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

Q: If longitudinal strain for a wire is 0.03 and its Poisson’s ratio is 0.5, then its lateral strain is

(a) 0.003

(b) 0.0075

(c) 0.015

(d) 0.4

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Ans: (c)
Sol: $\displaystyle Poisson’s \; ratio = \frac{lateral \; strain}{longitudinal \; strain }$

$\displaystyle 0.5 = \frac{lateral \; strain}{0.03 }$

lateral strain = 0.015