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: 29

Answer

a. 360 Hz b. 540 Hz

Work Step by Step

a. See figure 12-12. For a pipe that is closed at one end, the fundamental frequency is $f_1=\frac{v}{4 \mathcal{l}}$. $f_1=\frac{343 m/s}{4 (0.24m)}=360Hz$ b. If the bottle were one-third full of soda, the effective length of the air column would now be 16 cm. $f_1=\frac{343 m/s}{4 (0.16m)}=540Hz$
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