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Stationary waves

Question

A one meter long (both ends open) organ pipe is kept in a gas that has double the density air at STP. Assuming the speed of sound in air at STP is  300m/sec. The frequency difference between the fundamental and second harmonic in this pipe is __________ Hz

Moderate
Solution

Speed of sound in gas VS=γPρ VgasVair=ρairρgas=12 Vgas=3002                   Vgas=1502 Now       n2n1=Vgas2l=15022(1)=752=106.06                                            Δn=106.06Hz



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Similar Questions

A tube of certain diameter and of length 48 cm is open at both ends. Its fundamental frequency of resonance is found to be 320 Hz. The velocity of sound in air is 320 m/s. One end of the tube is now closed, considering the effect of end correction, calculate the lowest frequency of resonance for the tube (in Hz). 


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