Assertion :The ratio of radius of first orbit to second orbit of hydrogen atom is 1 : 4. Reason: Radius for each circular orbit = 0.529 $n^{2} A^{0}$

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
The radius of $n^{t h}$ orbit is given by $r = 0.529 n^{2} A °$ . Thus ratio of radius of $1^{s t}$ orbit to $2^{n d}$ orbit is $0.529 {(1)}^{2} : 0.529 {(2)}^{2} = 1 : 4$ . Thus both assertion and reason are correct and reason explains assertion.

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