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 543: 16.81

Answer

(b) there will be no standing waves at the lower frequencies.

Work Step by Step

The antinode spacing $d$ is $λ/2$. Using $v = fλ$, we arrive at $d = λ/2 = v/2f$. Now plugging in the data, we have $d = \frac{1540}{2(1)} = 0.77 m = 77 cm.$ The cranium is much smaller than 77 cm. As a result, there will be no standing waves within it at 1.0 kHz. The correct answer, therefore, is choice (b).
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