Waves - Sonometer Experiment Question - simple

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  1. vthenry's Avatar
    • Junior Member
    • Location: Nottingham
    • Posts: 57
    Waves - Sonometer Experiment Question - simple
    Hey guys, in the experiment i did i had to vary the length of the wire and locate the fundamental frequency. after doing that i had to Plot L against 1/f1 f1 being fundamental freq, and L being length of wire...


    what does this graph represent its gradient, its intercepts..

    any help would be greatly appreciated

    vthenry
  2. thelostchild's Avatar
    • Benevolent Member
    • Location: London
    • Posts: 843
    Re: Waves - Sonometer Experiment Question - simple
    ok the equation relating fundamental frequency of a transverse wave on a string is
    $f_0=\frac{1}{2l}\sqrt{\frac{T}{  \rho}}
    which rearranges to
    $l=\frac{1}{2f_0}\sqrt{\frac{T}{  \rho}}
    where T is the tension in the string, l is the length of the string and \rho is the mass per unit length of the string.
    you should be able to find a derivation of this in an alevel physics text. (well it is in mine, but then again I am using a book from the 1980's !)

    your graph should therefore be a straight line through the origin with a gradient of $\frac{1}{2}\sqrt{\frac{T}{\rho}  }
    Last edited by thelostchild; 05-03-2008 at 16:36.
  3. teachercol's Avatar
    • Vengeful, Imperial Overlord of The Student Room
    • Location: Scarborough
    • Posts: 3,867
    Re: Waves - Sonometer Experiment Question - simple
    Blimey - I thought sonometers went out with the ark.
  4. vthenry's Avatar
    • Junior Member
    • Location: Nottingham
    • Posts: 57
    Re: Waves - Sonometer Experiment Question - simple
    thanks, really appreciate it
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