Populations in the H atom. Use the Boltzmann factor(Eq.
Chapter 39, Problem 39.77(choose chapter or problem)
Populations in the H atom. Use the Boltzmann factor(Eq. 39-16) to estimate the fraction of H atoms in then = 2 and n = 3 levels (relative to the ground state) forthermal equilibrium at (a) T = 300 K and (b) T = 6000 K.[Note: Since there are eight states with n = 2 and only twowith n = 1, multiply your result for n = 2 by = 4; dosimilarly for n = 3. ] (c) Given 1.0 g of hydrogen, estimatethe number of atoms in each state at T = 6000 K. (d) Estimatethe number of n = 3 to n = 1 and n = 2 to n = 1photons that w ill be emitted per second at T = 6000 K.Assume that the lifetime of each excited state is 10_8 s.[Hint: To evaluate a large exponent, you can use base-10logarithms, Appendix A.]
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