As you stand near a railroad track, a train passes by at a speed of 30.1 m/s whi

Question

As you stand near a railroad track, a train passes by at a speed of 30.1 m/s while sounding its horn at a frequency of 211 Hz. What frequency do you hear as the train approaches you and what frequency while it recedes? Take the speed of sound in air to be 344 m/s. Find approaching and receding.

The trains red lights are emitted at a wavelength of 690.000 nm. Find the change in wavelength that you see (include (-) sign where relevant). Find approaching and receding. Is this shift enough to see a color change?

Explanation / Answer

frequency of horn while approaching = original frequency * (speed of sound in air / (speed of sound in air + speed of train))

frequency of horn while approaching = 211 * (344 / (344 + 30.1))

frequency of horn while approaching = 194.02298 Hz

frequency of horn while receeding = original frequency * (speed of sound in air / (speed of sound in air - speed of train))

frequency of horn while receeding = 211 * (344 / (344 - 30.1))

frequency of horn while receeding = 231.23287 Hz

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