NEET Physics Nuclear Physics And Radioactivity NEET PYQ-Nuclear Physics

The mass of a \[_{\text{3}}^{\text{7}}Li\] nucleus is 0.042 u less than the sum of the masses of all its nucleons. The binding energy per nucleon of \[_{\text{3}}^{\text{7}}Li\] nucleus is nearly                        [AIPMT (S) 2010]

A) 46 MeV

B) 5.6 MeV

C) 3.9 MeV

D) 23 MeV

Correct Answer: B

Solution :

If \[m=1u,c=3\times {{10}^{8}}m{{s}^{-1}},\]

then \[E=931\,\,MeV\,ie,\,\,1\,u=931\,\,MeV\]

Binding energy \[=0.042\times 931=39.10\text{ }MeV\]

\[\therefore \] Binding energy per nucleon

\[=\frac{39.10}{7}=5.58\approx 5.6MeV\]