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A metallic wire of length 3 m is stretch...

A metallic wire of length 3 m is stretched to produce an elongation of 2 mm. IF the diameter of the wire is 1mm, then find the decrease in its diameter due to this elongation.Poisson's ratio for the material of the wire is 0.24.

Text Solution

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Poisson. s ratio , `sigma=d/D.L/lor,d=(sigmaDl)/L`
Here, `sigma=0.24,D=1mm=10^-3m,L=3m,`
`l=2mm=2times10^-3m`
`therefored=(0.24times10^-3times2times10^-3)/3=1.6times10^-7m`
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