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A metal wire of diameter 1 mm is held on two knife edges separated by a distance of 50 cm. The tension in the wire is 100 N. The wire vibrating with its fundamental frequency and a vibrating tuning fork together produce 5 beats per sec. The tension in the wire is then reduced to 81 N. When the two are excited, beats are heard again at the same rate. Calculate (a) the frequency of the fork and (b) the density of the material of the wire. |
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Answer» SOLUTION :Since `f PROP sqrt(T)`, `(f+5)/(f-5)=(10)/(9) or f=95 Hz.` Substituting in `f=(1)/(2L) sqrt((T)/(pi r^(2)d))` We have `d=12.74xx10 kg m^(-3)` |
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