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Question

A car moving with a speed of 72 km-hour−1 towards a roadside source that emits sound at a frequency of 850 Hz. The car driver listens to the sound while approaching the source and again while moving away from the source after crossing it. If the velocity of sound is 340 ms−1,the difference of the two frequencies, the driver hears is

A
50 Hz
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B
85 Hz
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C
100 Hz
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D
150 Hz
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Solution

The correct option is C 100 Hz
The speed of the car is 72km/h=20m/s
The frequency of source while approaching the source=f0(340+20340)
The frequency of source while moving away from the source=f0(34020340)
Hence the difference in the observed frequencies=40340f0=100Hz

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