Hooke's Law and Stress-strain Curve

A bar of diameter $25\mathrm{mm}$ is subjected to tensile load such that the measured extension on gauge length of $200\mathrm{mm}$ is $0.1\mathrm{mm}$ and the change in diameter is  $0.1\mathrm{mm}$. The Poisson ratio will be?

The bulk modulus of a liquid is $3\times {10}^{10}{\mathrm{Nm}}^{-2}$. The pressure required to reduce the volume of liquid by $2\%$ is :

The linear strain in $x,y$ and $z$ directions are $e_x$, $e_y$ and $e_z$ respectively. Then the volumetric strain is given by

A cable breaks if stretched by more than $2\mathrm{mm}$. It is cut into two equal parts. By how much either part can be stretched without breaking

A steel wire of cross-sectional area $3\times {10}^{-6} {\mathrm{m}}^2$ can withstand a maximum strain of ${10}^{-3}$. Young's modulus of steel is $2\times {10}^{11} \mathrm{N} {\mathrm{m}}^{-2}$. The maximum mass this wire can hold is,

The dimensional formula of Young's modulus is: 

One end of a uniform bar of weight $W_1$ is suspended from the roof and a weight $W_2$ is suspended from the other end. The area of cross-section is $A$. What is the stress at the midpoint ?

A steel wire of $1 \mathrm{m}$ long and $1{ \mathrm{mm}}^2$ cross section area is hang from rigid support. When weight of $1 \mathrm{kg}$ is hung from it then change in length will be (given $Y=2\times {10}^{11} \mathrm{N} {\mathrm{m}}^{-2}$)

The relation between $\gamma ,\eta$ and $\mathrm{K}$ for a elastic material is

Choose the correct relation between $Y_A$ and $Y_B$ from the options if, the stress vs strain graph for two materials $A$ and $B$ is as shown below.

A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied. The force stretches their combined length by $1\mathrm{cm}.$The two wires will have

The dimensional formula of modulus of rigidity is _______________________?

Every material obeys Hooke’s law within its

A cast iron $\mathrm{T}$ section beam is subjected to pure bending for maximum compressive stress to be $3$ times the maximum tensile stress, centre of gravity of the section from flange side is _________.

What will be the unit of compressive stress?

For keeping the stress wholly compressive the load may be applied on a circular column anywhere within a concentric circle of diameter-

A copper and a steel wire of same diameter are connected end to end. A deforming force $F$ is applied to this composite wire which causes a total elongation of $1$ $\mathrm{cm}$. The two wires will have:

Young's modulus of a perfectly rigid body is

Dimensional formula of modulus of elasticity is

The unit of stress is _____.