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Question

The wavelength of two sound waves are 34.5 cm and 34.7 cm respectively. If the room temperature is 27C, then the frequency of beats produced by them is approximately: (velocity of sound in air at 27C=340 m/s)

A
2 Hz
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B
5 Hz
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C
8 Hz
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D
10 Hz
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Solution

The correct option is B 5 Hz
Given that
λ1=34.5 cm=34.5×102 m
λ2=34.7 cm=34.7×102 m
Speed of sound v=340 m/s
So, from formula,
f1=vλ1=34034.5×102=985.5985 Hz
and
f2=vλ2=34034.7×102=979.83980 Hz
So
Beat frequency =f1f2=985980=5 Hz

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