the fundamental frequency of an open organ pipe corresponds tothe note middle C

Question

the fundamental frequency of an open organ pipe corresponds tothe note middle C (f=261.6 Hz on the chromatic musicalscale). the third harmonic ( f3 ) of anotherorgan pipe that is closed at one end has the same frequency. compare the lengths of these two pipes. (Lclosed / Lopen) the fundamental frequency of an open organ pipe corresponds tothe note middle C (f=261.6 Hz on the chromatic musicalscale). the third harmonic ( f3 ) of anotherorgan pipe that is closed at one end has the same frequency. compare the lengths of these two pipes. (Lclosed / Lopen)

Explanation / Answer

Lclosed/Lopen =(3v/(4f3))/(v/(2f1))                          =3/2                           (f1 =f3)

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