"Correct Answer - Option 1 : Youngs modulus
CONCEPT:
- Young's modulus: It states that the mechanical property of a material to withstand the compression or the elongation with respect to its length is called Young's modulus.
- It is also referred to as the Elastic Modulus or Tensile Modulus is a measure of mechanical properties of linear elastic solids like rods, wires, and such.
- There are other numbers that give us a measure of elastic properties of a material, like Bulk modulus and shear modulus, but the value of Young’s Modulus is most commonly used.
- This is because it gives us information about the tensile elasticity of a material (ability to deform along an axis).
Formula:
E = σ /ε
where E is Young’s modulus in Pa, σ is the uniaxial stress in Pa,ε is the strain or proportional deformation.
- Shear modulus (G): It is one of the measures of mechanical properties of solids.
- Other elastic moduli are Young’s modulus and bulk modulus.
- The shear modulus of material gives us the ratio of shear stress to shear strain in a body.
- Measured using the SI unit pascal or Pa.
- The dimensional formula of Shear modulus is M1L-1T-2.
Formula:
G = τ/γ
where, τ = shear stress (F/A), γ = shear strain(ΔL/L).
- Bulk Modulus: It is given by the ratio of pressure applied to the corresponding relative decrease in the volume of the material.
Formula:
B = ΔP /(ΔV/V)
where,
B: Bulk modulus
ΔP: change of the pressure or force applied per unit area on the material
ΔV: change of the volume of the material due to the compression
V: Initial volume of the material in the units of in the English system and N/m2 in the metric system.
EXPLANATION:
- From the above discussion, it's clear that the mechanical property of a material to withstand the compression or the elongation with respect to its length is called Young's modulus.
The correct option is 1.
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