3 Spectroscopy Light can be emitted and absorbed by atoms, but only when the energy of the light, E = hf, matches the energy difference of two allowed states of an atom. For the transition m→n, the energy difference is AE = Em - En. Thus, light will be emitted or absorbed only if hf = En-Em In the Bohr model of hydrogen, the energy of the n-th electron orbit is En -13.6 eV n² (a) Transitions of the form m→ 1 make up the Lyman series of spectral lines. Calculate the wavelengths of the first 3 lines in the Lyman series. In what region of the electromagnetic spectrum do these lines appear? (b) Transitions of the form m → 2 make up the Balmer series of spectral lines. Calculate the wavelengths of the first 3 lines in the Balmer series. In what region of the electromagnetic spectrum do these lines appear? (c) Transitions of the form m → 3 make up the Paschen series of spectral lines. Calculate the wavelengths of the first 3 lines in the Paschen series. In what region of the electromagnetic spectrum do these lines appear?

3 Spectroscopy Light can be emitted and absorbed by atoms, but only when the energy of the light, E = hf, matches the energy difference of two allowed states of an atom. For the transition m→n, the energy difference is AE = Em - En. Thus, light will be emitted or absorbed only if hf = En-Em In the Bohr model of hydrogen, the energy of the n-th electron orbit is En -13.6 eV n² (a) Transitions of the form m→ 1 make up the Lyman series of spectral lines. Calculate the wavelengths of the first 3 lines in the Lyman series. In what region of the electromagnetic spectrum do these lines appear? (b) Transitions of the form m → 2 make up the Balmer series of spectral lines. Calculate the wavelengths of the first 3 lines in the Balmer series. In what region of the electromagnetic spectrum do these lines appear? (c) Transitions of the form m → 3 make up the Paschen series of spectral lines. Calculate the wavelengths of the first 3 lines in the Paschen series. In what region of the electromagnetic spectrum do these lines appear?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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