# What is the Dimensional Formula of Coefficient of Elasticity?

Posted in Dimensional Formulae | Email This Post |Coefficient of Elasticity is defined as the ratio of stress and strain.

Mathematically

**Coefficient of Elasticity = Stress/Strain**

Now we know

**Strain= Change in dimension/Original dimension
Stress = Force/ Area**

Thus

Dimensional Formula of Stress= (M

^{1}L

^{-1}T

^{-2})

Dimensional Formula of Strain= (M

^{0}L

^{0}T

^{0})

Putting these values in above equation we get

**Dimensional Formula of Coefficient of Elasticity= M ^{1}L^{-1}T^{-2}**

SI units

**of**

**Coefficient of Elasticity**

**is**

**Nm**

^{-2}Please note the units of Coefficient of Elasticity are same as that of Stress, Pressure because Strain has no units.

M8e I believe that it should be L^2 as it is force over area, which is pressure noon.

Thanks buddy.

Thank you!!!