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An open organ pipe has a fundamental frequency of 330 Hz. The first overtone of a closed organ pipe has the same frequency as the first overtone of an open pipe. What is the length of closed organ pipe (in cm)? (Speed of sound in air = 330 m/s)

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answer is 37.5.

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Detailed Solution

Fundamental frequency of an open organ pipe, f1=v2l0⇒lo=v2f1=3302×330=0.50=50cmGiven, first overtone of closed organ pipe = first overtone of open organ pipeHence, 3v4lc=2v2lolc=34lo=34(0.50)=0.375m=37.5cm

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An open organ pipe has a fundamental frequency of 330 Hz. The first overtone of a closed organ pipe has the same frequency as the first overtone of an open pipe. What is the length of closed organ pipe (in cm)? (Speed of sound in air = 330 m/s)