The radius of the first orbit of Li^{2+} is X | vedclass

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(C) The radius of the $n^{th}$ orbit of a hydrogen-like species is given by $r_n = 0.529 	imes \frac{n^2}{Z} \mathring{A}$.For $Li^{2+}$,$n = 1$ and

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$13.5$

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(C) The radius of the $n^{th}$ orbit of a hydrogen-like species is given by $r_n = 0.529 	imes \frac{n^2}{Z} \mathring{A}$.For $Li^{2+}$,$n = 1$ and $Z = 3$,so $r_{Li^{2+}} = 0.529 	imes \frac{1^2}{3} = X \mathring{A}$.This implies $0.529 = 3X$.For $He^{+}$,$n = 3$ and $Z = 2$,so $r_{He^{+}} = 0.529 	imes \frac{3^2}{2} = 0.529 	imes \frac{9}{2} \mathring{A}$.Substituting $0.529 = 3X$ into the expression for $r_{He^{+}}$:$r_{He^{+}} = (3X) 	imes \frac{9}{2} = \frac{27}{2} X = 13.5X \mathring{A}$.

The radius of the first orbit of $Li^{2+}$ is $X \mathring{A}$. The radius of the third orbit of $He^{+}$ (in $\mathring{A}$) is (in $X$)

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