Give the relation between shear modulus $(G)$ and Young's modulus $(Y)$ for an isotropic material.

$A$ wire of length $L$ and radius $r$ is loaded with a weight $Mg$. If $Y$ and $\sigma$ denote the Young's modulus and Poisson's ratio of the material of the wire respectively,then the decrease in the radius of the wire $(\Delta r)$ is given by:

If the Young's modulus of the material is $3$ times its modulus of rigidity,then its volume elasticity (bulk modulus) will be:

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).

If $Y, K$ and $\eta$ are the values of Young's modulus,bulk modulus,and modulus of rigidity of any material respectively,choose the correct relation for these parameters.

For silver,Young's modulus is $7.25 \times 10^{10} \ N/m^2$ and Bulk modulus is $11 \times 10^{10} \ N/m^2$. Its Poisson's ratio will be