A nucleus has mass number $A_1$ and volume $V_1$. Another nucleus has mass number $A_2$ and volume $V_2$. If…
A nucleus has mass number $A_1$ and volume $V_1$. Another nucleus has mass number $A_2$ and volume $V_2$. If the relation the mass numbers is $\mathrm{A}_2=3 \mathrm{~A}_1$, then $\frac{\mathrm{V}_1}{\mathrm{~V}_2}=$
$3^{\frac{1}{3}}$
$\left(\frac{1}{3}\right)^{\frac{1}{3}}$
$\frac{1}{3}$
$\frac{1}{\sqrt{3}}$
Solution
We have
$\begin{aligned} & \mathrm{V} \propto \mathrm{A} \\ & \frac{\mathrm{V}_1}{\mathrm{~V}_2}=\frac{\mathrm{A}_1}{\mathrm{~A}_2}=\frac{1}{3}\end{aligned}$