Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 43, Problem 16SP
To determine

To show: The expression for the total energy of the orbiting electron according to Bohr’s model is En=2π2k02e4men2h2.

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Find the ranges of wavelengths of the Lyman series (=R (-), 2,3,4, ....) and of the Balmer series (=R (-), n = 3,4,5, ....) in the n = emission spectrum of a 1 hydrogen atom. Do these ranges overlap?
Determine all the allowed electron transitions for the hydrogen atom involving only the lowest 5 energy levels. [Ignore electron spin.] a. Explicitly note the number of possible transitions. [For parts b and c, the atom is in an external magnetic field of 2.2T. Find numerical values.] b. C. Determine AE for the transition with the lowest energy change. Determine AE for the transition with the highest energy change.
The Lyman series comprises a set of spectral lines. All of these lines involve a hydrogen atom whose electron undergoes a change in energy level, either beginning at the n = 1 level (in the case of an absorption line) or ending there (an emission line). The inverse wavelengths for the Lyman series in hydrogen are given by 1 - where n = 2, 3, 4, ... and the Rydberg constant R, = 1.097 x 10' m-. (Round your answers to at least one decimal place. Enter your answers in nm.) %3D (a) Compute the wavelength for the first line in this series (the line corresponding to n = 2). nm (b) Compute the wavelength for the second line in this series (the line corresponding to n = 3). nm (c) Compute the wavelength for the third line in this series (the line corresponding to n = 4). nm (d) In which part of the electromagnetic spectrum do these three lines reside? O x-ray region O ultraviolet region O infrared region O gamma ray region O visible light region
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