JEE · NEET · AIIMS · BITSAT · KVPY
🔩 Master Mechanical Properties of Solids
NCERT Class 11 · Chapter 9
Real PYQs from top competitive exams — filter by exam, attempt each question, track your progress and submit to see your full score report.
50
Real PYQs
5
Exam Bodies
15+
Years Covered
~6%
Exam Weightage
PYQs Overview
Stress & Strain — Definitions
Tensile, compressive, shear; longitudinal, volumetric, shear strain.
★★★★★
90% Frequency
Young's Modulus Y
Y = (F/A)/(ΔL/L); wire stretching numericals — highest frequency.
★★★★★
93% Frequency
Bulk & Shear Modulus
B = –P/(ΔV/V); hydraulic stress; rigidity modulus G.
★★★★☆
74% Frequency
Stress–Strain Curve
Proportionality limit, elastic limit, yield point, fracture — conceptual.
★★★★★
88% Frequency
Elastic Potential Energy
U = ½ × stress × strain × volume = ½ × Y × ε² × V.
★★★★☆
72% Frequency
Poisson's Ratio
σ = –lateral strain / longitudinal strain; range and typical values.
★★★☆☆
55% Frequency
Topic Frequency
💡 Did You Know?
- Young's modulus numerical in every JEE paper
- Stress-strain curve theory — asked every NEET year
- Elastic PE density = ½ × Y × ε² — asked 8× in JEE
- Poisson's ratio for rubber ≈ 0.5
- Thermal stress = YαΔT — classic JEE hybrid
Key Takeaways
Y = stress/strain for longitudinal deformation
Units: Pa or N/m². Higher Y = stiffer material (Steel > Copper > Rubber).
Elastic limit: material returns to original shape
Beyond plastic limit, permanent deformation occurs.
Stress-strain curve: 5 key regions
Proportional → Elastic → Yield → Plastic → Fracture.
Bulk modulus for liquids and gases
B_adiabatic = γP; B_isothermal = P for ideal gas.
Elastic PE per unit volume = ½ × stress × strain
Also = ½ × Y × (strain)² = (stress)²/(2Y).
Thermal stress = YαΔT
When a rod is prevented from expanding: stress = YαΔT.
Study Strategy
1
Stress & Strain DefinitionsDay 1–2
All types with units. Distinguish carefully between them.
2
Young's ModulusDay 3
Wire problems — extension, stress, strain, energy — 20 problems.
3
Stress-Strain CurveDay 4
Label all regions; understand each point conceptually.
4
Bulk & Shear ModuliDay 5
Hydraulic stress, liquid compressibility — 15 problems.
5
Elastic PE & Thermal StressDay 6
Energy stored in stretched wire; thermal expansion prevention.
6
Attempt All PYQsDay 7
Young's modulus and stress-strain curve dominate chapter MCQs.
7
Mock TestDay 8
25-Q timed. Wire-stretching numericals = highest priority.
🗓️ 8-Day Chapter Plan
| Day 1–2 | Stress & Strain Definitions |
| Day 3 | Young's Modulus |
| Day 4 | Stress-Strain Curve |
| Day 5 | Bulk & Shear Moduli |
| Day 6 | Elastic PE & Thermal Stress |
| Day 7 | Attempt All PYQs |
| Day 8 | Mock Test |
🧠 Pro Tip: The stress-strain curve diagram appears directly in MCQs. Memorise labels of all five regions and their physical meaning.
🚀
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