College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 14 - Sound - Learning Path Questions and Exercises - Exercises - Page 524: 27

Answer

a). $(1)$ increases, b). $5W: 96dB$ $10W:99dB$

Work Step by Step

a). Since, Intensity level = $10log\frac{I}{I_{0}}=10log\frac{\frac{P}{Area}}{10^{-12}}$ Area is fixed, So, if P increases, intensity level also increases. b). Intensity level from 5W source= $10log\frac{I}{I_{0}}=10log\frac{\frac{5}{4\times pi\times 10^{2}}}{10^{-12}}=10 log(0.4\times10^{10)}=100-4=96dB$ Intensity level from 10W source= $10log\frac{I}{I_{0}}=10log\frac{\frac{10}{4\times pi\times 10^{2}}}{10^{-12}}=10 log(0.8\times10^{10)}=100-1=99dB$
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