The ratio between the radii of He^{+} ion and | vedclass

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(A) The radius of a hydrogen-like species is given by the formula $r_n = a_0 	imes \frac{n^2}{Z}$,where $a_0$ is the Bohr radius,$n$ is the principal

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$0.5$

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(A) The radius of a hydrogen-like species is given by the formula $r_n = a_0 	imes \frac{n^2}{Z}$,where $a_0$ is the Bohr radius,$n$ is the principal quantum number,and $Z$ is the atomic number.For $H$ atom: $n = 1, Z = 1$,so $r_H = a_0 	imes \frac{1^2}{1} = a_0$.For $He^{+}$ ion: $n = 1, Z = 2$,so $r_{He^{+}} = a_0 	imes \frac{1^2}{2} = 0.5 	imes a_0$.The ratio $\frac{r_{He^{+}}}{r_H} = \frac{0.5 	imes a_0}{a_0} = 0.5$.

The ratio between the radii of $He^{+}$ ion and $H$ atom is:

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