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 354: 18

Answer

4.8

Work Step by Step

The intensity is given by equation 11–18, $I=2 \pi^2 \rho v f^2 A^2$. If the only difference between the waves is their frequencies, then the ratio of the intensities is the ratio of the square of the frequencies. Let “1” label the lower-frequency sound wave, and “2” label the higher-frequency wave. $$\frac{I_2}{I_1}=\frac{(2.2f)^2}{f^2}\approx 4.8$$
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