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 - Search and Learn - Page 358: 5

Answer

$f_1=131Hz$ G4, C5, E5, and G5 are the 3rd, 4th, 5th, and 6th harmonics respectively.

Work Step by Step

$fn=392Hz$ $f(n+1)=523Hz$ $f(n+2)=659Hz$ $f(n+3)=784Hz$ By taking the average of the differences, the answer is approximately 131Hz From $f_1=\frac{v}{2l}$, we know $l=1.31m$ Therefore, G4, C5, E5, and G5 are the 3rd, 4th, 5th, and 6th harmonics respectively.
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