The Doppler shift formula for the frequency detected is where f ' is the frequency emitted, v is the speed of sound, v_D is the speed of the detector, and v_s is the speed of the source.Suppose the source is traveling at 5 m/s away from the detector, the detector is traveling at 7 m/s toward the source, and there is a 3 m/s wind blowing from the source toward the detector.The values that should be substituted into the Doppler shift equation are: A)v_D = 7 m/s and v_s = 5 m/s B)v_D = 10 m/s and v_s = 8 m/s C)v_D = 4 m/s and v_s = 2 m/s D)v_D = 10 m/s and v_s = 2 m/s E)v_D = 4 m/s and v_s = 8 m/s

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Quizplus · Accepted Answer

We have v_D = 7 m/s (detector moving toward the source), v_s = -5 m/s (source moving away from the detector), and v = 343 m/s (speed of sound). The wind speed is not needed in this calculation since it is perpendicular to the direction of the sound waves. Substituting these values into the Doppler shift equation gives: f' = f(v + v_D)/(v - v_s) = f(343 + 7)/(343 + 5) = 1.02 f Therefore, the detected frequency is slightly higher than the emitted frequency (a higher pitch). Choice B is the only option with the correct values for the speeds and is therefore the best choice.

The Doppler Shift Formula for the Frequency Detected Is