Class 11PhysicsMechanical Properties of SolidsBasic of Elasticity, Stress and Strain relationship and Graphical analysis
EasyWhy does strain have no unit?
(N/A) Strain is defined as the ratio of the change in dimension to the original dimension of a body.
Mathematically,$\text{Strain} = \frac{\Delta L}{L}$.
Since both the numerator (change in dimension) and the denominator (original dimension) represent the same physical quantity (length),their units cancel each other out.
Therefore,strain is a dimensionless and unitless quantity.
Mathematically,$\text{Strain} = \frac{\Delta L}{L}$.
Since both the numerator (change in dimension) and the denominator (original dimension) represent the same physical quantity (length),their units cancel each other out.
Therefore,strain is a dimensionless and unitless quantity.
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List-$I$ List-$II$ $(A)$ $A$ force that restores an elastic body of unit area to its original state $(I)$ Bulk modulus $(B)$ Two equal and opposite forces parallel to opposite faces $(II)$ Young's modulus $(C)$ Forces perpendicular everywhere to the surface per unit area same everywhere $(III)$ Stress $(D)$ Two equal and opposite force perpendicular to opposite faces $(IV)$ Shear modulus
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| List-$I$ | List-$II$ |
|---|---|
| $(A)$ $A$ force that restores an elastic body of unit area to its original state | $(I)$ Bulk modulus |
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