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Sound Waves - Close End Pipe

  1. Mar 17, 2012 #1
    1. The problem statement, all variables and given/known data
    A tube is closed at one end by a piston which is slowly withdrawn as a tuning fork of frequency 512 Hz is sounded over it. What is the shortest length of pipe which will resonate with the fork?
    (Speed of sound is 340m/s)


    2. Relevant equations
    L=1/4λ
    f=v/(4L)

    3. The attempt at a solution
    Since the question wants the shortest length for resonance, so set L=1/4λ → 4L=λ
    Then, f=v/(4L) → 512=340/(4L) → L=0.16m

    Is the answer and the way i approached this question correct?
     
  2. jcsd
  3. Mar 17, 2012 #2

    ehild

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    Gold Member

    It is correct but a little rounding error.

    ehild
     
  4. Mar 17, 2012 #3
    Thanks :D
     
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