Near the surface of a certain kind of star, approximately one hydrogen atom per 10 million is in the first excited level (n = 2). Assume that the other atoms are in the n = 1 level. Use this information to estimate the temperature there, assuming that Maxwell-Boltzmann statistics are valid. (Hint: In this case, the density of states depends on the number of possible quantum states available on each level, which is 8 for n = 2 and 2 for n = 1.)
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