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F frequency of small diameter organ pipe

  1. Dec 17, 2005 #1
    This is a multiple choice question

    The fundamental frequency of a small diameter organ pipe is

    a) directly proportional to its length
    b) inversely proportional to its length
    c) independent of its length
    d) inversely proportional to its diameter
    e) directly proportional to its diameter

    well this is what i know (assume)

    the organ pipe is closed at one end

    what formulas should i consider solving this problem
  2. jcsd
  3. Dec 17, 2005 #2


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    go to text
  4. Dec 17, 2005 #3

    whats that suppose to mean
  5. Dec 17, 2005 #4


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    in your text book i think they have derived formulae for fundamental frequency and their overtones for open and cloced organ pipes, with the diagrams.
  6. Dec 17, 2005 #5
    the only formula i see is

    Ln=(2n=1) wavlength/4

    which doesnt describe the question

    Right now I am thinking that the diameter has no effect because, all diameter does is increase or decrease the amplitude of the wavelength which effects the loudness or intensity of the sound.

    So therefore d and e are eliminated

    The length of the pipe determines how many waves can fit in the pipe.

    umm so confused
  7. Dec 18, 2005 #6


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    dont get confused,
    The formula is about the of a closed tube rasonating with nth harmonic of a given frequency f, and is
    Ln=(2n-1) wavlength/4
    ( if it is + it is for nth overtone)
    (n = 1) gives first hormonic or fundamentalfrequency,length is wavlength/4
    (n = 2) gives first overtone frequency, length is 3*wavlength/4
    (n = 3) gives second overtone frequency, length of tube is 5*wavlength/4 and so on
    forget this here
    Now on to the question
    The frequency is given by
    f = c/lembda = wave velocity / wavelength
    in a colsed organ pipe standing waves will be produces with wavelength
    4L(fundamental)= f0
    4L/3(first overtone) = f1 = 3f0
    5L/4(second overtone) =f2 =5f0 and so on
    so the fundamental frequency of a close orgon pipe is
    f0 = c/(4*L)
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