While working in a magnetics lab, you conduct an
Chapter 41, Problem 41.67(choose chapter or problem)
While working in a magnetics lab, you conduct an experiment in which a hydrogen atom in the n = 1 state is in a magnetic field of magnitude B. A photon of wavelength l (in air) is absorbed in a transition from the ms = - 1 2 to the ms = + 1 2 state. The wavelengths l as a function of B are given in the table. B 1T2 0.51 0.74 1.03 1.52 2.02 2.48 2.97 L 1mm2 21.4 14.3 10.7 7.14 5.35 4.28 3.57 (a) Graph the data in the table as photon frequency f versus B, where f = c>l. Find the slope of the straight line that gives the best fit to the data. (b) Use your results of part (a) to calculate 0 mz 0 , the magnitude of the spin magnetic moment. (c) Let g = 0 mz 0>0 Sz 0 denote the gyromagnetic ratio for electron spin. Use your result of part (b) to calculate g. What is the value of g>1e>2m2 given by your experimental data?
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