Question

The radius of germanium (Ge) nuclide is measured to be twice the radius of Be the number of nucleons in Ge are

Answer 1

Nuclear radii $R=R_0{A}^{1/3}$

When $R_0=1-2F_M$

$R\propto A^{1/3}$

$\frac{R_{Be}}{R_{ae}}=\frac{(9{)}^{1/3}}{A^{1/3}}\Rightarrow \frac{R_{Be}}{2R_{Be}}=\frac{(9{)}^{1/3}}{A^{1/3}}$ $[\because R_{Ge}=2R_{Be}]$

$A^{1/3}=2\times 9^{1/3}$

$A=2^3\times 9=8\times 9=72$

The number of nuclear in Ge is $72$.