Assignment for Elementary Modern Physics | PHY 215, Assignments of Physics

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(Fqnation 4-18) The n= | electrons “see” a nuclear charge of approximately Z-1, or 78 for Au. r, = 0.0529nm/78 = 6.8%107* nm = 6.8% 10-4 nm 10 m/nmy 10" fin/m = 680fin or about 100 times the radius of the Au nucleus. (b) 4-34. The available energy is not sufficient to raise ground state trons to the 1-5 level which requires 13.6 - 0.54 = 13.1 eV. ‘The shortest wavelength (i.2., highest energy) spectral line that will be emitted is the 3rd line of the Lyman series, the n=4-+ n= 1 transition. (Sce Figure 4-16.) The emitted lines will be for those transitions that begin on the n — .n73orn72 levels. These are the first three lines of the Lyman series, the first two lines of the Balmer series, and the first line of the Paschen series. Average transition energy ~ 15.7 eV cy 600 Is.7ev so Bo ~ (eV) 30 6c 20