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 - Problems - Page 355: 42

Answer

$f_1\approx 19Hz$ $f_2=38Hz$

Work Step by Step

A tube closed at both ends will support standing waves with nodes at each end, so mathematically it resembles a string that is fixed at both ends. Therefore, the wavelength corresponding to the fundamental frequency is twice the length of the tube. $$\lambda_1=2\mathcal{l}=2(9.0m)=18m$$ $$f_1=\frac{v}{\lambda_1}=\frac{343m/s}{18m}\approx 19Hz$$ $$f_2=2f_1=38Hz$$
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