Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 11 - Oscillations and Waves - Problems - Page 324: 47

Answer

$\sqrt{5.0}$ $\approx$ 2.2

Work Step by Step

If the wave speed, the medium density, and the frequency of the two waves are the same, then the intensity is proportional to the square of the amplitude. This is evident from equation 11–18. Let “1” be the less energetic wave, and “2” be the more energetic wave. $$\frac{I_2}{I_1}=5.0 = \frac{A_2^2}{A_1^2}$$ $$\frac{A_2}{A_1}=\sqrt{5.0}\approx 2.2$$ As expected, the wave with the larger amplitude carries more energy.
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