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  • The orbital frequency of an electron in the hydrogen atom is proportional toOption: 1 <img alt="n^3" src="https://entrancecorner.oncodecogs

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

Option: 1

n^3


Option: 2

n^{-3}


Option: 3

n^1


Option: 4

n^0


Answers (1)

best_answer

For Bohr’s model of the hydrogen atom

mvr=\frac{nh}{2\pi}

\frac{kZe^2}{r^2}=\frac{mv^2}{r}

Time period of revolution of electron  =T=\frac{2\pi r}{v}=\frac{4\epsilon_0^2n^3h^3}{mZ^2e^{4\ }}\propto n^3

Thus the frequency of the revolving electron  =\frac{1}{T}\propto\ n^{-3}

Posted by

shivangi.shekhar

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