"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
**M**^{1}L^{-1}T^{-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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