Here, we will find out the dimensional formula of the Modulus of elasticity.
This Dimensional formula will be applicable for 3 different sets of elasticity modulus: These are (a) Young’s Modulus (2) Shear Modulus (3) Bulk modulus
The Modulus of Elasticity is the ratio of Stress and Strain.
The formula of Modulus of Elasticity = Stress/Strain
The dimensional formula of Stress = [ML–1T–2] [see here how to find the dimensional formula of stress ]
The dimension of Strain = [M0L0T0] [see here how to find the dimensional formula of strain ]
Hence, the Dimensional formula of Modulus of Elasticity
= The dimensional formula of stress / The dimensional formula of strain
= [ML–1T–2] / [M0L0T0]
Dimensional formula of Modulus of Elasticity = [ML–1T–2]