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Which of the following is NOT an elastic constant that is a measure of different strength properties of materials?
1. Modulus of fluidity
2. Modulus of elasticity
3. Modulus of rigidity
4. Bulk modulus

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Correct Answer - Option 1 : Modulus of fluidity

Explanation:

The various elastic constants that are the measure of different strength properties of materials are given below:

Young's modulus ( Modulus of Elasticity)

  • The mechanical property of a material to withstand the compression or the elongation with respect to its length of linear elastic solids like rods, wires etc is called Young's modulus.
  • It is also referred to as the Elastic Modulus or Tensile Modulus 
  • It gives us information about the tensile elasticity of a material (ability to deform along an axis).

\(\rm E =\frac {Normal ~stress}{Normal ~strain}= \frac {\sigma}{\epsilon}\)

where E is Young’s modulus in Pa, σ is the uniaxial stress in Pa,ε is the Normal strain or proportional deformation.

Modulus of rigidity:

  • It is also known as shear modulus.
  • It is the mechanical property of a material due to which it withstand shear stress and resist torsion. 
  • It is the ratio of shear stress to the corresponding shear strain within the elastic limit. This is denoted by G .

\(\rm \therefore {G} = \frac{{Shear\;stress}}{{Shear\;strain}} = \frac{\tau }{\phi }\)

Bulk modulus:

  • It is the mechanical property of a material due to which it resists the change in volume due to external pressure or equal stress in all directions.
  • The concept of bulk modulus can be used in the case of hydrostatic loading.
  • It is defined as the ratio of normal stress to the volumetric strain and denoted by 'K'

\(\rm K = \frac {Normal ~stress}{Volumetric ~strain}= \frac {\sigma }{\epsilon _v}\)

Modulus of fluidity is not an elastic constant which is the measure of the strength of properties of materials.

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