A sound source moves along an x axis, between detectors A and B. The wavelength of the sound detected at A is 0.500 that of the sound detected at B.What is the ratio ν s / ν of the speed of the source to the speed of sound?

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A sound source moves along an x axis, between detectors A and B. The wavelength of the sound detected at A is 0.500 that of the sound detected at B.What is the ratio       ν          s            /    ν of the speed of the source to the speed of sound?

Gemma Conley · Accepted Answer

Givens:The wavelength of the sound source detected at A is 0.5 that of the sound detected at B.      f          A        ′    =  f      v          v      −              v                  s                      =      1          1      −              v                  s                            /            v      And      f          B        ′    =  f      v          v      +              v                  s                      =      1          1      +              v                  s                            /            v      Thus            f              A            ′              f              B            ′        =            λ              B                    λ              A              =            1      +              v                  s                            /            v              1      −              v                  s                            /            v      Since       λ          A        =  0.5      λ          B       given.  2  =            1      +              v                  s                            /            v              1      −              v                  s                            /            v      By solving for       v          s            /    v            v              s              v    =      1    3  Result:            v              s              v    =      1    3

A sound source moves along an x axis, between detectors A and B. The wavelength of the sound detected at A is 0.500 that of the sound detected at B. What is the ratio ν_s/ν of the speed of the source to the speed of sound?

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