Young's modulus E is given by the formula: E = STRESSSTRAIN\frac{\text{STRESS}}{\text{STRAIN}}STRAINSTRESS
Stress = ForceArea\frac{\text{Force}}{\text{Area}}AreaForce
Dimension of force = MLT−2^{-2}−2
Dimension of Area = L2^22
Dimension of strain = 1(dimensionless)
E = MLT−1L2\frac{MLT^{-1}}{L^2}L2MLT−1 = ML−1^{-1}−1T−2^{-2}−2
