Elasticity — JEE Main PYQs & Practice Questions

Elasticity is a Physics chapter in the JEE Main syllabus. This page brings together 95 previous-year and practice questions on Elasticity, organised into 3 topics: Stress and Strain, Elastic Moduli and Elastic Potential Energy. Most questions come with a step-by-step solution you can work through free in PrepWiser.

Download Elasticity JEE Main PYQs as a free PDF (with answer key)

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Chapter weightage: how many questions each chapter had per shift in the 2024–26 papers.

Stress and Strain

• A uniform heavy rod of weight 10 kg ms⁻², cross-sectional area 100 cm² and length 20 cm…
• The area of cross section of the rope used to lift a load by a crane is 2.5 × 10⁻⁴ m²…
• Two wires of same length and radius are joined end to end and loaded. The Young's…
• The length of a light string is 1.4 m when the tension on it is 5 N . If the tension…
• The density and breaking stress of a wire are 6 × 10⁴ kg / m³ and 1.2 × 10⁸ N / m²…
• A wire is stretched so that its length is doubled. The longitudinal strain is:
• Two wires as shown in the figure below, made of steel and have breaking stress of 12×…
• A metal block of mass m is suspended from a rigid support through a metal wire of…
• A steel rod with y = 2.0 × 10¹¹ Nm⁻² and α = 10⁻⁵ °C⁻¹ of length 4 m and area of…
• One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the other…
• A thin rod having a length of 1 m and area of cross-section 3 × 10⁻⁶ m² is suspended…
• The value of tension in a long thin metal wire has been changed from T₁ to T₂. The…
• A wire of length L and radius r is clamped at one end. If its other end is pulled by a…
• The elongation of a wire on the surface of the earth is 10⁻⁴ m. The same wire of same…
• Four identical hollow cylindrical columns of mild steel support a big structure of mass…
• Two metallic wires P and Q have same volume and are made up of same material. If their…
• A uniform wire of length l of weight w is suspended from the roof with a weight of W at…
• A lift of mass 1600 kg is supported by thick iron wire. If the maximum stress which the…
• A wire of length L is hanging from a fixed support. The length changes to L₁ and L₂ when…
• Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth…

Elastic Moduli

• A 3 m long wire of radius 3 mm shows an extension of 0.1 mm when loaded vertically by a…
• The depth below the surface of sea to which a rubber ball be taken so as to decrease its…
• Figure represents the extension (Δ l) of a wire of length 1 meter, suspended from the…
• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• Young's modules of material of a wire of length 'L' and cross-sectional area A is Y. If…
• Under the same load, wire A having length 5.0 m and cross section 2.5 × 10⁻⁵ m²…
• Choose the correct relationship between Poisson ratio (σ), bulk modulus (K) and modulus…
• The Young's modulus of a steel wire of length 6 m and cross-sectional area 3 mm², is 2 ×…
• Two slabs with square cross section of different materials (1,2) with equal sides (l)…
• The increase in the pressure required to decrease the volume ( Δ V ) of water is 6.3×…
• The speed of a transverse wave passing through a string of length 50 cm and mass 10 g is…
• A string A of length 0.314 m and Young's modulus 2× 10¹⁰ N/m² is connected to another…
• A steel wire of length 3.2 m(Yₛ=2.0 × 10¹¹ Nm⁻²) and a copper wire of length 4.4…
• The increase in pressure required to decrease the volume of a water sample by 0.2 % is P…
• A cube has side length 5 cm and modulus of rigidity 10⁵ N/m². The displacement produced…
• When a rubber ball is taken to a depth of __________m in deep sea, its volume decreases…
• The force required to stretch a wire of cross-section 1 cm² to double its length will be…
• The fractional compression ( (Δ V)/V ) of water at the depth of 2.5 km below the sea…
• A wire of length L and radius r is clamped rigidly at one end. When the other end of the…
• A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. It is subjected…

Elastic Potential Energy

• A steel wire of length 2 m and Young's modulus 2.0 × 10¹¹ N m⁻² is stretched by a force…
• A copper wire of length 3 m is stretched by 3 mm by applying an external force. The…
• The elastic potential energy stored in a steel wire of length 20 m stretched through 2…
• The elastic behaviour of material for linear stress and linear strain, is shown in the…
• A stone of mass 20 g is projected from a rubber catapult of length 0.1 m and area of…
• A spring with spring constant 400 N/m is compressed by 0.1 m. The energy stored in the…
• The area of cross-section of a railway track is 0.01 m². The temperature variation is…
• An aluminium rod with Young's modulus Y=7.0 × 10¹⁰ N / m² undergoes elastic strain of…
• If the potential energy between two molecules is given by U = - A/r⁶ + B/r¹², then at…
• Two steel wires having same length are suspended from a ceiling under the same load. If…

More Physics chapters

• Basic Mathematics for Physics
• Units, Dimensions & Errors
• Rectilinear Motion
• Vectors
• Projectile Motion & Relative Motion
• Newton's Laws of Motion
• Friction
• Circular Motion
• Work, Energy & Power
• Centre of Mass & Linear Momentum
• Collision
• Rotational Motion
• Gravitation
• Simple Harmonic Motion
• Fluid Mechanics
• Surface Tension
• Thermometry & Calorimetry
• Kinetic Theory of Gases
• Thermodynamics
• Heat Transfer
• Mechanical Waves
• Sound Waves
• Experimental Skills
• Electrostatics I — Charges, Field & Gauss's Law
• Electrostatics II — Potential & Capacitance
• Current Electricity
• Moving Charges & Magnetism
• Magnetism & Matter
• Electromagnetic Induction
• Alternating Current
• Electromagnetic Waves
• Ray Optics
• Wave Optics
• Dual Nature of Radiation & Matter
• Atomic Physics
• Nuclear Physics
• Semiconductors & Electronic Devices
• Communication Systems

Frequently asked questions

How many Elasticity questions are there for JEE Main?

PrepWiser has 95 Elasticity questions for JEE Main, grouped into 3 topics such as Stress and Strain, Elastic Moduli and Elastic Potential Energy.

Are these Elasticity questions from previous-year JEE Main papers?

Yes — most are genuine previous-year questions from past JEE Main papers, and the rest are practice questions written to match the JEE Main pattern and difficulty.

Where can I see the answers and solutions to these Elasticity questions?

Open any Elasticity question in PrepWiser (it is free) to attempt it; most come with a step-by-step solution.