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Iron man loves to listen to the Doppler Effect. While waiting for a commuter train that...

Iron man loves to listen to the Doppler Effect. While waiting for a commuter train that blows its 200-Hz horn as it approaches a crossing he observes the frequency to be 208 Hz. [It is a nice day and the speed of sound is 335 m/s] What frequency does he observe as the train moves away?

Science   Advanced-Physics   
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Answer #1

The formula for the Doppler shift is,

v0 is the speed of sound in the medium, vs is the velocity of source and is positive if the source is moving away (negative if moving towards). First we need calculate the speed of the train from the first case of doppler shift which is given. In that case the source is moving towards the observer therefore the doppler shift is,

Now, when the train is moving the frequency observed will be,

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