$A$ 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 $\%$)?

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

On all the six surfaces of a unit cube,an equal tensile force of $F$ is applied. The increase in length of each side will be ($Y =$ Young's modulus,$\sigma =$ Poisson's ratio).

For a homogeneous isotropic material, which one of the following cannot be the value of Poisson’s ratio?

When a wire of length $10 \ m$ is subjected to a force of $100 \ N$ along its length,the lateral strain produced is $0.01 \times 10^{-3} \ m$. The Poisson's ratio was found to be $0.4$. If the area of cross-section of the wire is $0.025 \ m^2$,its Young's modulus is:

$A$ 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 $, mm$)?