Mechanical Properties of Solids — Previous-Year Questions
35 curated PYQs across 7 topics, drawn from JEE Mains, JEE Advanced, NEET UG, and CUET papers. Every question has a worked-out explanation.
Stress–Strain Curve
Full σ–ε curve with proportional, elastic, yield, plastic, UTS and fracture zones. Watch a rod neck and snap.
Q1. Yield point on a stress-strain curve marks:
JEE 2022Q2. A ductile material:
JEE 2021Q3. Area under the stress-strain curve up to fracture =
JEE 2020Q4. Brittle materials (like glass) on a stress-strain curve:
JEE 2019Q5. Ultimate tensile strength is:
JEE 2018Hooke's Law
σ = Yε — stretch a steel bar, watch ΔL grow linearly with F. Live σ–ε point on the Hooke line.
Q1. Hooke's law holds in the:
JEE 2022Q2. A wire of length L stretches by ΔL under tension F. If L is doubled keeping F and cross-section the same:
JEE 2021Q3. Stress in a wire under load is:
JEE 2020Q4. If strain is ε = 10⁻³ and Young's modulus Y = 2 × 10¹¹ Pa, stress is:
JEE 2019Q5. Elastic potential energy per unit volume:
JEE 2018Young's Modulus Compared
Four wires (steel, copper, Al, brass) under same load — stiff materials stretch less.
Q1. A steel wire (Y = 2 × 10¹¹ Pa) of length 2 m and cross-section 10⁻⁶ m² is loaded with 100 N. Extension:
JEE 2022Q2. If the radius of a wire is doubled, its extension under the same load becomes:
JEE 2021Q3. Young's modulus has units of:
JEE 2020Q4. Energy stored per unit volume in a stretched wire:
JEE 2019Q5. Two wires, same material, same length but radii r and 2r. The stiffer wire is the one with radius:
JEE 2018Bulk Modulus
B = −ΔP/(ΔV/V) — cube compresses under hydrostatic pressure. 3D iso visual + live bar.
Q1. Bulk modulus of water is 2.2 × 10⁹ Pa. Fractional volume change under 10⁵ Pa (~1 atm) pressure:
JEE 2022Q2. Sound speed in air depends on:
JEE 2021Q3. Bulk modulus of an ideal gas under isothermal compression equals:
JEE 2020Q4. If a solid has bulk modulus 50 GPa and is subjected to pressure 100 MPa, fractional volume change:
JEE 2019Q5. Compressibility κ has units of:
JEE 2018Shear Modulus
G = F/(Aφ) — block sheared into a parallelogram. Watch angle φ grow linearly with τ.
Q1. Shear modulus of fluids is:
JEE 2022Q2. If shear stress is 10⁶ Pa and shear strain is 0.01, shear modulus:
JEE 2021Q3. S-waves (transverse seismic waves) do NOT travel through:
JEE 2020Q4. Torque required to twist a wire by angle θ varies with radius r as:
JEE 2019Q5. For most metals, G is approximately:
JEE 2018Poisson's Ratio
ν = −ε_T/ε_L — rod extends axially, contracts laterally. See the grid deform.
Q1. Poisson's ratio for a perfectly incompressible material:
JEE 2022Q2. If σ_p = 0.3, the relation B = Y/[3(1−2σ_p)] gives B as fraction of Y:
JEE 2021Q3. Typical Poisson's ratio of cork:
JEE 2020Q4. A wire stretches longitudinally by 1%. Its diameter changes by (σ_p = 0.25):
JEE 2019Q5. Poisson's ratio is dimensionless because:
JEE 2018Elastic Potential Energy
U = ½σε·V — area under σ–ε curve fills as the wire stretches; energy bar grows live.
Q1. A spring of stiffness 200 N/m is stretched by 0.1 m. Energy stored:
JEE 2022Q2. A wire under tension F has elastic PE of ½F·ΔL because:
JEE 2021Q3. Energy density in a wire is:
JEE 2020Q4. Two springs of stiffness 100 N/m each are placed in series. Effective k:
JEE 2019Q5. Same springs in parallel:
JEE 2018Mechanical Properties of Solids previous-year questions on sciphylab (also known as SciPhy, SciPhy Lab, SciPhy Labs). Free physics practice for Class 11, JEE Mains, JEE Advanced, NEET UG, AP Physics, SAT, and CUET-UG candidates.