Q. The ratio of the nuclear radii of elements with mass numbers 216 and 125 is
A) 216:125
B) $\sqrt{216}:\sqrt{125}$
C) 6:5
D) None of these
Explanation
(c) Nuclear radius is proportional to $A^{1/3}$ , where $A\ $is the mass number of Nucleus
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ R = R_{0}A^{1/3}$
where $R_{0} = 1.2\ fm$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{R_{1}}{R_{2}} = \frac{R_{0}(216)^{1/3}}{R_{0}(125)^{1/3}} = \frac{6}{5}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.