A copper and a steel wire of same diameter are connected end to end. A deforming force F₁ is applied to the wire which causes an elongation of 1 ~cm . The two wires will have

Step-by-step solution

Let the copper wire have Young's modulus Y_C and the steel wire have Young's modulus Y_S . Both wires have the same diameter, so they have the same cross-sectional area A . When connected end to end and subjected to a deforming force F₁ , the tension in both wires is the same, equal to F₁ . The stress in each wire is given by = F₁ A . Since F₁ and A are the same for both wires, the stress is the same in both wires. The strain in each wire is given by = Y . Since the Young's moduli Y_C and Y_S are different for copp