Vs = 0 V2> V1 V1 Obs, (Source Obs2 V3 = V1 Obs3

Glencoe Physics: Principles and Problems, Student Edition
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ISBN:9780078807213
Author:Paul W. Zitzewitz
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Chapter1: A Physics Toolkit
Section1.2: Mathematics And Physics
Problem 13SSC
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Shown below is a stationary source and moving observers. Describe the frequencies observed by the observers for this configuration.

Vs = 0
V2> V1
V1
Obs,
(Source
Obs2
V3 = V1
Obs3
Transcribed Image Text:Vs = 0 V2> V1 V1 Obs, (Source Obs2 V3 = V1 Obs3
Expert Solution
Step 1

Given data

The velocity of the source is vs=0

The velocity of the first observer is v1

The velocity of the second observer is v2

The velocity of the third observer is v3=v1

The expression for the observed frequency is,

fo=fsv±vov±vs

Here fo is absorbed frequency.

fs is source frequency.

v is the speed of sound

vo is the velocity of the observer.

vs is the velocity of the source.

Step 2

A positive sign is used in both numerator and denominator if the observer moves towards the stationary source from the above formula.


As in the given case for the first observer,

The expression for the observed frequency is,

fo=fsv+vov+vs=fsv+v1v+0=fsv+v1v

It is observed that in this case, the observed frequency is lower than the source frequency.


Thus, the frequencies observed by the first observer for this configuration is lower than the source frequency.

 

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