Question

The volume of a nucleus is directly proportional to .........

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

Answer 1

Answer: (D)

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