Mechanical Properties of Solids

Which of the following describes 'Elastic Fatigue'?

If the force applied to a wire is doubled and the area of cross-section is also doubled, the stress will:

In a stress-strain graph, the region where the curve is a straight line is the region where:

What is the unit of the ratio (Stress / Strain)?

The permanent deformation in a wire when the applied stress is removed after crossing the elastic limit is known as:

A material has a Young's modulus of $1.2 \times 10^{11}\text{ N/m}^2$ and a Poisson's ratio of $0.2$. Its Bulk Modulus is:

For which of the following is the Modulus of Rigidity zero?

A small mass $m$ is attached to the end of a metallic wire of length $L$, cross-sectional area $A$, and Young's modulus $Y$. The mass is whirled in a horizontal circle on a smooth frictionless floor with a constant angular velocity $\omega$. If the longitudinal strain produced in the wire is $\epsilon$, then the ratio of the kinetic energy of the rotating mass to the elastic potential energy stored in the wire is (Assume $\epsilon \ll 1$ and the extension in the wire $\Delta L \ll L$):

Two wires of the same material have lengths $L$ and $2L$ and radii $R$ and $R/2$ respectively. If they are stretched by the same force, the ratio of their prolongations is:

A wire of length $L$ and area $A$ is made of a material of Young's modulus $Y$. It is stretched by an amount $x$. The work done is:

Hooke's Law is essentially a statement about:

Which of the following is the correct unit for Bulk Modulus?

What happens to the wire at the 'breaking point' on a stress-strain graph?

In Hooke's Law, the constant of proportionality depends on:

In a wire, when the temperature increases, its length increases. If the wire is clamped between two rigid supports, the thermal stress produced in the wire is proportional to:

The area under the stress-strain curve (within the elastic limit) represents:

The Young's modulus of a wire is $Y$. If the length of the wire is doubled and its radius is halved, the Young's modulus will be:

A spring is stretched by $2 cm$ by a certain load. If it is cut into two equal parts and the same load is applied to one of the parts, the extension will be:

The ratio of the diameters of two wires of the same material is $n$. If they are stretched by the same load, the ratio of their extensions is:

A wire is loaded by $6 kg$ and its length increases by $1.2 mm$. If the radius of the wire is doubled and the length is tripled, then for the same load, the increase in length will be:

When a force is applied perpendicular to the cross-sectional area of a cylinder, it produces:

An elastomer is a material which:

For most solids, the value of Poisson's ratio lies between:

What is the unit of Compressibility in SI units?

A copper wire of length $2\text{ m}$ is suspended from the ceiling. A mass of $10\text{ kg}$ is attached to its lower end. If the radius of the wire is $1\text{ mm}$, find the stress. (Take $g = \pi^2 \approx 10\text{ m/s}^2$)

A wire is stretched to double its length. The strain is:

Which of the following constants is relevant when a solid cube is compressed by a force acting normally on all its faces?

The work done in increasing the length of a $1\text{ m}$ long wire from $1.01\text{ m}$ to $1.02\text{ m}$ is $W$. The work done in increasing the length from $1.02\text{ m}$ to $1.03\text{ m}$ is:

An elevator cable is to support a maximum load of $2000\text{ kg}$. If the maximum allowable stress is $1.5 \times 10^8\text{ N/m}^2$, the minimum diameter of the cable required is ($g = 10\text{ m/s}^2$):

For a given material, $Y = 2.4\eta$. What is the value of the Bulk modulus $B$ in terms of $\eta$?

When work is done against internal restoring forces in a solid, it is stored as:

The ratio of energy density to (stress $\times$ strain) is:

A wire is stretched by a force $F$ resulting in extension $x$. If the force is doubled (within elastic limit), the energy stored becomes:

Elastic potential energy is stored in a body due to:

The energy stored per unit volume of a wire is $u$. If the tension is $T$ and area of cross-section is $A$, then Young's modulus $Y$ is:

The ratio of the elastic potential energy per unit volume for two wires of the same material having diameters in the ratio $1:2$ and subjected to the same stretching force is:

A wire of length $L$ is stretched by $l$ with a force $F$. If the force is increased to $2F$, the new extension is $2l$. The work done in the second case is:

If the volume of a wire remains constant when stretched, the ratio of the energy stored per unit volume for a strain $\epsilon$ to that for a strain $2\epsilon$ is:

When a wire is stretched, the work done in stretching the wire is stored as elastic potential energy. This energy comes from:

The energy density of a stretched wire is $u$. When the stretching force is $F$, the energy density is $u$. What will be the energy density when the stretching force is $F/2$?

Strain is defined as the ratio of change in dimension to the original dimension. What is its SI unit?

In the stress-strain graph, the point where the material actually breaks is called:

Which of the following materials is an example of an elastomer?

The maximum stress a material can withstand without permanent deformation is its:

Why is Steel considered more elastic than Rubber in Physics?

The 'Ultimate Tensile Strength' (UTS) of a material is defined as:

A wire is stretched such that it reaches the plastic region. When the load is removed, the wire:

Comparing two wires of the same dimensions, Wire 1 has a steeper slope in the elastic region of the stress-strain curve compared to Wire 2. If both wires are used to hang identical weights, which wire will undergo more 'thinning' (reduction in cross-section) assuming the same Poisson's ratio?

A metallurgical engineer observes the stress-strain curve of a sample. Beyond the yield point $Y$, the sample is unloaded from point $P$ in the plastic region. The unloading curve follows a path parallel to the initial linear portion. What does the intercept on the strain axis represent?

A biomedical researcher is studying the aorta (a major artery). The stress-strain curve for this tissue does not have a well-defined linear region and returns to the origin without permanent deformation but following a different path. This material is classified as:

Which of the following is an example of an application where high elasticity is a disadvantage?

Brittle materials are those which:

Ductile materials are those which have a:

The ratio of shear stress to shear strain is called:

A steel wire of diameter $2 \text{ mm}$ is replaced by another steel wire of diameter $4 \text{ mm}$ to lift the same load. The stress in the second wire will be:

A pillar with a rounded top (dome-like) is often used in architecture because:

The ultimate tensile strength of a material is:

A bridge is constructed with steel girders. If the temperature increases, the 'thermal stress' produced in the girders (if ends are fixed) depends on which combination of properties?

If the Poisson's ratio of a material is $0.5$, then the material is:

In structural engineering, 'buckling' of a column is most likely to occur when: