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Sunday, 25 October

JEE Main · Physics · Class 11

Mechanical Properties of Solids: JEE Main previous year questions

71 questions in 62 of the 108 JEE Main shifts Lumi analysed, asked in 8 of 8 years. Here is what this chapter tests and how.

Study this chapter
Questions
71
in 62 of 108 shifts · 8 of 8 years
Average a shift
0.7
of 25 Physics · 0.8 since 2024 0.3
Typical range
0.5–0.8
questions a shift; fewest 0.3, most 1.2
Weighted estimate
0.7
model, recent years count more · about 3 marks
  • Typical range (fact)
  • Average a shift (fact)
  • Weighted estimate (model)

Questions are counted per shift, out of the 25 each subject has, in the shifts Lumi analysed; papers that offered 30 a subject (2017, 2021–2024) are scaled to 25. Typical range: the middle six of the eight years (2017, 2020–2026), leaving out the single highest and lowest year. The average and the range are historical fact. The weighted estimate is a model: each year's share, with recent years counting more (half-life three years), and chapters NTA dropped from the syllabus set near zero. It is a guide to effort, not a forecast of the paper.

What to do

How to spend time on Mechanical Properties of Solids

Priority

Lower priority

One of the 7 Physics chapters that shared the last fifth of Physics questions in the 108 shifts analysed. How bands are set

Past questions
71in 62 of 108 shifts
Study plan gives it
14 hover 12 months; 10 h over 6
Study this chapter →

Ideas asked most often

  1. Elastic Moduli18×
  2. Stress and Strain Types8×
  3. Breaking Stress and Breaking Force7×
  4. Series and Parallel Composite Wires7×
  5. Hooke's Law5×

33 of the 56 ideas in Lumi’s map of this chapter have not been asked or touched in the shifts analysed. Of its idea-tagged questions from 2024 on, 18% tested an idea not asked in an earlier year, so learn the whole chapter, not just the list above.

Within each subject, chapters in NTA's 2026 syllabus are ranked by their average questions a shift over all 8 years analysed (history, not the model). Going down that list, the chapters that together held the first half of the subject's questions are Must do; the next ones, up to 80%, are Should do; the rest are Lower priority.

Key findings

Mechanical Properties of Solids at a glance

  1. 01

    82%

    of its 28 questions from 2024 on that Lumi matched to an idea tested one JEE Main had asked in an earlier year; 100% came from a topic asked in an earlier year.

  2. 02

    59%

    of the 56 ideas in Lumi's map of the chapter have not been asked or touched on in the shifts analysed.

  3. 03

    47%

    of its questions asked for a numerical answer, 1.6 times the Physics average.

  4. 04

    3%

    of its questions were rated hard, against 5% across all Physics questions in the same shifts.

Questions a shift, year by year

Out of the 25 Physics questions in a shift. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift.

0240.8’170.3’200.5’210.6’220.6’230.6’240.6’251.2’26

Raw count: 2017: 1 in 1 shift · 2020: 3 in 12 shifts · 2021: 14 in 24 shifts · 2022: 16 in 24 shifts · 2023: 9 in 12 shifts · 2024: 12 in 18 shifts · 2025: 5 in 8 shifts · 2026: 11 in 9 shifts.

Kind of question

SHARE OF QUESTIONS
  • Numerical answer47%
  • Calculation24%
  • Application9%
  • Multi-step7%
  • Conceptual6%
  • Recall, single correct3%
  • Data or graph3%
  • Match the list1%
  • Diagram based1%

Most common asks: elongation of rod under own weight (2); maximum load before wire breaks (2); stress in hanging wire at a point (1).

Profile

This chapter in numbers

Where it ranks, how steady it is, and what it costs to study.

Rank, all JEE chapters
#55
of 70 by weighted estimate
Rank in Physics
#19
of 28 chapters
Share of Physics
2.6%
of its questions, all shifts analysed
Busiest year
2026
1.2 questions a shift
Year to year
Some swing
varies by about 0.3 questions a shift
Long-run direction
+0.04
questions a shift, per year
Easy questions
44%
3% rated hard
Numerical answer
47%
1.6× the Physics rate
With a figure
17%
graph, diagram or structure
Study time
14 h
10 h on a 6-month plan
Marks per study hour
0.22
#56 of 70 chapters
Foundation for others
95%
of its ideas are used in other chapters

Difficulty, year by year

Each question rated easy, medium or hard. Each bar is that year’s split, so years compare directly; the number is the questions in that year’s analysed shifts (1 to 24 shifts a year).

  • 20171
  • 20203
  • 202114
  • 202216
  • 20239
  • 202412
  • 20255
  • 202611
  • Easy
  • Medium
  • Hard

What it asks you to do

SHARE OF QUESTIONS
  • Calculation52%
  • Multi-step21%
  • Application11%
  • Conceptual6%
  • Data or graph6%
  • Recall4%

Coverage

How much of the chapter JEE Main has used

We split the chapter into 56 ideas. In the 108 shifts analysed, JEE Main built a question around 19 of them. Most of the chapter has never been the main idea of a question, so past questions alone leave most of it out.

Asked as the main idea
19
Touched on in a question
4
Never asked
33

Topics

What repeats, topic by topic

This chapter's questions per topic in each year's analysed shifts. The number is the count; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker.

’17’20’21’22’23’24’25’26
016+questions in that year’s analysed shifts, shaded per shift
  • Elasticity

    As a topic: 76 questions in 8 of 8 years, most often single correct, 46% numerical answer. Recent asks: numerical: max acceleration from breaking stress; numerical: length from equal elongation of joined wires; numerical: Young's modulus from load-extension graph.

Drill down

Topic, idea, question

Open a topic to see every idea JEE Main tested inside it, then open an idea to read the questions. Each row shows its 8 years.

  • Open71 · 100%31416912511

    19 ideas inside

    • OpenRepeated17 · 24%4424
    • OpenRepeated8 · 11%5
    • OpenRepeated7 · 10%222
    • OpenRepeated7 · 10%23
    • OpenRepeated5 · 7%3
    • OpenRepeated4 · 6%
    • OpenRepeated4 · 6%2
    • OpenRepeated4 · 6%2
    • OpenRepeated3 · 4%
    • Open2 · 3%2
    • OpenRepeated2 · 3%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%
    • Open1 · 1%

Squares are the 8 years with analysed shifts, 2017 to 2026. A number is the questions that year when there is more than one; the shade is scaled to one shift, so a year with more analysed shifts (1 to 24 a year) does not look darker. Share is of the level above.

Ideas

The exact ideas JEE Main has asked

Inside the topics, 17 different ideas were tested; 11 came more than once. These are the repeats, then the ideas new since 2024.

Dots are the 8 years with analysed shifts, 2017 to 2026.

Every question

All 71 Mechanical Properties of Solids questions

Newest first, shift by shift. The newest 40 show their opening words; older ones name the idea they tested. Each opens with its options and the official answer.

JEE Main 202611 questions

  1. 2 Apr 2026, Shift 1 · Q49A uniform wire of length ll of weight ww is suspended from the roof with a weight of WW at the other end. The stress in the wire at…MediumNumerical value
  2. 4 Apr 2026, Shift 1 · Q27The increase in the pressure required to decrease the volume (ΔV\Delta V) of water is 6.3×107 N/m26.3\times10^{7}\ \mathrm{N/m^2}. The percentage…EasySingle correct
  3. 4 Apr 2026, Shift 1 · Q34A string AA of length 0.3140.314 m and Young's modulus 2×1010 N/m22\times10^{10}\ \mathrm{N/m^2} is connected to another string BB of length and…MediumSingle correct
  4. 4 Apr 2026, Shift 2 · Q31A metal string AA is suspended from a rigid support and its free end is attached to a block of mass MM. Second block having mass 2M2M is…MediumSingle correct
  5. 5 Apr 2026, Shift 1 · Q31The Young's modulus of steel wire of radius rr and length LL is YY. If the radius rr and length LL of the wire are doubled then the…EasySingle correct
  6. 5 Apr 2026, Shift 1 · Q43Two wires as shown in the figure below, made of steel and have breaking stress of 12×108 N/m212 \times 10^8\ \mathrm{N/m^2}. Area of cross-section…MediumSingle correctHas a figure
  7. 5 Apr 2026, Shift 1 · Q46A cube has side length 5 cm and modulus of rigidity 105 N/m210^5\ \mathrm{N/m^2}. The displacement produced by a force of 10 N in the upper face…EasyNumerical value
  8. 5 Apr 2026, Shift 2 · Q46A copper wire of length 3 m is stretched by 3 mm by applying an external force. The volume of the wire is…EasyNumerical value
  9. 6 Apr 2026, Shift 1 · Q30A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the wire can withstand is 4×1084\times10^8 N/m2^2 and…MediumSingle correct
  10. 6 Apr 2026, Shift 1 · Q34The two wires AA and BB of equal cross-section but of different materials are joined together. The ratio of Young's modulus of wire AA…EasySingle correct
  11. 6 Apr 2026, Shift 2 · Q33Figure represents the extension (Δl\Delta l) of a wire of length 1 meter, suspended from the ceiling of the room at one end with a load…EasySingle correctHas a figure

JEE Main 20255 questions

  1. 2 Apr 2025, Shift 1 · Q46A steel wire of length 2 m and Young's modulus 2.0×1011 N m−22.0\times10^{11}\ \mathrm{N\,m^{-2}} is stretched by a force. If Poisson ratio and…MediumNumerical value
  2. 2 Apr 2025, Shift 2 · Q48The 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.…EasyNumerical value
  3. 4 Apr 2025, Shift 2 · Q32A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected to a shear force of 10510^5 N at the top.…MediumSingle correct
  4. 7 Apr 2025, Shift 1 · Q32Two wires A and B are made of same material having ratio of lengths LALB=13\frac{L_A}{L_B} = \frac{1}{3} and their diameters ratio…EasySingle correct
  5. 8 Apr 2025, Shift 2 · Q31A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a mass of 50 kg in an experiment to determine…MediumSingle correct

JEE Main 202412 questions

  1. 4 Apr 2024, Shift 1 · Q54An elastic spring under tension of 3 N has a length aa. Its length is bb under tension 2 N. For its length (3a−2b)(3a - 2b), the value of…MediumNumerical value
  2. 5 Apr 2024, Shift 1 · Q53The density and breaking stress of a wire are 6×104 kg/m36\times10^{4}\ \mathrm{kg/m^3} and 1.2×108 N/m21.2\times10^{8}\ \mathrm{N/m^2} respectively. The…MediumNumerical value
  3. 5 Apr 2024, Shift 2 · Q38Match 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…EasyMatch the list
  4. 6 Apr 2024, Shift 2 · Q60A wire of cross sectional area AA, modulus of elasticity 2×1011 Nm−22\times10^{11}\ \mathrm{Nm^{-2}} and length 2 m is stretched between two…HardNumerical valueHas a figure
  5. 9 Apr 2024, Shift 1 · Q53Two persons pull a wire towards themselves. Each person exerts a force of 200200 N on the wire. Young's modulus of the material of wire is…EasyNumerical value
  6. 1 Feb 2024, Shift 1 · Q37With rise in temperature, the Young's modulus of elasticity :EasySingle correct
  7. 1 Feb 2024, Shift 2 · Q53One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the other end. A similar wire is attached to the bottom of the…MediumNumerical value
  8. 27 Jan 2024, Shift 1 · Q53If average depth of an ocean is 4000 m and the bulk modulus of water is 2×1092\times10^{9} Nm−2^{-2}, then fractional compression…EasyNumerical value
  9. 30 Jan 2024, Shift 1 · Q37Young's modules of material of a wire of length 'L' and cross-sectional area A is Y. If the length of the wire is doubled and…EasySingle correct
  10. 30 Jan 2024, Shift 1 · Q53Each of three blocks P, Q and R shown in figure has a mass of 3 kg. Each of the wires A and B has cross-sectional area…HardNumerical valueHas a figure
  11. 31 Jan 2024, Shift 1 · Q53The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by 0.02% is ________ mm. (Take density of…EasyNumerical value
  12. 31 Jan 2024, Shift 2 · Q53Two blocks of mass 2 kg and 4 kg are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is…MediumNumerical valueHas a figure

JEE Main 20239 questions

  1. 6 Apr 2023, Shift 1 · Q58A steel rod has a radius of 20 mm and a length of 2.0 m. A force of 62.8 kN stretches it along its length. Young's modulus of steel is…EasyNumerical value
  2. 6 Apr 2023, Shift 2 · Q53A metal block of mass m is suspended from a rigid support through a metal wire of diameter 14 mm. The tensile stress developed in the wire…EasyNumerical value
  3. 8 Apr 2023, Shift 1 · Q34An aluminium rod with Young's modulus Y=7.0×1010 N/m2Y = 7.0\times10^{10}\ \mathrm{N/m^2} undergoes elastic strain of 0.04%0.04\%. The energy per unit…EasySingle correct
  4. 10 Apr 2023, Shift 1 · Q51Two wires each of radius 0.2 cm and negligible mass, one made of steel and the other made of brass are loaded as shown in the figure. The…MediumNumerical valueHas a figure
  5. 10 Apr 2023, Shift 2 · Q35Young's moduli of the material of wires A and B are in the ratio of 1:4, while its area of cross sections are in the ratio of 1:3. If the…EasySingle correct
  6. 11 Apr 2023, Shift 1 · Q57The length of a wire becomes l1l_1 and l2l_2 when 100 N and 120 N tensions are applied respectively. If 10 l2=11 l110\,l_2 = 11\,l_1, the natural…MediumNumerical value
  7. 13 Apr 2023, Shift 1 · Q38Under isothermal condition, the pressure of a gas is given by P=aV−3P = aV^{-3}, where aa is a constant and V is the volume of the gas. The…EasySingle correct
  8. 13 Apr 2023, Shift 1 · Q55The elastic potential energy stored in a steel wire of length 20 m stretched through 2 cm is 80 J. The cross sectional area of the wire is…MediumNumerical value
  9. 15 Apr 2023, Shift 1 · Q34A 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 ff, its length…MediumSingle correct

JEE Main 202216 questions

  1. 25 Jul 2022, Shift 1 · Q53A wire of length LL and radius rr is clamped rigidly at one end. When the other end of the wire is pulled by a force FF, its length…MediumNumerical value
  2. 26 Jul 2022, Shift 1 · Q53In an experiment to determine the Young's modulus of wire of a length exactly 1 m, the extension in the length of the wire is measured as…MediumNumerical value
  3. 26 Jul 2022, Shift 2 · Q50The area of cross section of the rope used to lift a load by a crane is 2.5×10−4m22.5 \times 10^{-4}m^2. The maximum lifting capacity of the crane…EasySingle correct
  4. 26 Jul 2022, Shift 2 · Q55Elongation Due to Self-Weight · Medium · Numerical value
  5. 27 Jul 2022, Shift 1 · Q58Lateral Displacement of a Sheared Cube · Easy · Numerical value
  6. 27 Jul 2022, Shift 2 · Q37Series and Parallel Composite Wires · Medium · Single correct
  7. 27 Jul 2022, Shift 2 · Q51Searle's Experiment for Young's Modulus · Medium · Numerical value · has a figure
  8. 28 Jul 2022, Shift 1 · Q36Elastic Moduli · Easy · Single correct
  9. 28 Jul 2022, Shift 2 · Q23Stress and Strain Types · Medium · Numerical value
  10. 29 Jul 2022, Shift 1 · Q38Elastic Moduli · Easy · Single correct
  11. 29 Jul 2022, Shift 2 · Q53Breaking Stress and Breaking Force · Medium · Numerical value
  12. 30 Jul 2022, Shift 2 · Q6Series and Parallel Composite Wires · Easy · Single correct · has a figure
  13. 24 Jun 2022, Shift 1 · Q31Elastic Moduli · Easy · Single correct
  14. 26 Jun 2022, Shift 1 · Q53Elastic Energy Density · Medium · Numerical value · has a figure
  15. 26 Jun 2022, Shift 1 · Q54Elongation Due to Self-Weight · Easy · Numerical value
  16. 29 Jun 2022, Shift 1 · Q36Finding Natural Length from Two Tensions · Medium · Single correct

JEE Main 202114 questions

  1. 3 Aug 2021, Shift 2 · Q10Elastic Moduli · Easy · Single correct · has a figure
  2. 4 Aug 2021, Shift 2 · Q14Elastic Potential Energy · Medium · Single correct
  3. 26 Aug 2021, Shift 2 · Q13Breaking Stress and Breaking Force · Medium · Diagram based · has a figure
  4. 27 Aug 2021, Shift 2 · Q24Breaking Stress and Breaking Force · Medium · Numerical value · has a figure
  5. 31 Aug 2021, Shift 1 · Q16Elongation Due to Self-Weight · Medium · Single correct
  6. 31 Aug 2021, Shift 2 · Q11Hooke's Law · Medium · Single correct
  7. 24 Feb 2021, Shift 1 · Q7Interrelations Between Elastic Constants · Medium · Single correct
  8. 24 Feb 2021, Shift 2 · Q22Elastic Moduli · Easy · Numerical value
  9. 26 Feb 2021, Shift 1 · Q7Compressibility and Density Changes · Easy · Single correct
  10. 26 Feb 2021, Shift 2 · Q15Finding Natural Length from Two Tensions · Easy · Single correct
  11. 22 Jul 2021, Shift 2 · Q25Elastic Potential Energy · Medium · Numerical value
  12. 25 Jul 2021, Shift 1 · Q18Series and Parallel Composite Wires · Medium · Single correct
  13. 17 Mar 2021, Shift 2 · Q20Elastic Moduli · Medium · Single correct
  14. 18 Mar 2021, Shift 1 · Q28Elastic Moduli · Medium · Numerical value

JEE Main 20203 questions

  1. 9 Jan 2020, Shift 1 · Q23Breaking Stress and Breaking Force · Medium · Numerical value
  2. 9 Jan 2020, Shift 2 · Q8Elastic Energy Density · Medium · Single correct
  3. 4 Sep 2020, Shift 2 · Q7Elastic Moduli · Easy · Single correct

JEE Main 20171 question

  1. 2 Apr 2017 (offline) · Q1Stress and Strain Types · Medium · Single correct

Questions from the official JEE Main papers published by NTA. Chapter, topic and idea tags, counts and notes are Lumi’s. Pattern: Asked most years.

More Physics, Class 11

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