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 13SP
To determine
To show: The expression for the orbital radii of a hydrogen atom is given as
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If we have a hydrogen atom with its electron in the d state? Then the principal quantum number is n is 2. (True or False?) Justify your answer.
(4) Electronic energy level of a hydrogen atom is given by
R
E
; n =
n2
1, 2, 3,...
and R = 13.6 eV. Each energy level has degeneracy 2n² (degeneracy is the number of equivalent
configurations associated with the energy level).
(a) Calculate the partition function Z for a hydrogen atom at a constant temperature.
(b) Let us consider that the energy level of a hydrogen atom is approximated by a two level
system, n = 1,2. Estimate the mean energy at 300 K.
Calculate the shortest wavelength of the spectral lines emitted in Balmer series.
[Given Rydberg constant, R = 107 m-1 ]
Chapter 43 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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- A hydrogen atom in an excited 5f state is in a magnetic fi eld of 3.00 T. How many energy states can the electron have in the 5f subshell? (Ignore the magnetic spin effects.) What is the energy of the 5f state in the absence of a magnetic fi eld? What will be the energy of each state in the magnetic field?arrow_forward(4) Electronic energy level of a hydrogen atom is given by R ; п %3D 1,2, 3,... n2 E = - and R = 13.6 eV. Each energy level has degeneracy 2n2 (degeneracy is the number of equivalent configurations associated with the energy level). (a) Derive the partition function for a hydrogen atom at a constant temperature. (b) Consider that the energy level of a hydrogen atom is approximated by a two level system, n = 1,2. Estimate the mean energy at 300 K.arrow_forwardThe 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 regionarrow_forward
- 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.arrow_forward(b) Look very carefully at the picture below. Give the relevant quantum numbers. Explain your answer. y-axisarrow_forward(b) (4, 3, 2, -1)-(4, 2, 3, 1) Is the transition allowed? Yes What is the energy involved (in eV)? (Include sign. Enter "none" if the transition is forbidden.) eVarrow_forward
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