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The identical piano wires kept under the...

The identical piano wires kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats//s when both the wires oscillate together would be

Text Solution

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Here, `n=600H, m=6 "beast"//sec.`
The fundamental frequency of vibration of wire is
`n=(1)/(2l)sqrt((T)/(m))`
`:. (Deltan)/(n)=(1)/(2)(DeltaT)/(T)`
`:' l` and m are constant)
`(DeltaT)/(T)=2 ((Deltan)/(n))=2xx(6)/(600)=(2)/(100)=0.02`
`:. (DeltaT)/(T)=2%`
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