Demonstrate that the frequency w of a photon emerging when an electron jumps between neighbouring circular orbits

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Demonstrate that the frequency w of a photon emerging when an electron jumps between neighbouring circular orbits of a hydrogen-like ion satisfies the inequality wn, > w > wn+1, where wn and wn+1 are the frequencies of revolution of that electron around the nucleus along the circular orbits. Make sure that as n → ∞ the frequency of the photon w→ wn.
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