In spectroscopy there were important relationships between some of the hydrogen

Question

In spectroscopy there were important relationships between some of the hydrogen spectral lines that are explained by the Bohr model. Consider one of the following “Ritz combination rules.”

f(Ka) + f(La) = f(Kß)

where f(Ka) is the frequency of the Lyman a line, f(Kß) is the Lyman ß line, and f(La) is the Balmer a line. Derive this relationship from the Bohr model.

Explanation / Answer

so Ka is the transition from 2-> 1 Kb is the transition from 3->1 La is the transition from 3->2 Since 3->2->1 is the same energetically as 3->1 that means E(Ka)+E(La)=E(Kb) know we use that E=hf so f(Ka)+f(La)=f(Kb)

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