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Mechanical Properties Of Fluids

Question
CBSEENPH11018920
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Two waves of wavelengths 1m and 1.02m produce 13 beats in 2 seconds in air at NTP. Find the velocity of air at NTP.

Solution
Let v be the velocity of sound in air at NTP.
The frequency of wave of wavelength 1 m is, 
                    straight v subscript 1 equals v over 1 
The frequency of the second wave of wavelength 1.02 m is, 
                   space straight v subscript 2 equals fraction numerator v over denominator 1.02 end fraction 
The number of beats produced per second is, 
                 straight b equals 13 over 2 equals 6.5 
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               fraction numerator 0.02 over denominator 1.02 end fraction v equals 6.5 
      v equals 6.5 cross times 51 equals 331.5 space straight m divided by straight s, is the velocity of air at NTP. 

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