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Boats A and B, are moving towards each other at 39.6 m/s when boat B starts...

Boats A and B, are moving towards each other at 39.6 m/s when boat B starts to beep its 367 Hz horn. Assuming that the speed of sound is 247 m/s, what is the wavelength of the horn as perceived by the captain of boat A?

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Answer #1

The formula for the apparent frequency when the observer is moving toward source and source is moving the observer is given by,

Given,

Actual frequency,

Speed of sound,

Speed of observer = Speed of source

Hence apparent frequency is

Hence apparent wavelength is

Hence the wavelength of the horn as perceived by the captain of boat A is .487 m.

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