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Question

Chemistry Question on Bohr’s Model for Hydrogen Atom

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

A

n3n^3

B

n3n^{-3}

C

n1n^1

D

n0n^0

Answer

n3n^{-3}

Explanation

Solution

Time period of electron, T=4ε02n3h3mZ2e4T=\frac {4 \varepsilon_0^2n^3h^3}{mZ^2e^4}
T?n3\therefore T ? n^3
1frequency(f)?n3\therefore \frac {1}{\text{frequency} \, (f)}? n^3
or f?n3f ? n^{-3}