Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Nuclei

Question:

Radius of ${ }_2^4 He$ nucleus is 3 Fermi. The radius of ${ }_{82}^{206} Pb$ nucleus will be

Options:

5 Fermi

6 Fermi

11.16 Fermi

8 Fermi

Correct Answer:

11.16 Fermi

Explanation:

We have $r \propto A^{1 / 3} \Rightarrow \frac{r_2}{r_1}=\left(\frac{A_2}{A_1}\right)^{1 / 3}=\left(\frac{206}{4}\right)^{1 / 3}$

∴ $r_2=3\left(\frac{206}{4}\right)^{1 / 3}$ = 11.6 Fermi