University Physics with Modern Physics (14th Edition)

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

Chapter 35 - Interference - Problems - Exercises - Page 1185: 35.59

Answer

Choice C.

Work Step by Step

The movement of one speaker by 0.34 m turned a point of constructive interference (where a crest from one speaker met a crest from the other speaker) into one of destructive interference (where a crest now meets a trough). The distance moved was half of a wavelength. $$0.34m=\frac{\lambda}{2}$$ $$\lambda=0.68m$$ Now find the frequency. $$f=\frac{v}{\lambda}=\frac{340m/s}{0.68m}=500 Hz$$
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