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 - Exercises - Page 538: 16.4

Answer

$3.86 \times 10^{3} Hz$

Work Step by Step

We know that $p_{max} = BkA$. Since $k = 2\pi /\lambda = 2\pi f /\nu$, $p_{max} = \frac{2\pi fBA}{\nu}$. For $\nu = 344 m/s$, we have . . . $f = \frac{\nu p_{max}}{2\pi BA} = \frac{(344)(10)}{2\pi (1.42 \times 10^{5})(10^{-6})} = 3.86 \times 10^3 Hz$.
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