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Question

Two sirens situated one kilometer apart are producing sound of frequency 330 Hz. An observer starts moving from one siren to the other with a speed of 2 m/s. If the speed of sound to be 330 m/s, what will be the beat frequency heard by the observer?

A
8
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B
4
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C
6
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D
1
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Solution

The correct option is B 4
Observer is moving away from siren 1 and towards the siren 2




Hearing frequency of sound emitted by siren 1
n1 = n(v vv) = 330(330 2330) = 328 HzHearing frequency of sound emitted by siren 2
n2 = (v + vv) = 330(330 + 2330) = 332 Hz
Hence, beat frequency = n2 n1
= 332 328= 4

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