*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^{–1}T^{–2}] [see here how to find the dimensional formula of stress ]

The dimension of Strain = [M^{0}L^{0}T^{0}] [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**

^{–1}T^{–2}] / [M^{0}L^{0}T^{0}]=

**[ML**^{–1}T^{–2}] **Dimensional formula of Modulus of Elasticity **

**=**

**[ML**^{–1}T^{–2}]Note: **Modulus of Elasticity**, stress, and pressure have the same dimensional formula.