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Homework Help: Relationship between Frequency and Standing Waveforms.

  1. Oct 1, 2013 #1
    Hi all, just a quick problem that I really cannot get my head around, any help would be appreciated.

    1. The problem statement, all variables and given/known data
    State, in detail, how the frequency affects the number of antinodes produced on string with a fixed tension, density and length.

    2. Relevant equations
    The frequency of a specific standing wave formation is: fn=(N/2L)(√T/µ), where f is frequency, N is number of antinodes, L is medium length, T is tension in the medium, and µ is the medium density. However I don't think many answers can be found within this equation, as more of this question is about theory rather than results.
    3. The attempt at a solution
    This question does not want answers in terms of any other variables, it wants to know in what way the frequency affects the various waveforms. I was thinking that a higher frequency produces more antinodes, possible because there are more points of interference produced, and more interference points means more antinodes, however I am not sure this is a complex enough explanation.

    Thankyou all in advance, I hope you can help.
  2. jcsd
  3. Oct 1, 2013 #2
    For increasing frequency, the number of nodes will increase as well. Draw several diagrams, double the frequency each time. Then you can deduce how frequency affects the nodes and antinodes.
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