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Question

A train standing at a certain distance from a railway platform is blowing a whistle of frequency 500 Hz. If the speed of sound is 340 ms1, the frequency and wavelength of the sound of the whistle heard by a man running towards the engine with a speed of 10 ms1 respectively are

A
500 Hz, 0.7 m
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B
500 Hz, 0.68 m
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C
486 Hz, 0.7 m
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D
515 Hz, 0.68 m
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Solution

The correct option is D 515 Hz, 0.68 m
Since the source of sound is stationary, the wavelength remains unchanged by the motion of the observer.
Therefore, λ=vf=340500=0.68 m
The frequency of sound heard by the observer, f=Speed of sound relative to the observerWavelength
=340+100.68=514.7515 Hz
Hence, the correct choice is (d).

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