NEET Physics Nuclear Physics And Radioactivity NEET PYQ-Nuclear Physics

If the nuclear radius of \[^{27}Al\] is 3.6 Fermi, the approximate nuclear radius of \[^{64}Cu\] in Fermi is                                                                                                                                     [AIPMT (S) 2012]

A) 2.4

B)      1.2

C) 4.8

D)      3.6

Correct Answer: C

Solution :

Nuclear radius \[r\propto {{A}^{1/3}},\] where A is mass number

\[r={{r}_{0}}{{A}^{1/3}}\]

\[r={{r}_{0}}{{(27)}^{1/3}}=3{{r}_{0}}\]

\[{{r}_{0}}\frac{3.6}{3}=1.2\,fm\]

For \[^{64}Cu\]

\[r={{r}_{0}}{{A}^{1/3}}\]

\[=1.2\,fm\,{{(64)}^{1/3}}\]

\[=4.8\,fm\,\]