The radius of germanium $(\mathrm{Ge})$ nuclide is measured to be twice the radius of ${ }_4^9 \mathrm{Be}$.…
The radius of germanium $(\mathrm{Ge})$ nuclide is measured to be twice the radius of ${ }_4^9 \mathrm{Be}$. The number of nucleons in Ge will be
- $72$
- $73$
- $74$
- $75$
Solution
Using radius of a nucleus, $\mathrm{R} \propto \mathrm{A}^{1 / 3}$
Where, $A=$ number of nucleons
$\begin{aligned}
& \therefore \quad \frac{R_{G e}}{R_{B e}}=\left(\frac{A_{G e}}{A_{B e}}\right)^{1 / 3} \\
& 2=\left(\frac{A_{G e}}{A_{B e}}\right)^{1 / 3} \text { or, } 2^3=\frac{A_{G e}}{A_{B e}} \quad\left(\therefore R_{G e}=2 R_{B e}\right) \\
& 2^3=\frac{A_{G e}}{9} \quad\left[\therefore A_{B e}=9\right] \\
& \therefore \quad A_{G e}=2^3 \times 9=8 \times 9=72
\end{aligned}$
Asked in: AP EAMCET 2016
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