Question

The atomic mass of an element $_{10}\text{X}^{20}$ is $198170\text{ amu}$. The binding energy per nucleon of that element is: (Given mass of neutron $= 00867\text{ amu}$, mass of proton $= 00783\text{ amu}$, and $1\text{ amu} = 931\text{ MeV}$)}

• A. $8.533\text{ MeV/nucleon}$
• B. $85.33\text{ MeV/nucleon}$
• C. $170.66\text{ MeV/nucleon}$
• D. $17.66\text{ MeV/nucleon}$

Hint:

Be careful not to select Option (C) by mistake! $170.66\text{ MeV}$ represents the total binding energy of the entire system. The question explicitly asks for the value per nucleon, requiring a division by the total atomic mass number of $20$.

Answer 1

The Correct Option is A