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  4. The increase in length on stretching a wire is 0.05%. If its Poissons ratio is 0.4, then its diameter will be

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Q. The increase in length on stretching a wire is 0.05%. If its Poissons ratio is 0.4, then its diameter will be

Rajasthan PMTRajasthan PMT 2010

Solution:

Poissons ratio $ =\frac{Lateral\,\,strain}{Longitudinal\,\,strain} $ $ \therefore $ Lateral strain $ =0.4\times \frac{0.5}{100} $ So reduced by $ ~0.02% $ .