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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Explain what is stress? Write its unit and dimensional formula.
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View SolutionMatch the details of Column-$II$ with the given information in Column-$I$ appropriately.
Column-$I$ Column-$II$ $(a)$ Stress is proportional to strain. $(i)$ Elastic limit $(b)$ When the load on the wire is removed, the body regains its original dimension. $(ii)$ Limit of proportionality $(iii)$ Plastic deformation
| Column-$I$ | Column-$II$ |
| $(a)$ Stress is proportional to strain. | $(i)$ Elastic limit |
| $(b)$ When the load on the wire is removed, the body regains its original dimension. | $(ii)$ Limit of proportionality |
| $(iii)$ Plastic deformation |
Easy
View SolutionDimensions of strain are
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