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A particular train whistle has a rest frequency of 400 Hz. The speed of sound in

ID: 1517423 • Letter: A

Question

A particular train whistle has a rest frequency of 400 Hz. The speed of sound in air is 335 m/s. If the train is moving toward you at 25.0 m/s while you are at rest, what frequency would you hear? Show your work. In this case, the whistle sounds to you like a than when both you and the train are at rest. A. higher pitch B. lower pitch Suppose instead that you are moving toward the train at 25.0 m/s while the train is at rest. Now, what frequency would you hear? Show your work. In this case, the whistle sounds to you like a than when both you and the train are rest, A. higher pitch B. lower pitch

Explanation / Answer

Rest frequency f= 400 Hz

(a).Speed of train v = 25 m/s

Speed of sound V = 335 m/s

Required frequency f ' = [V/(V-v)]f

                                = [335/(335-25)]400

                                = 432.25 Hz

(b). Higher pitch

(c).

Required frequency f ' = [(V+v)/(V)]f

                                = [(335+25)/(335)]400

                                = 429.85 Hz

(d), higher pitch

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