JEE Main 2025 Jan 28 Shift 2, Physics Q7: Bohr Model of the Hydrogen Atom

JEE Main2025Jan 28, Shift 2Physics

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

Solution

In Bohr's model, the orbital speed scales as $v \propto 1/ n$ and the orbital radius as $r \propto n^{2}$ .

Frequency of revolution $ν = \frac{v}{2 π r} \propto \frac{1/ n}{n ^{2}} = \frac{1}{n ^{3}}$ .

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