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A metal wire of diameter 1 mm, is held o...

A metal wire of diameter `1 mm`, is held on two knife edges separated by a distance of `50 cm`. The tension produces `5` beats per sec. The tension in the wire is then reduced to `81 N`. When the are excited, beats are again at the same rate. Calculate
(a) The frequency of the fork , (b) The density of the material of the wire.

Text Solution

Verified by Experts

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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