find the wavelength of a train whistle heard by a fixedobserver as the train mov

Question

find the wavelength of a train whistle heard by a fixedobserver as the train moves toward the observer with a velocity of20.0m/s. A wind blows at 5.0m/s from the observer to the train. Thewhistle has a frequency of 500hz. a) 0.63m b) 0.69m c) 0.61m d) 0.71m find the wavelength of a train whistle heard by a fixedobserver as the train moves toward the observer with a velocity of20.0m/s. A wind blows at 5.0m/s from the observer to the train. Thewhistle has a frequency of 500hz. a) 0.63m b) 0.69m c) 0.61m d) 0.71m

Explanation / Answer

Given that
f = 500.0 Hz
v = 340 m/s,
vs= 20 m/s a
vw= 5.0 m/s
The frequency heard by the observer is               f ' = f * (v/v - (vs + vw))
                  = 500 * [ 340 / (340-20-5]
                  = 539.68 Hz
The wavelength of a train whistle heard by the observeris           = v / f'
            = 340 / 539.68
            = 0.63 m

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