between the binding energy per nucleon and the mass number of nucleus, then the mass number of the nucleus for which the binding energy per nucleon has a maximum value is

• A. \(56\)
• B. \(35\)
• C. \(106\)
• D. \(115\)

Hint:

The binding energy per nucleon is maximum for nuclei around \[ \boxed{A\approx56} \] (iron region), making them the most stable nuclei.

Answer 1

The Correct Option is A

Step 1: Recall the binding energy curve. The graph of binding energy per nucleon versus mass number shows that the binding energy per nucleon increases rapidly for light nuclei, reaches a maximum near iron, and then decreases slowly for heavier nuclei.

Step 2: Identify the nucleus with maximum binding energy per nucleon. The maximum binding energy per nucleon occurs for nuclei around \[ A\approx56, \] which corresponds to iron. Hence, \[ \boxed{A=56.} \]

Step 3: Write the answer. Therefore, \[ \boxed{56}. \] Thus, \[ \boxed{(A)} \] is the correct answer.