# hw08 - PHYS 4050 Assignment 8 Boltzmann Statistics Due 6...

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PHYS 4050 Assignment 8 Boltzmann Statistics Due 6 November 2015 1. Estimate the probability that a hydrogen atom at room temperature is in one of its first excited states (relative to the probability of being in the ground state). Don’t forget to take degeneracy into account. Then repeat the calculation for a hydrogen atom in the atmosphere of the star γ UMa, whose surface temperature is approximately 9500 K. 2. A lithium nucleus has four independent spin orientations, convention- ally labeled by the quantum number m = - 3 / 2, - 1 / 2, 1 / 2, 3 / 2. In a magnetic field B , the energies of these four states are E = mμB , where the constant μ is 1 . 03 × 10 - 7 eV/T. In the Purcell-Pound experiment described in section 3.3 of the textbook, the maximum magnetic field strength was 0.63 T and the temperature was 300 K. Calculate the probability of a lithium nucleus being in each of its four spin states un- der these conditions. Then show that, if the field is suddenly reversed,

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