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-

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-

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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Question

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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