The possible value of Poisson's ratio is

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

Choose the correct relationship between Poisson's ratio $(\sigma)$,bulk modulus $(K)$,and modulus of rigidity $(\eta)$ of a given solid object:

Explain Poisson's ratio and show that its value is less than $0.5$.

$A$ 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 $, mm$)?

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