Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 12 - Sound - General Problems - Page 357: 79

Answer

635 Hz.

Work Step by Step

The column of air is a closed tube. The bottom is the closed end, so the water surface marks a node of air displacement. As the water level drops, the change from one resonance event to the next one corresponds to the distance between adjacent nodes. This is one-half wavelength. $$\Delta \mathcal{l}=\frac{1}{2}\lambda$$ $$\lambda=2\Delta \mathcal{l}=2(0.395m-0.125m)=0.540m$$ Now find the frequency. $$f=\frac{v}{\lambda}=\frac{343m/s}{0.540m}=635\;Hz$$
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