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Stretched wire - Finding the frequency of oscillation

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A wire of density 9gm/cm^3 is stretched between two clamps 100cm apart subjected to an extension of 0.05 cm. What is the lowest frequency of transverse vibrations in the wire, assuming the Young's modulus to be 9x10^11 dynes/cm^ ?

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Solution Preview

Length of the wire, L = 100cm

Extension dL = 0.05cm

therefore strain in the wire = dL/L

= 0.05/100 ...

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