University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 16 - Sound and Hearing - Problems - Discussion Questions - Page 537: Q16.10

Answer

See explanation.

Work Step by Step

Equation 16.14 relates the sound intensity $I$ and the pressure amplitude $p_{max}$. $$I=\frac{p_{max}^2}{2\sqrt{\rho B}}$$ If the pressure amplitude is halved, the intensity is reduced by a factor of 4, i.e., it is one-fourth of its old value. To increase the intensity by a factor of 16, the pressure amplitude must be increased by a factor of 4.
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