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Argument for relationship between scale length and frequency

  1. Sep 2, 2009 #1
    1. The problem statement, all variables and given/known data
    Give an argument for there being a connection between scale length and frequency


    2. Relevant equations

    scale length = (wave length) / (Length)


    3. The attempt at a solution

    So from only my physical intuition I'm coming up with the longer the scale length the longer the wave length and thus by f = v/(lambda) the smaller the frequency. But is there a more physical interpretation of this?
     
  2. jcsd
  3. Sep 2, 2009 #2
    It comes from the wave eq. (in one dimension, for instance):

    [tex]\partial[/tex]2y/[tex]\partial[/tex]x2=1/v2·[tex]\partial[/tex]2y/[tex]\partial[/tex]t2

    as v is derivated from the tension on the string and its linear density.
     
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