An open pipe is suddenly closed at one end and with the result frequency of third harmonic of the closed pipe is found to be higher by 100 Hz than the fundamental frequency of the open pipe. What is the fundamental frequency of the open pipe?
200 Hz
For both ends open, fundamental frequency
2λ14=l⇒λ1=2l
∴v1=cλ1=c2l …(i)
For end closed the third harmonic
3λ24=l⇒λ2=4l3
v2=cλ2=3c4l …(ii)
From question
3c4l=100+c2l
c2l=200Hz.