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Two identical flutes produce fundamental notes of frequency 300 Hz at 270C . If the temp of the air in one flute is increased to 310C.  The number of beats heard per second will be

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detailed solution

Correct option is B

V2V1=273+31273+271/2=3043001/2=(152150)1/2  We know,  frequency is proportional to speed of sound ∴n2n1=V2V1=1+21501/2 ≃1+1150 use binomial approx⇒n2= 300×1+1150=300+2=302 Hz∴beat frequency =302−300=2 Hz


Similar Questions

A metal wire of diameter 1.5 mm is held on two knife edges separated by a distance 50 cm the tension in the wire is 100 N the wire vibrating with its fundamental frequency and vibrating tuning fork together produces 5 beats per second. The tension in the wire is then reduced to 81 N, when the two are excited, beats are heard at the same rate. Calculate frequency of the fork.


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