Question

The volume $\left(V\right)$ of nucleus of an atom is expressed in terms of mass no. $\left(A\right)$ of atom as :

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

Answer 1

The correct option is A $V\propto A$

As we know,

$r=r_0\times A^{1/3}$

where. A is atomic mass no. and

$V_n=\frac{4}{3}\pi r^3$

So, $V_n=\frac{4}{3}\pi [1.33\times {10}^{-13}\times A^{1/3}{]}^3$

$\therefore V_n\propto A\propto massno$.