At a given temperature, an atom accesses 2S1/22P1/2 and 2P3/2 atomic states with energies 0 kBT, 0.5 kBT and 0.5 kBT, respectively. The fraction of atoms in the P states is

1
\(\frac{3 e^{-0.5}}{1+3 e^{-0.5}}\)
2
\(\frac{e^{-0.5}}{1+2 e^{-0.5}}\)
3
\(\frac{e^{-0.5}}{1+4 e^{-0.5}}\)
4
\(\frac{2 e^{-0.5}}{1+2 e^{-0.5}}\)

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