Mechanical properties of solids practice · Mixed difficulty

Young's modulus is defined as the ratio of

If longitudinal strain for a wire is $\mathrm{0}\mathrm{.03}$ and its Poisson’s ratio is $\mathrm{0}\mathrm{.5}$, then its lateral strain is

An aluminium rod has a breaking strain 0.1%. The minimum cross-sectional area of the rod in ${m^2}$ in order to support a load of ${10^6}\,N$ is if (Young’s modulus is $7 \times {10^9}\,\,N{m^{ - 2}})$

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

Assertion (A): The unit of stress is same as that of pressure.

Reason (R): Stress is a vector quantity.

In the light of above statements, select the correct option.

Write copper, steel, glass and rubber in order of increasing coefficient of elasticity.

Compressibility is the reciprocal of:

An iron bar of length $L$, cross-section $A$ and Young’s modulus $Y$ is pulled by a force $F$ from both ends so as to produce an elongation $l$. Which of the following statement is correct?

Given below are two statements: one is labelled as
Assertion (A) and the other is labelled as Reason
(R).

Assertion (A): The property of body, by virtue of
which it tends to regain its original shape when the
external force is removed, is Elasticity.

Reason (R): The restoring force depends upon the
bonded inter atomic and inter molecular force of
solid.

In the light of the above statements, choose the
correct answer from the options given below:

A rubber cord catapult has cross-sectional area $25\,\,m{m^2}$ and initial length of rubber cord is $10\,\,cm$. It is stretched to $5\,\,cm$ and then released to project a missile of mass $5\,\,gm$. Taking ${Y_{rubber}} = 5\,\, \times {10^8}\,N/{m^2}$ velocity of projected missile is

Which one of the following quantities does not have the unit of force per unit area

Statement-I: We cannot define Young's modulus and rigidity modulus for liquids and gases.
Statement-II: The theoretical limits of Poisson's ratio are $-1$ to $0.5$

In materials like aluminium and copper, the correct order of magnitude of various elastic modulii is:

Longitudinal strain is possible in

A structural steel rod has a radius of $10 \mathrm{~mm}$ and length of $1.0 \mathrm{~m}$. A $100 \mathrm{kN}$ force stretches it along its length. Young's modulus of structural steel is $2 \times 10^{11} \mathrm{Nm}^{-2}$. The percentage strain is about

A cable that can support a load $w$ is cut into two equal parts. The maximum load that can be supported by either part is

Which of the following elastic moduli is used to describe the elastic behaviour of object as they respond to the deforming forces acting on them?

A copper rod of length 0.19 m is moving with a uniform velocity 10 m/s parallel to a long straight wire carrying current of 5.0 A. The rod itself is perpendicular to wire with its ends at distance 0.01 m and 0.2 m from it. The e.m.f induced in rod is (approximately)

If the interatomic spacing in a steel wire is $3\,{A^\mathrm{o}}\,\,\,\mathrm{ and}\,\,\,\mathrm{ }{y_{\mathrm{steel}}} = 20 \times {10^{10}}N/{m^2}$ then force constant is

Longitudinal stress depends on:

The Young’s modulus of the material of a wire is equal to the

Two bars $A$ and $B$ of circular cross-section and of same volume and made of the same material are subjected to tension. If the diameter of $A$ is half that of $B$ and if the force applied to both the rods is the same and it is in the elastic limit, the ratio of extension of $A$ to that of $B$ will be

If energy acquired per one radian of twist is $\frac{1}{6}\pi J$. The energy acquired by the wire on twisting it for three complete rotations is

Statement I: Ductile metals are used to prepare thin wires.
Statement II: In the stress-strain curve of ductile metals, the length between the points representing elastic limit and breaking point is very small.

Mark the wrong statement

For most materials the Young’s modulus is n times the rigidity modulus, where $n$ is

A) The stretching of a coil is determined by its shear modulus.

B) Of the three states of matter the bulk modulus of elasticity is maximum for gases.

Young's modulus for rigid material is

Statement-1: In general if we apply larger force on a wire in relaxed length it will have larger extension.
Statement-2: Stress is directly proportional to strain if the wire follows Hooke's Law.

Assertion(A): If length of a wire is halved, its Young's modulus of elasticity will become two times.

Reason(R): The ratio of longitudinal stress and longitudinal strain is called Young's modulus of elasticity.

The length of a metal wire is ${l_1}$, when the tension in it is ${T_1}$ and is ${l_2}$ when the tension is ${T_{2.}}$ The natural length of the wire is