Question

If the binding energy per nucleon of a nucleus is 8.75 MeV and its mass number is 56, then total binding energy is

• A. 8 MeV
• B. 56 MeV
• C. 490 MeV
• D. 64 MeV
• E. 504 MeV

Hint:

Total binding energy: \[ \text{B.E.}=(\text{binding energy per nucleon})\times A \] where \(A\) is the mass number.

Answer 1

The Correct Option is C

Total binding energy is: \[ \text{Binding energy per nucleon} \times \text{mass number} \] Given: \[ \text{Binding energy per nucleon}=8.75\text{ MeV} \] \[ A=56 \] So, \[ \text{Total binding energy}=8.75\times 56 \] \[ =490\text{ MeV} \]
Hence, the correct answer is: \[ \boxed{(C)\ 490\text{ MeV}} \]