University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 40 - Quantum Mechanics I: Wave Functions - Problems - Exercises - Page 1359: 40.69

Answer

Choice A.

Work Step by Step

According to the given expression, the spacing between adjacent energy levels is proportional to $\frac{1}{M}$. Therefore, if the mass M increases, the energy spacing $\Delta E$ decreases. We know that the energy spacing is related to the wavelength of the emitted photon:$\Delta E = \frac{hc}{\lambda}$. If $\Delta E$ decreases, then the wavelength increases, which is what is observed. This analysis supports choice A.
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