The ratio of the radius of the 2^{nd} orbit o | vedclass

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(B) The radius of an orbit in a hydrogen-like species is given by the formula: $r = r_0 	imes \frac{n^2}{Z}$.For the $2^{nd}$ orbit of $H$ $(n_1 = 2,

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$8 : 9$

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(B) The radius of an orbit in a hydrogen-like species is given by the formula: $r = r_0 	imes \frac{n^2}{Z}$.For the $2^{nd}$ orbit of $H$ $(n_1 = 2, Z_1 = 1)$: $r_1 = r_0 	imes \frac{2^2}{1} = 4r_0$.For the $3^{rd}$ orbit of $He^{+}$ $(n_2 = 3, Z_2 = 2)$: $r_2 = r_0 	imes \frac{3^2}{2} = 4.5r_0$.The ratio is $\frac{r_1}{r_2} = \frac{4r_0}{4.5r_0} = \frac{4}{4.5} = \frac{8}{9}$.

The ratio of the radius of the $2^{nd}$ orbit of $H$ to the radius of the $3^{rd}$ orbit of $He^{+}$ is ......

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