A steel wire of length 4.7 ~m and cross-sectional area 3.0 10⁻⁵ ~m ² stretches by the same amount as a copper wire of length 3.5 ~m and cross-sectional area of 4.0 10⁻⁵ ~m ² under a given load. What is the ratio of Young's modulus of steel to that of copper?

Step-by-step solution

Given, for stoul wire, Area, A₁=3 10⁻⁵ ~m ^ g Length, L₁=4.7 ~m For copper wire, A₂=4 10⁻⁵ ~m ², L₂=3.5 ~m If ₁ ynd ₂ be the Young's modulus for the material steel wire und copper wire respectively, then aligned ₁ ₂ &= K₁ L₁ A₁ S r₂ L₂ A₂ A l ₁ ₂ &= L₃ A₂ L₂ A₁ [ F₁=F₂ ] &= 4.7 4 10⁻⁵ 35 3 10⁻⁵ =1.8 ₄: ₂ &=1.8: 1 aligned