Modified Mastering Physics with Pearson eText -- Standalone Access Card -- for College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321943798
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 29, Problem 23CQ
To determine
Whether it is possible for the atoms to be a laser and on which transition would laser action occur.
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Light of wavelength 102.6 nm is emitted by a hydrogen atom. What are the (a) higher quantum number and (b) lower quantum number of the transition producing this emission? (c) What is the name of the series that includes the transition?
The Balmer series for the hydrogen atom comprises electron energy transitions that end in the nf = 2 state.
An illustration of energy levels shows the colors of the lines of the Balmer series. The bottom energy level in the diagram is n = 2, and an upward arrow indicates that energy increases with higher energy levels, labeled up to n = ∞, where E = 0.00 eV. The energy of n = 2 is −3.401 eV, n = 3 is −1.512 eV, n = 4 is −0.8504 eV, n = 5 is −0.5442 eV, and n = 6 is −0.378 eV. Balmer lines are produced when an electron jumps to n = 2 from any higher level. Red color is emitted during transition from n = 3, green color during transition from n = 4, blue color during transition from n = 5, and violet color during transition from n = 6.
Consider the four illustrated transitions, each shown by a downward arrow in this energy-level diagram for the hydrogen atom. Because these transitions all involve a hydrogen atom losing energy, they each correspond to the emission of a photon.
(a)What is…
(a) List all possible sets of quantum numbers (n, l, ml , ms) for the n = 3 shell, and determine the number of electrons that can be in the shell and each of its subshells. (b) Show that the number of electrons in the shell equals 2n2 and that the number in each subshell is 2(2l + 1) .
Chapter 29 Solutions
Modified Mastering Physics with Pearson eText -- Standalone Access Card -- for College Physics: A Strategic Approach (3rd Edition)
Ch. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - Prob. 8CQCh. 29 - Prob. 9CQCh. 29 - Prob. 10CQ
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