List of top Physics Questions on mechanical properties of solids asked in JEE Main

Match List-I with List-II :

List-I	List-II
(A) A force that restores an elastic body of unit area to its original state	(I) Bulk modulus
(B) Two equal and opposite forces parallel to opposite faces	(IV) Shear modulus
(C) Forces perpendicular everywhere to the surface per unit area same everywhere	(III) Stress
(D) Two equal and opposite forces perpendicular to opposite faces	(II) Young's modulus

Choose the correct answer from the options given below :

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 _______.

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.

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 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 $g = 10 m/s^2$)

As per the given figure, two blocks each of mass $250 \,g$ are connected to a spring of spring constant $2 \,Nm ^{-1}$ If both are given velocity $v$ in opposite directions, then maximum elongation of the spring is :