Question 318: Atoms & Nuclei

Question

A nucleus has mass number $$A_1$$ and volume $$V_1$$. Another nucleus has mass number $$A_2$$ and Volume $$V_2$$. If relation between mass number is $$A_2=4 A_1$$, then $$\frac{V_2}{V_1}=$$ __________.

Accepted Answer

For a nucleus
Volume: $$\mathrm{V}=\frac{4}{3} \pi \mathrm{R}^3$$
$$\begin{aligned}
& \mathrm{R}=\mathrm{R}_0(\mathrm{A})^{1 / 3} \
& \mathrm{~V}=\frac{4}{3} \pi \mathrm{R}_0^3 \mathrm{A} \
& \Rightarrow \frac{\mathrm{V}_2}{\mathrm{~V}_1}=\frac{\mathrm{A}_2}{\mathrm{~A}_1}=4
\end{aligned}$$

Atoms & Nuclei

A nucleus has mass number $A_1 and volume V_1. Another nucleus has mass number A_2 and Volume V_2. If relation between mass number is A_2=4 A_1, then \frac{V_2}{V_1}=$ __________.

Integer / Numeric Answer Type