$A 3 \ m$ long steel wire is stretched to increase its length by $0.3 \ cm$. Poisson's ratio for steel is $0.26$. The lateral strain produced in the wire is

If Poisson's ratio $\sigma$ is $-\frac{1}{2}$ for a material,then the material is

For an elastic material,what is the relationship between Young's modulus $(Y)$ and the modulus of rigidity $(\eta)$?

The stress along the length of a rod (with rectangular cross-section) is $1 \%$ of the Young's modulus of its material. What is the approximate percentage of change of its volume (in $\%$)? (Poisson's ratio of the material of the rod is $0.3$.)

$A$ tension of $22 \,N$ is applied to a copper wire of cross-sectional area $0.02 \,cm^2$. Young's modulus of copper is $1.1 \times 10^{11} \,N/m^2$ and Poisson's ratio is $0.32$. The decrease in cross-sectional area will be:

$A$ 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 . . . . . . $\times 10^5 \ J/m^3$.