The modulus of elasticity of elastic strings or springs made of the same material, but of different cross-sectional area, will vary, and Young’s modulus of elasticity states the relationship as $E=\frac{\lambda }{A}$ giving Hooke’s law as $T=\frac{EA}{l}x$ where E = Young’s modulus of elasticity, λ‎ = modulus of elasticity, A = cross-sectional area, l = natural length, and x = extension from natural length.