College Physics (7th Edition)

Published by Pearson
ISBN 10: 0-32160-183-1
ISBN 13: 978-0-32160-183-4

Chapter 14 - Sound - Learning Path Questions and Exercises - Exercises - Page 526: 50

Answer

(a) (1) moving toward. Explanation: Frequency heard by the person is greater than the frequency of the source. This is the case when the person is moving toward a stationary source. (b) 13.7 m/s

Work Step by Step

(a) Frequency heard by the person is greater than the frequency of the source. This is the case when the person is moving toward a stationary source. So the correct option is (1). (b) $f_{o}=520\,Hz$, $f_{s}=500\,Hz$, Speed of sound $v=(331+0.6T_{C})m/s=(331+0.6\times20)m/s=343\,m/s$ $f_{o}=(1+\frac{v_{o}}{v})f_{s}\implies$ $520\,Hz=(1+\frac{v_{o}}{343\,m/s})500\,Hz$ $\implies \frac{520}{500}=1.04=1+\frac{v_{o}}{343\,m/s}$ Or $0.04=\frac{v_{o}}{343\,m/s}$ Then, the person's speed $v_{o}=0.04\times343\,m/s=13.7\,m/s$
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