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Consider the following two possibilities for electron tran- sitions in a hydrogen atom, pictured below: (1) The electron drops from the Bohr orbit n = 3 to the orbit n = 3 to the orbit n = 2, followed by the transition from n = 2 to n = 1. (2) The electron drops from the Bohr orbit n = 3 directly to the orbit n = 1. (a) Show that the sum of the energies for the transitions n = 3 → n = 2 and n = 2→ n = 1 is equal to the energy of the transition n = 3 → n = 1. (b) Are either the wavelengths or the frequencies of the emit- ted photons additive in the same way as their energies? Explain. n = 1 n = 2 n = 3

Consider the following two possibilities for electron tran- sitions in a hydrogen atom, pictured below: (1) The electron drops from the Bohr orbit n = 3 to the orbit n = 3 to the orbit n = 2, followed by the transition from n = 2 to n = 1. (2) The electron drops from the Bohr orbit n = 3 directly to the orbit n = 1. (a) Show that the sum of the energies for the transitions n = 3 → n = 2 and n = 2→ n = 1 is equal to the energy of the transition n = 3 → n = 1. (b) Are either the wavelengths or the frequencies of the emit- ted photons additive in the same way as their energies? Explain. n = 1 n = 2 n = 3

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Consider the following two possibilities for electron tran- sitions in a hydrogen atom, pictured below: (1) The electron drops from the Bohr orbit n = 3 to the orbit n = 2, followed by the transition from n = 2 to n = 1. (2) The electron drops from the Bohr orbit n = 3 directly to the orbit n = 1. (a) Show that the sum of the energies for the transitions n = 3 → n = 2 and n = 2 → n = 1 is equal to the energy of the transition n = 3→ n = 1. (b) Are either the wavelengths or the frequencies of the emit- ted photons additive in the same way as their energies? Explain. n = 1 n = 2 n=3
Transcribed Image Text:Consider the following two possibilities for electron tran- sitions in a hydrogen atom, pictured below: (1) The electron drops from the Bohr orbit n = 3 to the orbit n = 2, followed by the transition from n = 2 to n = 1. (2) The electron drops from the Bohr orbit n = 3 directly to the orbit n = 1. (a) Show that the sum of the energies for the transitions n = 3 → n = 2 and n = 2 → n = 1 is equal to the energy of the transition n = 3→ n = 1. (b) Are either the wavelengths or the frequencies of the emit- ted photons additive in the same way as their energies? Explain. n = 1 n = 2 n=3
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