The orbital frequency of an electron in the hydrogen atom is proportional to

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The orbital frequency of an electron in the hydrogen atom is proportional to

PhysicsAtomic PhysicsNEET

Options:

A $n^{3}$
B $n^{- 3}$
C $n$
D $n^{0}$

Solution:

1082 Upvotes Verified Answer

The correct answer is:

n^{- 3}

The time period of the electron,

T = \frac{4 ε_{0}^{2} n^{3} h^{3}}{m Z^{2} e^{4}}

∴ T \propto n^{3}

∴ \frac{1}{f r e q u e n c y (f)} \propto n^{3}

or

f \propto n^{- 3}

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