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Mechanical Properties of Solids

JEE Mains Physics. Try each one first, then open its answer.

Top 10 JEE Mains PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 7 times: 2021 Paper 11, 2021 Paper 26, 29 Jun 2022, 11 Apr 2023, 4 Apr 2024, 23 Jan 2025, 2 Apr 2025. This one: 2 Apr 2025 See all 7 of this type

    99
    The length of a light string is 1.4 m when the tension on it is 5 N . If the tension increases to 7 N , the length of the string is 1.56 m . The original length of the string is ____\_\_\_\_ m.

  2. Question 2

    This type asked 6 times: 2021 Paper 16, 26 Jun 2022, 8 Apr 2023, 13 Apr 2023, 2 Apr 2025, 5 Apr 2026 S2. This one: 5 Apr 2026 S2 See all 6 of this type

    21
    A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is 600×10−6 m3600 \times 10^{- 6}{\text{ }m}^{3}. The elastic potential energy stored in the wire in stretched condition would be ____\_\_\_\_ J. (Given Young modulus of copper  =1.1×1011 N/m2)\left. \ = 1.1 \times 10^{11}\text{ }N/m^{2} \right)

  3. Question 3

    This type asked 6 times: 25 Jul 2022, 30 Jan 2023, 10 Apr 2023, 15 Apr 2023, 29 Jan 2024, 7 Apr 2025. This one: 7 Apr 2025 See all 6 of this type

    19
    Two wires AA and BB are made of same material having ratio of lengths LALB=13\frac{L_{A}}{L_{B}}=\frac{1}{3} and their diameters ratio dAdB=2\frac{d_{A}}{d_{B}}= 2. If both the wires are stretched using same force, what would be the ratio of their respective elongations?

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  4. Question 4

    This type asked 5 times: 2021 Paper 19, 2021 Paper 21, 26 Jul 2022, 5 Apr 2026 S1, 6 Apr 2026 S1. This one: 6 Apr 2026 S1 See all 5 of this type

    5
    A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is 4×108 N/m24 \times10^{8}\text{ }N/m^{2} and its radius is 4 mm , then maximum acceleration the lift can take is ____\_\_\_\_ m/s2m/s^{2}. (take g=10 m/s2g = 10\text{ }m/s^{2} and π=3.14\pi= 3.14 )

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  5. Question 5

    This type asked 5 times: 14 Jun 2022, 1 Feb 2023, 24 Jan 2025, 28 Jan 2025, 4 Apr 2026 S1. This one: 4 Apr 2026 S1 See all 5 of this type

    2
    The increase in the pressure required to decrease the volume ( ΔV\Delta V ) of water is 6.3×107 N/m26.3 \times10^{7}\text{ }N/m^{2}. The percentage decrease in the volume is ____\_\_\_\_ . (Bulk modulus of water =2.1×109 N/m2= 2.1 \times10^{9}\text{ }N/m^{2})

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  6. Question 6

    This type asked 5 times: 2021 Paper 8, 2021 Paper 22, 27 Jan 2024, 31 Jan 2024, 29 Jan 2025. This one: 29 Jan 2025 See all 5 of this type

    13
    The fractional compression (ΔVV)\left( \frac{\Delta V}{V} \right) of water at the depth of 2.5 km below the sea level is ____\_\_\_\_ %. Given, the Bulk modulus of water =2×109Nm−2= 2 \times10^{9}Nm^{- 2}, density of water =103 kg m−3=10^{3}\text{ }kg{\text{ }m}^{- 3}, acceleration due to gravity =g=10 ms−2= g = 10{\text{ }ms}^{- 2}.

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  7. Question 7

    This type asked 4 times: 28 Jul 2022, 24 Jan 2023, 6 Apr 2023, 9 Apr 2024. This one: 9 Apr 2024 See all 4 of this type

    27
    Two persons pull a wire towards themselves. Each person exerts a force of 200 N200\text{ }N on the wire. Young's modulus of the material of wire is 1×1011 N m−21 \times10^{11}\text{ }N{\text{ }m}^{- 2}. Original length of the wire is 2 m2\text{ }m and the area of cross section is 2 cm22{\text{ }cm}^{2}. The wire will extend in length by ___ μm\mu m.

  8. Question 8

    Asked 3 times: 29 Jul 2022*, 30 Jan 2024*, 5 Apr 2026 S1 (* = numbers or wording changed that year) See all 3 times it was asked

    6
    The Young's modulus of steel wire of radius rr and length L is Y . If the radius r and length L of the wire are doubled then the value of Y

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  9. Question 9

    Asked 3 times: 25 Jul 2022*, 15 Apr 2023*, 29 Jan 2024 (* = numbers or wording changed that year) See all 3 times it was asked

    103
    A wire of length LL and radius rr is clamped at one end. If its other end is pulled by a force F, its length increases by ll. 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.

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  10. Question 10

    This type asked 3 times: 27 Jul 2022, 25 Jan 2023, 6 Apr 2026 S2. This one: 6 Apr 2026 S2 See all 3 of this type

    8
    Figure represents the extension ( Δl\Delta l ) of a wire of length 1 meter, suspended from the ceiling of the room at one end with load W connected to the other end. If the cross- sectional area of the wire is 10−5 m210^{- 5}{\text{ }m}^{2} then the Young's modulus of the wire is ____\_\_\_\_ N/m2N/m^{2}.

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