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A wire of density 9xx10^(-3) kg cm^(-3...

A wire of density `9xx10^(-3) ` kg ` cm^(-3)` is stretched between two clamps 1 m apart. The resulting strain in the wire is`4.9 xx10^(-4)` . The lowest frequency of the transverse vibrations in the wire is (Young’s modulus of wire Y= `9 xx 10^(10) "nm"^(-2)`) , (to the nearest integer), _______.

Text Solution

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In case of fundamental vibrations of a string
`f=(1)/(2L) sqrt((Y)/(rho)(DeltaL)/(L))=(1)/(2xx1) sqrt((9xx10^(10)xx4.9xx10^(-4))/(9xx10^(3)xx1))=35Hz`.
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