Calculate the radius of the first orbit of Be | vedclass

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(A) The radius of the $n^{th}$ orbit of a hydrogen-like species is given by the formula: $r_n = 0.529 	imes \frac{n^2}{Z} \ \mathring{A}$.For $Be^{3+

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$13.23$

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(A) The radius of the $n^{th}$ orbit of a hydrogen-like species is given by the formula: $r_n = 0.529 	imes \frac{n^2}{Z} \ \mathring{A}$.For $Be^{3+}$, the atomic number $Z = 4$ and for the first orbit, $n = 1$.Substituting these values: $r_1 = 0.529 	imes \frac{1^2}{4} \ \mathring{A}$.$r_1 = 0.529 	imes 0.25 \ \mathring{A} = 0.13225 \ \mathring{A}$.Since $1 \ \mathring{A} = 100 \ pm$, we have $r_1 = 0.13225 	imes 100 \ pm = 13.225 \ pm$, which is approximately $13.23 \ pm$.

Calculate the radius of the first orbit of $Be^{3+}$. (in $pm$)

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