Elasticity

Two wires \(A\) and \(B\) of same cross-section are connected end to end. When same tension is created in both wires, the elongation in \(B\) wire is twice the elongation in \(A\) wire. If \(L_A\) and \(L_B\) are the initial lengths of the wires \(A\) and \(B\) respectively, then (Young's modulus of material of wire \(A=2 \times 10^{11} \mathrm{~Nm}^{-2}\) and Young's modulus of material of wire \(B=1.1 \times 10^{11} \mathrm{~Nm}^{-2}\)).