Assertion : The radius of the first orbit of | vedclass

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

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If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

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(A) The radius of the $n^{th}$ orbit of a hydrogen-like species is given by the formula $r_n = 0.529 \ \mathring{A} 	imes \frac{n^2}{Z}$.For the hydrogen atom,$Z = 1$.For the first orbit,$n = 1$.Substituting these values,$r_1 = 0.529 \ \mathring{A} 	imes \frac{1^2}{1} = 0.529 \ \mathring{A}$.Thus,both the assertion and the reason are correct,and the reason provides the correct formula used to derive the assertion.

Assertion : The radius of the first orbit of hydrogen atom is $0.529 \ \mathring{A}$.
Reason : Radius of each circular orbit $(r_n) = 0.529 \ \mathring{A} \ (n^2/Z)$,where $n = 1, 2, 3$ and $Z =$ atomic number.

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Assertion : The radius of the first orbit of hydrogen atom is $0.529 \ \mathring{A}$.Reason : Radius of each circular orbit $(r_n) = 0.529 \ \mathring{A} \ (n^2/Z)$,where $n = 1, 2, 3$ and $Z =$ atomic number.