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: 35

Answer

$-1.9 \%$.

Work Step by Step

The frequency is related to the wavelength, $f=\frac{v}{\lambda}$. The speed of sound changes as a function of temperature; that is the first equation in Chapter 12. Find the change in frequency. $$\Delta f=f_{11} – f_{22} = \frac{331+(0.60)(11)}{\lambda}-\frac{331+(0.60)(22.0)}{\lambda}$$ We assume that the length of the pipe (and the resonant wavelength) did not change. Now find the percentage change. $$\frac{\Delta f}{f_{22}}=\frac{331+(0.60)(11)}{ 331+(0.60)(22.0)}-1=-1.92\times 10^{-2}=-1.9 \%$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.