College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 28 - Multiple-Choice Questions - Page 1073: 8


The correct answer is: (a) The spacings decrease.

Work Step by Step

We can write an expression for the energy level $E_n$: $E_n = \frac{n^2~\pi^2~\hbar^2}{2~m~L^2}$, where $L$ is the length of the box. If the box is made longer, then the value of $L$ increases. Then the energy levels will decrease thus making the spacings between energy levels smaller. The correct answer is: (a) The spacings decrease.
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