A rod of uniform cross-sectional area 10 ${\mathrm{mm}}^2$, weighing 5 kg and length 2 m is suspended vertically from a fixed support. What is the elongation produced in the rod?

(Young's modulus for rod = 2 x ${10}^{11} \mathrm{N}/{\mathrm{m}}^2$)

Unit of tensile strain is:

Compressibility of a substance is equal to reciprocal of:

For two different material wires of the same dimensions, Young's modulus is:

When a load of 1 kg is hung from the wire, then the extension of 2 mm is produced. Then work done by restoring force is:

The longitudinal strain is possible in:

Breaking stress of a steel wire of length L and radius r is F. If its radius is doubled and length is halved, its new breaking stress will be:

Compressed rubber ball has:

Stress vs strain graph for two different wires A and B are given. If ${\mathrm{Y}}_{\mathrm{A}} \mathrm{and} {\mathrm{Y}}_{\mathrm{B}}$ are Young's moduli of the materials, then:

Hooke's Law is obeyed within:

The length of a wire is 2.01 m when 5 kg is hanging from it and 2.02 m when 10 kg is hanging, then the natural length of wire is:

Elongation in the wire of length L and Young's modulus of Y when blocks of weight W each are hung as shown below-

A uniform rod suspended from the ceiling gets elongated by its own weight. Which one of the following graphs represents the variation of elongation with L length?

The diagrams represent the potential energy U as a function of interatomic separation r. Which of the following diagrams corresponds to stable molecules found in nature?

The maximum load that a wire can bear is W. If the wire is cut to half of its length, then the maximum load it can sustain is:

Two wires X and Y of the same length are made of the same material. The figure represents the load F versus extension $∆\mathrm{x}$ graph for the two wires. Hence:

When a helical spring is stretched, then the kind of strain produced in it is:

If stress versus strain plot for a metal at two different temperatures ${\mathrm{T}}_1 \mathrm{and} {\mathrm{T}}_2$ are shown below, then:

A metallic rope of diameter 1 mm breaks at 10 N force. If the wire of the same material has a diameter of 2 mm, then the breaking force is:

In which of the following cases, an elastic metal rod will not undergo elongation?

The ratio of Young's modulus of wire A to wire B:

In the following questions, a statement of assertion (A) is followed by a statement of the reason (R).

A: Steel is more elastic than rubber.

R: Deformation in steel is less than rubber for equal forces.

In the following questions, a statement of assertion (A) is followed by a statement of the reason (R)

A: Hooke's law is applicable up to the elastic limit.

R: Up to the elastic limit stress is directly proportional to strain.

In the following questions, a statement of assertion (A) is followed by a statement of the reason (R)

A: Air is more elastic than iron.

R: Elasticity is directly proportional to Bulk modulus and the Bulk modulus of air is more than that of steel

In the following questions, a statement of assertion (A) is followed by a statement of the reason (R)

A: Almost for all metals, the modulus of elasticity decreases with a rise in temperature.

R: By increasing temperature, the intermolecular force decreases.

The Poisson's ratio of a material is 0.4. If a force is applied to a wire of this material, there is a decrease in the cross-section area by 2%. In such a case the percentage increase in its length will be:

For a given material, Young's modulus is 2.4 times the modulus of rigidity. Its Poisson's ratio is-

A wire of length L, area of cross section A is hanging from a fixed support. The length of the wire changes to ${\mathrm{L}}_1$ when mass M is suspended from its free end. The expression for Young's modulus is:

A steel wire of length 4.7 m and cross-sectional area 3.0 × ${10}^{-5} m^2$ is stretched by the same amount as a copper wire of length 3.5 m and cross-sectional area of 4.0 × ${10}^{-5} m^2$under a given load. The ratio of Young’s modulus of steel to that of copper is:

$$\begin{gathered} \left(1\right) 1.79 : 1 \\ \left(2\right) 1: 1.79 \\ \left(3\right) 1: 1 \\ \left(4\right) 1.97 : 1 \end{gathered}$$

The figure shows the strain-stress curve for a given material. What is Young’s modulus for this material?

$$\begin{gathered} \left(1\right) 7.5\times {10}^{11} N m^{-2} \\ \left(2\right) 7.5\times {10}^{10} N m^{-2} \\ \left(3\right) 7.5\times {10}^9 N m^{-2} \\ \left(4\right) 7.5\times {10}^{-10} N m^{-2} \end{gathered}$$