JEE Main - Young’s modulus, bulk modulus and modulus of rigidity One Line Questions & Answers

1. If the length of a wire increases by 1% under tensile stress, the longitudinal strain is: — 0.01

2. If two wires of the same material and length have different cross-sectional areas, the one with the larger area will have: — The same Young's modulus

3. If a substance's volume changes from V to V - ΔV under a uniform pressure P, how is bulk modulus (B) expressed? — B = (P*V) / ΔV

4. A material is said to be ductile if it: — Undergoes significant plastic deformation before fracture.

5. The ratio of tensile stress to tensile strain is: — Young's modulus

6. A material is said to be brittle if it: — Fractures with little or no plastic deformation.

7. Modulus of rigidity is a measure of a material's resistance to: — Twisting or shearing deformation

8. The reciprocal of bulk modulus is known as: — Compressibility

9. A substance with a very small or negative bulk modulus would be: — Easily compressed

10. A material with a high modulus of rigidity is: — Resistant to twisting and shearing

11. If a tangential force F is applied to the top surface of area A of a solid, causing a displacement Δx parallel to the force, and the height of the solid is h, how is the modulus of rigidity (G) expressed? — G = (F*h) / (A*Δx)

12. For a solid material, the relationship B = Y / (3(1 - 2σ)) implies that for B to be positive, the value of Poisson's ratio (σ) must be: — Less than 0.5

13. A material that deforms significantly under small shear stress has a: — Low modulus of rigidity

14. If the bulk modulus of a substance is very high, it means: — It is difficult to compress.

15. What does a Poisson's ratio of 0.5 indicate for a material? — It is incompressible.

16. Consider a rubber band. It has a low Young's modulus because: — It is easily stretched.

17. If a material has a Poisson's ratio of 0, it means: — Its lateral dimension does not change when stretched or compressed.

18. A material with a high Young's modulus is considered: — Stiffer (less deformable)

19. What is the unit of Young's modulus in the SI system? — N/m²

20. The unit of bulk modulus in the SI system is: — N/m²

21. The unit of modulus of rigidity in the SI system is: — N/m²

22. What is the unit of strain? — Dimensionless

23. The ratio of stress to strain is constant within the elastic limit according to: — Hooke's Law

24. The process of stretching a wire involves which type of stress and strain? — Longitudinal stress and longitudinal strain

25. Young's modulus is a measure of a material's resistance to: — Elastic deformation under tensile or compressive stress

26. Which of the following quantities has the same units as Young's modulus? — Stress

27. Bulk modulus quantifies a material's resistance to: — Compression or expansion in all directions (change in volume)

28. Which type of stress is directly related to the modulus of rigidity? — Shear stress

29. In the context of elasticity, the elastic limit refers to: — The maximum stress a material can withstand before permanent deformation occurs.

30. What is the definition of Young's modulus? — The ratio of longitudinal stress to longitudinal strain within the elastic limit.

31. What is bulk modulus? — The ratio of volumetric stress to volumetric strain within the elastic limit.

32. What is the modulus of rigidity, also known as shear modulus? — The ratio of shear stress to shear strain within the elastic limit.

33. Which type of deformation is primarily associated with Young's modulus? — Compression or stretching along a single dimension

34. The modulus of rigidity is particularly important when analyzing the behavior of materials under: — Torsional stress

35. Hooke's Law states that within the elastic limit, stress is proportional to: — Strain

36. If a wire of length L and cross-sectional area A is stretched by a force F, and its extension is ΔL, how is Young's modulus (Y) expressed? — Y = (F*L) / (A*ΔL)

37. What is the relationship between Young's modulus (Y), modulus of rigidity (G), and Poisson's ratio (σ) for an isotropic material? — Y = 2G(1 + σ)

38. What is the relationship between Young's modulus (Y), bulk modulus (B), and Poisson's ratio (σ) for an isotropic material? — Y = 3B(1 - 2σ)

39. For solids, which of the following relationships generally holds true? — Y > G > B

40. For a fluid at rest, which modulus is most relevant for describing its compressibility? — Bulk modulus

41. Which elastic modulus is zero for an ideal fluid? — Both Young's modulus and modulus of rigidity

42. When a cube is subjected to uniform pressure from all sides, its resistance to this change in volume is described by: — Bulk modulus

43. Consider a rod under tensile stress. The ratio of lateral strain to longitudinal strain is called: — Poisson's ratio

44. Which of the following is NOT a type of elastic modulus? — Tensile strength

45. When a solid cylinder is compressed uniformly from all sides, the relevant elastic modulus is: — Bulk modulus

46. Which elastic modulus determines how much a solid object will deform in volume when subjected to uniform pressure? — Bulk modulus

47. Which of the following is the correct order of magnitude for elastic moduli in typical solids? — Young's Modulus > Bulk Modulus > Modulus of Rigidity

48. Which of the following statements is INCORRECT regarding elastic moduli? — For a given material, Young's modulus is always less than the modulus of rigidity.

49. For an incompressible material, which of the following statements is true? — Bulk modulus is infinite.

50. If a material is perfectly rigid, what would be its Young's modulus? — Infinite

Young’s modulus, bulk modulus and modulus of rigidity - One Line Questions