Mechanical Properties of Solids is a Class 11 Physics chapter that carries about 1.5% of the Physics questions in NEET. Practise it with 38 questions covering 2 topics, each with an explanation.
Sample questions on Mechanical Properties of Solids with answers
8 questions from the practice bank, spread across the chapter's topics. The full set is in the app.
Question 1: Stress, Strain and Hooke's Law
Hooke's law states that, within the elastic limit, stress is:
- A inversely proportional to strain
- B directly proportional to strain
- C independent of strain
- D proportional to the square of strain
Answer: B. directly proportional to strain
Why: Hooke's law: within the elastic limit, stress is directly proportional to strain — stress = modulus of elasticity × strain.
Question 2: Young's Modulus and Elastic Limit
Young's modulus of a perfectly rigid body is:
- A infinite
- B one
- C very small
- D zero
Answer: A. infinite
Why: The strain would be zero for any stress.
Question 3: Stress, Strain and Hooke's Law
The reciprocal of the bulk modulus of a material is called its:
- A elasticity
- B viscosity
- C compressibility
- D rigidity
Answer: C. compressibility
Why: Bulk modulus B = −Δp/(ΔV/V). Compressibility k = 1/B.
Question 4: Young's Modulus and Elastic Limit
A steel rod (Y = 2 × 10¹¹ N/m², α = 1.2 × 10⁻⁵ °C⁻¹) is clamped rigidly between two supports and heated by 10 °C. The thermal stress is:
- A 2.4 × 10⁷ N/m²
- B 2.4 × 10⁹ N/m²
- C 1.2 × 10⁷ N/m²
- D 2.4 × 10⁶ N/m²
Answer: A. 2.4 × 10⁷ N/m²
Why: σ = YαΔT = 2 × 10¹¹ × 1.2 × 10⁻⁵ × 10.
Question 5: Stress, Strain and Hooke's Law
The elastic energy stored per unit volume in a wire of Young's modulus 2 × 10¹¹ N/m² strained by 10⁻³ is:
- A 10⁸ J/m³
- B 10³ J/m³
- C 10⁵ J/m³
- D 2 × 10⁸ J/m³
Answer: C. 10⁵ J/m³
Why: u = ½Y(strain)² = ½ × 2 × 10¹¹ × 10⁻⁶ = 10⁵ J/m³.
Question 6: Young's Modulus and Elastic Limit
Two wires of the same material carry the same load. Wire A has length L and radius r, wire B has length 2L and radius 2r. The ratio of their extensions A : B is:
- A 1 : 1
- B 2 : 1
- C 4 : 1
- D 1 : 2
Answer: B. 2 : 1
Why: Δl ∝ L/r². For A it is L/r², for B it is 2L/4r² = L/2r². The ratio is 2 : 1.
Question 7: Stress, Strain and Hooke's Law
The elastic hysteresis of rubber means that:
- A it obeys Hooke's law exactly
- B the stress–strain curve for loading and unloading are different, and the area between them is the energy lost as heat
- C it is perfectly plastic
- D its Young's modulus is infinite
Answer: B. the stress–strain curve for loading and unloading are different, and the area between them is the energy lost as heat
Why: This is why rubber is used for shock absorbers and vibration dampers.
Question 8: Young's Modulus and Elastic Limit
Among steel, rubber, and glass, which typically has the highest Young's modulus (is stiffest)?
- A Rubber
- B Steel
- C Glass
- D All have equal Young's modulus
Answer: B. Steel
Why: Steel has a much higher Young's modulus than rubber (highly elastic/stretchy) or glass, making it significantly stiffer and more resistant to elastic deformation under stress.