College Physics (4th Edition)

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

Chapter 12 - Problems - Page 463: 30


(a) The length of the pipe should be $0.656~m$ (b) The fundamental frequency is $252.3~Hz$

Work Step by Step

(a) We can find the length of the pipe: $\lambda = \frac{v}{f}$ $2L = \frac{v}{f}$ $L = \frac{v}{2f}$ $L = \frac{343~m/s}{(2)(261.5~Hz)}$ $L = 0.656~m$ The length of the pipe should be $0.656~m$ (b) At a temperature of $0.0^{\circ}C$, the speed of sound in air is $331~m/s$. We can find the fundamental frequency: $f = \frac{v}{\lambda}$ $f = \frac{v}{2L}$ $f = \frac{331~m/s}{(2)(0.656~m)}$ $f = 252.3~Hz$ The fundamental frequency is $252.3~Hz$
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