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Question

A source of sound is moving with a velocity of 50ms1 towards a stationary observer. The observer measures the frequency of sound as 500Hz. The apparent frequency of sound as heard by the observer when source is moving away from him with the same speed is (Speed of sound at room temperature 350ms1)

A
400Hz
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B
666Hz
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C
375Hz
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D
177.5Hz
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Solution

The correct option is D 375Hz
Speed of sound, v=350 m/s
Speed of source, vs=50 m/s
Let the original frequency of the source be fo.
Apparent frequency heard by observer when a source moves towards the stationary observer :
f=fo[vvvs]

500=fo[35035050] fo=428.6 Hz

Apparent frequency heard by observer when a source moves away from the stationary observer :
f′′=fo[vv+vs]

f′′=428.6[350350+50] =375 Hz

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