Question

The volume of a nucleus is directly proportional to
(where, A = mass number of the nucleus)

• A. $A$
• B. $A^3$
• C. $\sqrt{A}$
• D. $A^{1/3}$

Answer 1

Answer: (A)

Radius of nucleus $R=R_0{A}^{1/3}$
where, $R_0=1.2\times {10}^{-15}m$
Volume of nucleus $(V)=\frac{4}{3}\pi R^3$
$=\frac{4}{3}\pi {[R_0{A}^{1/3}]}^3$
$=\frac{4}{3}\pi R_0^{3}A$
$V\propto A$