Question

Volume (V) of the nucleus is related to mass number (A) as

• A. $V\propto A^2$
• B. $V\propto A^{1/3}$
• C. $V\propto A^{2/3}$
• D. $V\propto A$

Answer 1

The correct option is D $V\propto A$

Radius of nucleus is given by $R=R_0{A}^{\frac{1}{3}}$
where, $R_0=1.2\times {10}^{-15}m$
Therefore, Volume of nucleus is:

Volume $=\frac{4}{3}\pi A{R_0}^3$
$\therefore V\propto A$