Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 21 - Superposition - Conceptual Questions: 6

Answer

The speed of sound is faster in helium. The frequency must increase if the speed of sound increases.

Work Step by Step

The speed of sound $v \propto \sqrt{\frac{1}{M}}$, where $M$ is the molar mass of the gas. Since the molar mass of helium is less than the molar mass of normal air molecules, the speed of sound is faster in helium. We know that $v = f~\lambda$. Since the wavelength does not change, the frequency must increase if the speed of sound $v$ increases.
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