Q. The radius of a nucleus with atomic mass number 7 is 2fermi. Find the radius of nucleus with atomic number 189.
A) 3 $fermi$
B) 4$\ fermi$
C) 5$\ fermi$
D) 6$\ fermi$
Explanation
(d) $R = R_{0}A^{1/3}$
$\therefore\ \ \ \ \ \ \ \ \ \ \ \frac{R_{1}}{R_{2}} = \left( \frac{A_{1}}{A_{2}} \right)^{1/3}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{2}{R_{2}} = \left( \frac{7}{189} \right)^{1/3}$
$\Rightarrow \ \ \ \ \ \ \ \ R_{2}\ = \ 6\ Fermi$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.