There is no change in the volume of a wire due to change in its length on stretching. The poisson's ratio of the material of the wire is
Medium
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$\therefore$ Volume $=$ constant $\quad \mathrm{K}=\frac{\mathrm{PV}}{\Delta \mathrm{V}}=\infty$
$Y=3 K(1-2 \sigma)$
$\Rightarrow 1-2 \sigma=\frac{Y}{3 K}=0 \Rightarrow \sigma=\frac{1}{2}$
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