The JEE Main Physics section requires speed and accuracy, along with a thorough understanding of the mechanical properties of solids. This article provides a set of JEE Main PYQs on mechanical properties of solids to help you understand the topic and improve your problem-solving skills with the help of detailed solutions by ensuring conceptual clarity, which will help you in the JEE Main 2026 preparation.
Whether you're revising the basics or testing your knowledge, these JEE Main PYQs will serve as a valuable practice resource.
The JEE Main 2026 exam is likely to continue on the same pattern as JEE Main 2025. Out of 90 questions, students can expect a fair mix from all three subjects. To get an edge, going through JEE Main previous year questions (PYQs) is one of the best strategies.
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JEE Main PYQs on Mechanical Properties of Solids
1.
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:- \( 3.2 \times 10^{-8} \hat{k} \, \text{T} \)
- \( 3.2 \times 10^{-8} \hat{i} \, \text{T} \)
- \( 9.6 \hat{j} \, \text{T} \)
- \( 9.6 \times 10^{-8} \hat{k} \, \text{T} \)
2.
A man grows into a giant such that his linear dimensions increase by a factor of $9$. Assuming that his density remains same, the stress in the leg will change by a factor of :- 9
- $\frac{1}{9}$
- 81
- $\frac{1}{81}$
3.
A boy's catapult is made of rubber cord which is $42\, cm$ long, with $6\, mm$ diameter of cross-section and of negligible mass. The boy keeps a stone weighing $0.02\,kg$ on it and stretches the cord by $20\, cm$ by applying a constant force. When released, the stone flies off with a velocity of $20\, ms^{-1}$. Neglect the change in the area of cross-section of the cord while stretched. The Young's modulus of rubber is closest to:- $10^4 \; N/m^{-2}$
- $10^8 \; N/m^{-2}$
- $10^6 \; N/m^{-2}$
- $10^3 \; N/m^{-2}$
4.
Choose the correct relationship between Poisson ratio $(\sigma)$, bulk modulus $( K )$ and modulus of rigidity $(\eta)$ of a given solid object :- $\sigma=\frac{3 K+2 \eta}{6 K+2 \eta}$
- $\sigma=\frac{6 K-2 \eta}{3 K-2 \eta}$
- $\sigma=\frac{3 K-2 \eta}{6 K+2 \eta}$
- $\sigma=\frac{6 K+2 \eta}{3 K-2 \eta}$
5.
The elastic limit of brass is $379\, MPa$. What should be the minimum diameter of a brass rod if it is to support a $400 \,N$ load without exceeding its elastic limit ?- $1.16\, mm$
- $0.90\, mm$
- $1.36\, mm$
- $1.00\, mm$
6.
The force required to stretch a wire of cross-section $1 cm ^2$ to double its length will be: (Given Yong's modulus of the wire $=2 \times 10^{11} N / m ^2$ )- $1 \times 10^7 N$
- $1.5 \times 10^7 N$
- $2 \times 10^7 N$
- $2.5 \times 10^7 N$
7.
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:- Both A and R are correct but R is NOT the correct explanation of A
- Both A and R are correct and R is the correct explanation of A
- A is incorrect and R is correct
- A is correct but R is incorrect
8.
As shown in the figure, forces of $10^5\, N$ each are applied in opposite directions, on the upper and lower faces of a cube of side $10\, cm$, shifting the upper face parallel to itself by $0.5 \,cm$. If the side of another cube of the same material is $20\, cm$, then under similar conditions as above, the displacement will be :- 0.25 cm
- 0.37 cm
- 0.75 cm
- 1.00 cm
9.
A steel wire having a radius of $2.0\, mm$, carrying a load of $4 \,kg$, is hanging from a ceiling. Given that $g = 3.1 \; \pi \; ms^{-2}$, what will be the tensile stress that would be developed in the wire ?- $ 4.8 \times 10^6 \; Nm^{-2}$
- $ 5.2 \times 10^6 \; Nm^{-2}$
- $ 6.2 \times 10^6 \; Nm^{-2}$
- $3.1 \times 10^6 \; Nm^{-2}$
10.
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 belowS-1 & S-2 both are true
S-1 & S-2 both are true
S-1 is false & S-2 is true
S-1 & S-2 both are false
11.
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 :
- $\frac{ V }{2 \sqrt{2}}$
- $\frac{v}{2}$
- $\frac{v}{4}$
- $\frac{ v }{\sqrt{2}}$
12.
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.- 3 times
- 3/2 times
- 4 times
- 2 times
13.
If the potential energy between two molecules is given by $U = - \frac{ A }{ r ^{6}}+\frac{ B }{ r ^{12}},$ then at equilibrium, separation between molecules, and the potential energy are :- $\left(\frac{ B }{ A }\right)^{1 / 6}, 0$
- $\left(\frac{ B }{2 A }\right)^{1 / 6},-\frac{ A ^{2}}{2 B }$
- $\left(\frac{2 B}{A}\right)^{1 / 6},-\frac{A^{2}}{4 B}$
- $\left(\frac{2 B }{ A }\right)^{1 / 6},-\frac{ A ^{2}}{2 B }$
14.
If $Y, K$ and $\eta$ are the values of Young's modulus, bulk modulus and modulus of rigidity of any material respectively. Choose the correct relation for these parameters.- $Y =\frac{9 K \eta}{3 K -\eta} N / m ^{2}$
- $\eta=\frac{3 Y K}{9 K+Y} N / m^{2}$
- $Y =\frac{9 K\eta }{2 \eta+3 K } N / m ^{2}$
- $K =\frac{ Y\eta }{9 \eta-3 Y } N / m ^{2}$
15.
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)-(II), (B)-(IV), (C)-(I), (D)-(III)
- (A)-(IV), (B)-(II), (C)-(III), (D)-(I)
- (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
- (A)-(III), (B)-(I), (C)-(II), (D)-(IV)
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