Elastic behaviour, stress strain relationship, Hookes law - Question Bank

1. The ratio of the change in diameter to the original diameter of a wire when stretched is called:
A) Longitudinal strain
B) Volumetric strain
C) Lateral strain
D) Shear strain
2. Which stress-strain relationship is parabolic?
A) Within the elastic limit
B) In the plastic region for ductile materials
C) For brittle materials
D) Beyond the ultimate tensile strength
3. The phenomenon where a material returns to its original shape after the removal of deforming force is called:
A) Plasticity
B) Elasticity
C) Brittleness
D) Malleability
4. For a perfectly rigid body, which of the following is true?
A) Young's modulus is zero
B) Young's modulus is infinite
C) Bulk modulus is zero
D) Shear modulus is zero
5. Which of the following statements about elasticity is incorrect?
A) Elasticity is the property of matter to restore its original shape.
B) Hooke's law is valid up to the elastic limit.
C) All materials are perfectly elastic.
D) Stress is directly proportional to strain within the elastic limit.
6. A spring obeys Hooke's Law. If the spring is stretched by 2 cm by a force of 10 N, what force is required to stretch it by 6 cm?
A) 10 N
B) 20 N
C) 30 N
D) 40 N
7. Which of the following is a unit of stress?
A) N/m³
B) Nm
C) N/m²
D) m/N
8. A material is considered ductile if it can be drawn into wires. This property is related to its ability to:
A) Deform elastically
B) Deform plastically without fracture
C) Resist shear stress
D) Withstand high compressive forces
9. The area under the entire stress-strain curve up to the fracture point represents:
A) Elastic limit
B) Yield strength
C) Toughness
D) Resilience
10. The area under the elastic portion of a stress-strain curve represents:
A) Work done per unit volume in deforming the material
B) Energy stored per unit volume
C) Toughness
D) Resilience
11. If the stress applied to a material is doubled, and it remains within the elastic limit, the strain will:
A) Remain the same
B) Be halved
C) Be doubled
D) Become zero
12. Which of the following is NOT a modulus of elasticity?
A) Young's Modulus
B) Shear Modulus
C) Bulk Modulus
D) Poisson's Ratio
13. When a solid cube is subjected to uniform pressure from all sides, it experiences:
A) Tensile stress and linear strain
B) Shear stress and shear strain
C) Volumetric stress and volumetric strain
D) Compressive stress and linear strain
14. A steel wire is much stiffer than a rubber cord. This means steel has a:
A) Lower Young's modulus
B) Higher Young's modulus
C) Lower elastic limit
D) Higher Poisson's ratio
15. Which of the following represents the dimensional formula for strain?
A) [MLT⁻²]
B) [M⁰L⁰T⁰]
C) [ML⁻¹T⁻²]
D) [MLT⁻¹]
16. Which of the following represents the dimensional formula for stress?
A) [MLT⁻²]
B) [ML⁻¹T⁻²]
C) [ML²T⁻²]
D) [MLT⁻¹]
17. The relationship Y = Stress / Strain holds true only:
A) Beyond the elastic limit
B) Within the elastic limit
C) At the point of fracture
D) For all stress values
18. If a wire of original length L elongates by ΔL under a tensile stress, the tensile strain is:
A) ΔL
B) L/ΔL
C) ΔL/L
D) L * ΔL
19. If a wire of length L and cross-sectional area A is stretched by a force F, the tensile stress is given by:
A) F/L
B) F/A
C) A/F
D) L/F
20. When a wire is stretched by a force, the stress experienced by the wire is:
A) Shear stress
B) Volumetric stress
C) Tensile stress
D) Compressive stress
21. The stress at which a material fractures is known as:
A) Yield strength
B) Elastic limit
C) Tensile strength
D) Fracture strength
22. A material that breaks with little or no plastic deformation after the elastic limit is reached is called:
A) Ductile
B) Malleable
C) Brittle
D) Elastic
23. For most materials, the value of Poisson's ratio lies between:
A) 0 and 1
B) -1 and 0
C) 0 and 0.5
D) 0.5 and 1
24. Poisson's ratio (σ) is the ratio of:
A) Lateral strain to longitudinal strain
B) Longitudinal strain to lateral strain
C) Shear strain to shear stress
D) Tensile stress to linear strain
25. Liquids are generally considered:
A) Highly elastic
B) Incompressible
C) Easily compressible
D) Rigid
26. A negative sign is included in the definition of bulk modulus because:
A) Pressure is negative
B) Volume increases with applied stress
C) Volume decreases with applied stress
D) The material is incompressible
27. Bulk modulus (K) is defined as:
A) Shear stress / Shear strain
B) Tensile stress / Linear strain
C) - (Volumetric stress) / Volumetric strain
D) Normal stress / Volumetric strain
28. The modulus of elasticity that relates volumetric stress to volumetric strain is called:
A) Young's modulus
B) Shear modulus
C) Modulus of Rigidity
D) Bulk modulus
29. Shear modulus (G) is defined as:
A) Tensile stress / Linear strain
B) Shear stress / Shear strain
C) Normal stress / Volumetric strain
D) Bulk stress / Volumetric strain
30. The modulus of elasticity that relates shear stress to shear strain is called:
A) Young's modulus
B) Bulk modulus
C) Shear modulus
D) Modulus of Rigidity
31. A material with a high Young's modulus is considered:
A) Flexible
B) Stiff
C) Brittle
D) Easily deformable
32. What is the SI unit of Young's modulus?
A) N
B) m
C) Pa
D) N/m
33. Young's modulus (Y) is defined as:
A) Shear stress / Shear strain
B) Normal stress / Volumetric strain
C) Tensile stress / Linear strain
D) Compressive stress / Linear strain
34. Which modulus of elasticity relates stress and strain for tensile or compressive forces?
A) Shear modulus
B) Bulk modulus
C) Young's modulus
D) Poisson's ratio
35. Ultimate Tensile Strength (UTS) represents the maximum stress a material can withstand:
A) Before permanent deformation
B) Before breaking
C) Under shear forces
D) At the elastic limit
36. The point on a stress-strain curve beyond which the material undergoes permanent deformation is called the:
A) Ultimate tensile strength
B) Elastic limit
C) Fracture point
D) Proportional limit
37. A stress-strain curve for a ductile material typically shows a region where strain increases significantly with little increase in stress. This region is known as:
A) Elastic region
B) Plastic region
C) Fracture point
D) Yielding
38. The elastic limit is the maximum stress that a material can withstand beyond which it will:
A) Return to its original shape
B) Undergo permanent deformation
C) Break immediately
D) Become perfectly elastic
39. Shear strain is defined as the ratio of:
A) Change in length to original length
B) Displacement parallel to the surface to the perpendicular distance
C) Change in volume to original volume
D) Change in radius to original radius
40. Which type of strain is associated with shear stress?
A) Linear strain
B) Volumetric strain
C) Shear strain
D) Tensile strain
41. Shear stress is produced when a force is applied:
A) Perpendicular to the surface
B) Parallel to the surface
C) Along the length
D) Across the width
42. Compressive stress is a type of normal stress that tends to:
A) Stretch a body
B) Twist a body
C) Compress a body
D) Shear a body
43. Tensile stress is a type of normal stress that tends to:
A) Compress a body
B) Stretch a body
C) Twist a body
D) Bend a body
44. Which type of stress is produced when a force is applied perpendicular to the surface of a body?
A) Shear stress
B) Tensile stress
C) Compressive stress
D) Normal stress
45. The constant of proportionality between stress and strain within the elastic limit is called:
A) Strain
B) Stress
C) Elastic Limit
D) Modulus of Elasticity
46. Hooke's Law states that within the elastic limit, stress is directly proportional to:
A) Volume
B) Force
C) Strain
D) Area
47. Strain is defined as the ratio of:
A) Change in volume to original volume
B) Change in length to original length
C) Applied force to original area
D) Applied force to change in length
48. Which of the following is a measure of the external force applied per unit area of a body?
A) Strain
B) Stress
C) Elastic Limit
D) Modulus of Elasticity
49. What property of a material allows it to resist deformation under stress and return to its original shape after the stress is removed?
A) Plasticity
B) Elasticity
C) Brittleness
D) Ductility