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  4. If longitudinal strain for a wire is 0.03 and its Poisson's ratio is 0.5, then its lateral strain is

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Q. If longitudinal strain for a wire is $ 0.03 $ and its Poisson's ratio is $ 0.5, $ then its lateral strain is

J & K CETJ & K CET 2006Gravitation

Solution:

Poisson's ratio $ \sigma=\frac{\text{lateral strain}}{\text{longitudinal strain}} $
Given $ \sigma = 0.5$, longitudinal strain $= 0.03$
$=$ Lateral strain $= 0.5 \times 0.03$
$= 0.015$