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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
ok the equation relating fundamental frequency of a transverse wave on a string is
Unparseable latex formula:

$f_0=\frac{1}{2l}\sqrt{\frac{T}{\rho}}


which rearranges to
Unparseable latex formula:

$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 ρ\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
Unparseable latex formula:

$\frac{1}{2}\sqrt{\frac{T}{\rho}}

:smile:
Reply 2
Avatar for teachercol
teachercol
9
Blimey - I thought sonometers went out with the ark.
Reply 3
Avatar for vthenry
vthenry
OP
thanks, really appreciate it

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