The frequency of revolution of the electron in Bohr's orbit varies with n, the principal quantum number as [2025]

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Solution

Q.
The frequency of revolution of the electron in Bohr's orbit varies with n, the principal quantum number as [2025]

1 $\frac{1}{n}$

2 $\frac{1}{n^{3}}$

3 $\frac{1}{n^{4}}$

4 $\frac{1}{n^{2}}$

Ans.
(2)

$f = \frac{v}{2 π r} = (\frac{v_{0}}{n}) (\frac{1}{2 π r_{0} n^{2}})$

$f = \frac{v_{0}}{2 π r_{0}} (\frac{1}{n^{3}}) = f_{0} (\frac{1}{n^{3}})$

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