$A$ material has a Poisson's ratio of $0.50$. If a uniform rod made of this material suffers a longitudinal strain of $2 \times 10^{-3}$,what is the percentage change in its volume (in $\%$)?

Liquids have no Poisson's ratio,because

$A$ cylindrical wire of radius $1\, mm$,length $1\, m$,Young's modulus $Y = 2 \times 10^{11}\, N/m^2$,and Poisson's ratio $\mu = \pi / 10$ is stretched by a force of $100\, N$. What will be its new radius (in $, mm$)?

$A$ steel wire of length $2 \ m$ and Young's modulus $2.0 \times 10^{11} \ N/m^2$ is stretched by a force. If Poisson's ratio and transverse strain for the wire are $0.2$ and $10^{-3}$ respectively,then the elastic potential energy density of the wire is . . . . . . $\times 10^5 \ J/m^3$.

Which of the following is the correct relation between Young's modulus $(Y)$ and Poisson's ratio $(\sigma)$?

If the longitudinal strain of a stretched wire is $0.2 \%$ and the Poisson's ratio of the material of the wire is $0.3$,then the volume strain of the wire is (in $\%$)