A steel wire of cross-sectional area 3 x ${10}^{-6} {\mathrm{m}}^2$ can withstand a maximum strain of ${10}^{-3}$. If Young's modulus of steel is 2 x ${10}^{11} {\mathrm{Nm}}^{-2}$, then maximum mass which the wire can hold is: (Take g =10 $\mathrm{m}/{\mathrm{s}}^2$)

If Poisson's ratio $\mathrm{\sigma }$ is $\frac{1}{2}$ for material, then the material is

A wire can bear maximum force F. A wire of same material but triple radius can bear the maximum force of:

The increase in the length of a wire on stretching is 0.04%. If Poisson's ratio for the material of wire is 0.5, then the diameter of the wire will:

A force applied on a brass wire of uniform cross-section area creates change in its length and cross-sectional area. If lateral strain produced in the wire is $3 \mathrm{x} {10}^{-2}$, then the energy stored per unit volume of wire will be: [${\mathrm{Y}}_{\mathrm{brass}} = 9 \mathrm{x} {10}^{10} \mathrm{N}/{\mathrm{m}}^2, {\mathrm{\sigma }}_{\mathrm{brass}} = 0.3$]

A uniform wire of length 3m and mass 10 kg is suspended vertically from one end and loaded at another end by a block of mass 10 kg. The radius of the cross-section of the wire is 0.1 m. The stress in the middle of the wire is: (g = 10 ${\mathrm{ms}}^{-2}$)

A uniform wire is held at one end and stretched by applying force at the other end. If the product of the length of wire and area of cross-section of the wire remains unchanged, then Poisson's ratio of material of the wire will be:

A wire is loaded by a block of mass 10 kg which results in an increase in its length by 10 cm. The work done by a gravitational force which increases the temperature of the wire is:

Practical value of Poisson's ratio lies between:

Which of the following has the greatest elasticity?

Three identical balls of rubber, aluminium, and steel are dropped from the same height on a horizontal rigid surface. If ${\mathrm{V}}_{\mathrm{rubber}} {\mathrm{V}}_{\mathrm{Al}}, \mathrm{and} {\mathrm{V}}_{\mathrm{steel}}$ are their speeds just after the collision, then

A solid cylinder of radius 10 cm and length 1 m clamped from its one end is twisted through an angle of 0.4 rad by applying torque at another free end. The shear strain developed in the cylinder will be:

If two wires of the same material and of the same length have a ratio of their radii 1:2, then under the effect of same stretching force their respective elongation will be in the ratio of:

The metal rod (Y = 2 x ${10}^{12}$ dyne/sq. cm) of the coefficient of linear expansion 1.6 x ${10}^{-5}$ per °C has its temperature raised by 20°C. The linear compressive stress to prevent the expansion of the rod is:

One end of a uniform wire of length L and weight ${\mathrm{W}}_0$, is attached rigidly to a point in the roof and weight ${\mathrm{W}}_1$ is suspended from its lower end. If S is the area of cross-section of the wire, the stress in the wire at a height L/4 from its lower end is:

An elongation of 0.1% in a wire of cross-sectional area ${10}^{-6} {\mathrm{m}}^2$ causes tension of 100 N. The Young's modulus is:

The elongation (x) of a steel wire varies with the elongating force (F) according to the graph: (within elastic limit)

A steel ring of radius r and cross-section area A is fitted on to a wooden disc of radius R (R > r). If Y is Young's modulus of elasticity, then tension with which the steel ring is expanded is:

Young's modulus of a material is 2.4 times that of its modulus of rigidity. Its Poisson's ratio is:

The longitudinal strain of a string is equal to twice the magnitude of lateral strain. Poisson's ratio of the material of string is:

When a mass M is suspended by a wire, it elongates the wire by length l. The work done during this elongation process is:

Given that the breaking stress of a wire is 7.2 x ${10}^7$ N/ ${\mathrm{m}}^2$ and its density is 7.2 g/cc, then the maximum length of the wire which can hang without breaking is: (g = 10 m/${\mathrm{s}}^2$)

Work done in increasing the length of a 1 m long wire by 1 mm is 10 J. Work done in increasing the length further by 1 mm is:

If the pressure of a gas is increased from 1.04 x ${10}^5$ Pa to 1.045 x ${10}^5$ Pa and volume is decreased by 5% at a constant temperature, then the Bulk modulus of the gas is:

The breaking strength of the iron wire of radius r and length l is 2 x ${10}^6 \mathrm{N}/{\mathrm{m}}^2$. Breaking strength of another iron wire of radius r, and length l at the same temperature will be:

The stress-strain curve for two materials A and B are as shown in the figure. Select the correct statement-

A material has Poisson's ratio of 0.5 and  If a uniform rod of it suffers a longitudinal strain of 4 x ${10}^{-6}$, then the percentage change in its volume will be

Select the incorrect statement about Bulk modulus of elasticity.

The Poisson's ratio of a material is 0.5, then $\left(\frac{\mathrm{Y}}{\mathrm{B}}\right)$ is: (Y is Young's modulus, B is Bulk modulus)

The figure below shows the stress-strain curve for two bodies A and B.

Choose the correct option.