List of top Physics Questions on mechanical properties of solids

A plane electromagnetic wave of frequency 35 MHz travels in free space along the X-direction. At a particular point (in space and time), $ \vec{E} = 9.6 \hat{j} \, \text{V/m} $. The value of the magnetic field at this point is:

A wire of length L and radius r is clamped at one end. If its other end is pulled by a force F, its length increases by l. If the radius of the wire and the applied force both are reduced to half of their original values keeping original length constant, the increase in length will become.

Each of three blocks $ P $, $ Q $, and $ R $ shown in the figure has a mass of 3 kg. Each of the wires $ A $ and $ B $ has a cross-sectional area of 0.005 cm$^2$ and Young's modulus $ 2 \times 10^{11} \, \text{N} \, \text{m}^{-2} $. Neglecting friction, the longitudinal strain on wire $ B $ is $ \ldots \times 10^{-4} $. (Take $ g = 10 \, \text{m/s}^2 $)

Two metallic wires $ P $ and $ Q $ have the same volume and are made of the same material. If their areas of cross-section are in the ratio $ 4 : 1 $ and a force $ F_1 $ is applied to $ P $, producing an extension of $ \Delta l $, the force required to produce the same extension in $ Q $ is $ F_2 $.The value of $ \frac{F_1}{F_2} $ is _______.

Let a wire be suspended from the ceiling (rigid support) and stretched by a weight W attached at its free end. The longitudinal stress at any point of cross-sectional area A of the wire is:

A stretched wire of a material whose Young's modulus Y = 2 × 10¹¹ Nm^-2 has Poisson's ratio of 0.25. Its lateral strain ε_l = 10^-3. The elastic energy density of the wire is

A wire of length $L$ and radius $r$ is clamped rigidly at one end When the other end of the wire is pulled by a force $F$, its length increases by $5\, cm$ Another wire of the same material of length $4 L$ and radius $4 r$ is pulled by a force $4 F$ under same conditions The increase in length of this wire is ______$cm$

A certain pressure ' $P$ ' is applied to $1$ litre of water and $2$ litre of a liquid separately Water gets compressed to $0.01 \%$ whereas the liquid gets compressed to $0.03 \%$ The ratio of Bulk modulus of water to that of the liquid is $\frac{3}{x}$ The value of $x$ is ________

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R:
S-1 $\rightarrow$ Steel is used in construction of a bridge and house.
S–2 $\rightarrow$ Modulus of elasticity of steel is high.
In the light of the above statements, choose the correct answer from the options given below

Choose the correct relationship between Poisson ratio $(\sigma)$, bulk modulus $( K )$ and modulus of rigidity $(\eta)$ of a given solid object :

Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$
Assertion A: Steel is used in the construction of buildings and bridges
Reason R: Steel is more elastic and its elastic limit is high
In the light of above statements, choose the most appropriate answer from the options given below

A wire of length 2 m, radius of cross-section 20 mm and Young's Modulus 2×10¹¹ N/m is subjected to a force of 62.8 kN.The change in length of the wire is p×10^–5 (in m). Find P.

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): The stretching of a spring is determined by the shear modulus of the material of the spring.
Reason (R): A coil spring of copper has more tensile strength than a steel spring of same dimensions.
In the light of the above statements choose the most appropriate answer from the options given below:

A metal wire of natural length 50cm and cross-sectional area 4.0 mm² is fixed at end. A mass of 2.4kg is hung from the other end of the wire. If the elastic pot energy of the wire is 1.8x10^-4J,then its Young's modulus is:(Take g=10 ms^-2)

A Spherical ball is subjected to a pressure of 100 atmosphere. If the bulk modulus of the ball is 10¹¹ N/m²,then change in the volume is:

The work done W is required by an agent to form a bubble of radius R. An extra amount of work △W is required to increase the radius by △R. If $\frac{△R}{R}$=1%,$\frac{△W}{W}$ is:

A wire of length 2 m, radius of cross-section 20 mm and Young's Modulus 2×10¹¹ N/m is subjected to a force of 62.8 kN.The change in length of the wire is p×10^–5 (in m). Find P.

A wire of length 1 m and radius 2 mm is having the lower end twisted at angle 45 degree. Find angle of shear.

A square aluminium (shear modulus is 25 × 10⁹ Nm^–2) slab of side 60 cm and thickness 15 cm is subjected to a shearing force (on its narrow face) of 18.0 × 10⁴ N. The lower edge is riveted to the floor. The displacement of the upper edge is ______μm.

In an experiment to determine the Young’s modulus, steel wires of five different lengths (1, 2, 3, 4 and 5 m) but of same cross section (2 mm²) were taken and curves between extension and load were obtained. The slope (extension/load) of the curves were plotted with the wire length and the following graph is obtained. If the Young’s modulus of given steel wires is x × 10¹¹ Nm^–2, then the value of x is ______.

A metallic rod breaks when strain produced is 0.2%. The Young's Modulus of the material is 7 x 10⁹ N/m² . The area of cross section to support a load of 10⁴ N is

The INCORRECT statement is

If the Young's modulus of the material of a wire is numerically equal to ten times the stress applied to a wire of length /, then the change in the length of the wire is

The centre of mass of an extended body on the surface of the earth and its centre of gravity

A string of area of cross-section $4mm^2$ and length $0.5 m$ is connected with a rigid body of mass $2 kg$. The body is rotated in a vertical circular path of radius $0.5 m$. The body acquires a speed of $5 m/s$ at the bottom of the circular path. Strain produced in the string when the body is at the bottom of the circle is ______$×10^{–5}$.

(use young’s modulus $10^{11} N/m^2$ and $g = 10 m/s^2$)

List of top Physics Questions on mechanical properties of solids

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