NEET UG - Youngs modulus, bulk modulus, modulus of rigidity One Line Questions & Answers

1. What is the value of Poisson's ratio (σ) if the lateral strain is zero for a given tensile strain? — 0

2. For an isotropic elastic material, the theoretical upper limit for Poisson's ratio is: — 0.5

3. For a material, Y = 200 GPa and G = 80 GPa. Calculate Poisson's ratio. — 0.25

4. If a wire is stretched such that its length increases by 0.1%, and its diameter decreases by 0.04%, what is the Poisson's ratio? — 0.4

5. What is the compressibility of a substance with a bulk modulus of 2 x 10^11 Pa? — 0.5 x 10^-11 Pa^-1

6. For an isotropic material, the number of independent elastic constants is: — 2

7. If Poisson's ratio for a material is 0.2, what is the ratio of Young's modulus to bulk modulus? — 5.0

8. A 10 cm side cube is subjected to a shear stress of 100 MPa. The top face is displaced by 0.1 cm relative to the bottom face. Calculate the modulus of rigidity. — 10^11 Pa

9. A sphere of volume 1 m³ is submerged in a liquid and the pressure increases by 10^7 Pa. The volume decreases by 0.01 m³. What is the bulk modulus of the sphere material? — 10^11 Pa

10. What is the bulk modulus of a material if Y = 200 GPa and σ = 0.25? — 133.33 GPa

11. A steel wire of length 1 m and cross-sectional area 1 mm² is stretched by 1 mm by a force of 200 N. What is the Young's modulus of steel? — 2 x 10^11 Pa

12. A material has Y = 120 GPa and σ = 0.3. What is its shear modulus? — 46.15 GPa

13. The formula for bulk modulus (B) is B = - (Pressure Change) / (Volumetric Strain). If a substance's volume changes by ΔV due to a pressure change ΔP, and its initial volume is V, what is the expression for bulk modulus? — B = - (ΔP * V) / ΔV

14. What is the relationship between bulk modulus (B) and Young's modulus (Y) in terms of Poisson's ratio (σ)? — B = Y / (3(1 - 2σ))

15. Which elastic modulus is most relevant for understanding the behavior of a spring? — Young's modulus

16. Which elastic modulus is most relevant for understanding how a solid object deforms when a force is applied parallel to one of its surfaces? — Modulus of rigidity

17. A rod is subjected to equal and opposite forces applied to its ends, causing it to stretch. This is a scenario for determining: — Young's modulus

18. Which modulus is most directly related to the concept of strain energy density under tension? — Young's modulus

19. A material with a high modulus of rigidity will: — Resist deformation of shape

20. If a tangential force F is applied to the surface of a body of area A, causing a displacement x parallel to the force and perpendicular to the height h, what is the expression for the modulus of rigidity (G)? — G = (F * h) / (A * x)

21. A material with a high Young's modulus is considered to be: — Very elastic and stiff

22. If a material is stretched, its volume: — May increase or decrease depending on Poisson's ratio

23. What happens to the volume of a body when it is subjected to a large shear stress? — It changes negligibly.

24. The modulus of rigidity is defined as the ratio of: — Shear stress to shear strain

25. What are the units of Young's modulus in the SI system? — Pascal (Pa)

26. What are the units of bulk modulus in the SI system? — Pascal (Pa)

27. What are the units of the modulus of rigidity in the SI system? — Pascal (Pa)

28. For an elastic material, it is known that Y > B > G. This implies: — The material has low resistance to shear.

29. What does bulk modulus (B) quantify? — Resistance to volume change under uniform pressure

30. What does the modulus of rigidity (G), also known as shear modulus, measure? — Resistance to shape change without volume change

31. What does Young's modulus measure? — Resistance to elongation or compression along an axis

32. Which type of stress is primarily involved when calculating Young's modulus? — Tensile or compressive stress

33. Bulk modulus is defined as the ratio of: — Normal stress to volumetric strain

34. The strain energy stored per unit volume in a deformed elastic material is given by: — 0.5 * Stress * Strain

35. A substance with a very low bulk modulus is: — Easily compressible

36. Stress is defined as force per unit: — Area

37. Consider a cube of side 'a'. If a tangential force F is applied to the top face, causing it to shift by 'x', what is the shear strain? — x/a

38. The formula for Young's modulus (Y) is given by Y = Stress / Strain. If a wire of length L and cross-sectional area A is stretched by a force F, resulting in an extension x, what is the expression for Young's modulus? — Y = (F * L) / (A * x)

39. What is the relationship between Young's modulus (Y) and shear modulus (G) in terms of Poisson's ratio (σ)? — Y = 2G(1 + σ)

40. If Y is Young's modulus, B is bulk modulus, and G is shear modulus, which relation is always true for isotropic materials? — G = Y / (2(1 + σ))

41. What is the relationship between Young's modulus (Y), bulk modulus (B), and shear modulus (G) for an isotropic material? — Y = 9BG / (3B + G)

42. For most materials, the order of magnitude of the three elastic moduli is typically: — Y ≈ B ≈ G

43. Which elastic modulus is most relevant for understanding how a submarine resists crushing at depth? — Bulk modulus

44. When a solid is subjected to uniform pressure, its volume decreases. This property is related to which modulus? — Bulk modulus

45. Compressibility is the reciprocal of which modulus? — Bulk modulus

46. Which of the following is NOT a measure of elastic property of a solid? — Tensile strength

47. When a gas is compressed, the relevant modulus is: — Bulk modulus

48. A block is pushed sideways, distorting its shape but not its volume. This deformation is directly related to: — Modulus of rigidity

49. Which of the following is a dimensionless quantity? — Strain

50. Which of the following statements is true for an elastic material? — The relationship between the moduli depends on the material's properties.

Youngs modulus, bulk modulus, modulus of rigidity - One Line Questions