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Q. If the nucleus $_{13}^{27} A l$ has a nuclear radius of about $3.6 \,fm$, then $_{52}^{125}$ Te would have its radius approximately is

Solution:

Nuclear radii $R=\left(R_{0}\right) A^{1 / 3}$
Where $A$ is the mass number
$\therefore \frac{R_{T e}}{R_{A}}=\left(\frac{A_{T r}}{A_{A l}}\right)^{1 / 3}$
$=\left(\frac{125}{27}\right)^{1 / 3}=\left(\frac{5}{3}\right)$ or,
$R_{T e}=\frac{5}{3} \times R_{A l}=\frac{5}{3} \times 3.6=6\, fm$.
$\left(\right.$ Given $\left.R_{A l}=3.6\, fm \right)$