Question

The dimensions of strain is:

• A. $L$
• B. $L^2$
• C. It is dimensionless
• D. $M{L}^2{T}^{-2}$

Answer 1

Answer: (C)

It is dimensionless

Strain is a measure of deformation representing the displacement between particles in the body relative to a reference length.

Linear strain is given by:

$e=\frac{\Delta L}{L}$

Dimensions of strain are:

$\left[e\right]=\frac{\left[M^0{L}^1{T}^0\right]}{\left[M^0{L}^1{T}^0\right]}=\left[M^0{L}^0{T}^0\right]$

Hence, it is dimensionless.