Explanation:
Radius of H-like species,
\({{\rm{r}}_n} = {\rm{0}}{\rm{.529}}\,{\rm{ \times }}\,\frac{{{{\rm{n}}^{\rm{2}}}}}{{\rm{Z}}}\mathop {\rm{A}}\limits^{\rm{^\circ }} \)
As \(0.529 \times \mathrm{n}^{2}\) is radius for first Bohr orbit of \(\mathrm{H}\)-atom which is equal to \(\mathrm{r}\) (given), so radius of first orbit of
\({\rm{L}}{{\rm{i}}^{{\rm{2 + }}}},{{\rm{r}}_{\rm{n}}} = \frac{{\rm{r}}}{{\rm{3}}}\left( {{\rm{n}} = 1,{\rm{Z}} = {\rm{3,}}\,{\rm{for}}\,{\rm{L}}{{\rm{i}}^{2 + }}} \right)\)