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)

$A$

Answer 2

Radius of nucleus $R = R_0A^{1/3}$
where $R_0 = 1.2 \times 10^{-15}$ m
Volume of nucleus $= \frac{4}{3} \pi R^{3}$
$= \frac{4}{3} \pi\left[R_{0} A^{1/3}\right]^{3}$
$= \frac{4}{3} \pi R_{0}^{3} A$
$\therefore \; V \propto A$