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According to Bohr’s principle, the relation between the principal quantum number (n) and the radius of the orbit (r) is

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r is proportional to $\frac{1}{n}$

r is proportional to $\frac{1}{n^{2}}$

r is proportional to n

r is proportional to n²

answer is D.

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Detailed Solution

From Bohr's postulates

$mvr = \frac{nh}{2 π} and \frac{{mv}^{2}}{r} = \frac{1}{4 {πε}_{0}} \frac{e^{2}}{r^{2}} solving for r we get r proportional to n^{2}$

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