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Waves - Sonometer Experiment Question - simple

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Applying to Uni? Let Universities come to you. Click here to get your perfect place 20-10-2014
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    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
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    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}  }
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    Blimey - I thought sonometers went out with the ark.
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    thanks, really appreciate it

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