Question

Asked Dec 28, 2019

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Two train whistles have identical frequencies of 1.80 x 10^{2} Hz. When one train is at rest in the station and the other is moving nearby, a commuter standing on the station platform hears beats with a frequency of 2.00 beats/s when the whistles operate together. What are the two possible speeds and directions that the moving train can have?

Step 1

Let *f* be the frequency of the whistle, *f _{s} *be the frequency of the train,

Write the expression for beat frequency.

Step 2

Let us first take the case if the train is moving towards the station. In this case, according to the dopplers effect, the actual frequency will be more than the normal frequency.

Write the actual frequency heard by the observer.

Step 3

Write the expression for the frequen...

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