Tensile Modulus , Modulus of Elasticity, Young modulus is defined as the stress required to cause a unit strain in the material. It is the ratio of linear stress to linear strain.
Mathematically,
Tensile Modulus , Modulus of Elasticity, Young modulus = linear stress / linear strain.
Dimensional Formula of linear stress = M1L-1T-2
Dimensional Formula of linear strain = M0L0T0
Substituting in the above equation we get,
Dimensional Formula of Tensile Modulus , Modulus of Elasticity, Young modulus = M1L-1T-2
SI unit of Tensile Modulus , Modulus of Elasticity, Young modulus = N m-2