Hooke’s law

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 :

A solid object having uniform density $\left(\rho \right)$ and varying cross-sectional area (which is circular) is placed on smooth horizontal surface as shown. Then the value of $\frac{R_1}{R_2}$ if the stress throughout its height remains same and having value equal to $\mathrm{c}$.

A tapered rod of non uniform cross-sectional area is fitted between two rigid supports. The rod is heated at the middle, then choose the incorrect options.

A stone of $0.5\mathrm{kg}$ mass is attached to one end of a $0.8\mathrm{m}$ long aluminum wire of $0.7\mathrm{mm}$ diameter and suspended vertically. The stone is now rotated in a horizontal plane at a rate such that wire makes an angle of ${85}^0$ with the vertical. If $Y=7\times {10}^{10}{\mathrm{Nm}}^{-2}$, $\sin 85°=0.9962$ and $\cos 85°=0.0872$, the increase in length of wire is

The Poisson's ratio of the material of a wire whose volume remains constant under an external normal stress is _____

If an ideal spring is stretehed by a force $F = 3 \mathrm{N}$ as shown then its length is observed to be $2 \mathrm{m}.$ If the value of $F$ is $4 \mathrm{N}$ instead of $3 \mathrm{N}$ then which of the following cannot be it’s length is second case?

A rod of length $1000 \mathrm{mm}$ and coefficient of linear expansion $\alpha ={10}^{-4}$ per degree is placed symmetrically between fixed walls separated by $1001 \mathrm{mm}$. Young's modulus of the rod is ${10}^{11}\mathrm{N} {\mathrm{m}}^{-2}$. If the temperature is increased by $20°\mathrm{C},$ then the stress developed in the rod is (in $\mathrm{N} {\mathrm{m}}^2$)

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 quality of the material which opposes the change in shape, volume, or length is called

The elastic limit for a gas,

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:

A typical stress-strain curve for a wire of a metal wire is shown below:

If the point D and E are very close, the material is:

The elastic behaviour of a body can be turned into plastic behaviour under the larger deforming force.

What do you understand by the plastic deformation of a body?

Permanent set refers to plastic strain in a material beyond _____ limit.

Define permanent set.

Permanent set in a material is produced by subjecting it to

Draw stress$‐$strain curve for a metal and explain permanent set.

Permanent set refers to:

More we increase the temperature, more is the thermal expansion of solids.