All Problems

Properties of Atoms. Spectra.

Problem 6.125

What fraction of hydrogen atoms is in the state with the principal quantum number \(n=2\) at a temperature \(T=3000 \mathrm{~K} ?\)

Reveal Answer
η=n2e−ℏω/kT=3⋅10−17,where ω=R(1−1/n2)\eta=n^{2} e^{-\hbar \omega / k T}=3 \cdot 10^{-17}, \text {where } \omega=R\left(1-1 / n^{2}\right)
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