Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 17 - Waves-II - Problems - Page 512: 95c

Answer

$\beta=99$ dB

Work Step by Step

To find sound level, the formula using intensity and sound level must be used. This formula is $$\beta=10log(\frac{I}{I_o})$$ where $I_o$ is the threshold of hearing, $1.0 \times 10^{-12}W/m^2$. Substituting value of $I_o$ and $I=0.0080W/m^2$ yield $$\beta=10log(\frac{0.0080W/m^2}{1.0 \times 10^{-12}W/m^2})=99dB$$
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