Two wires A and B are made of same material having ratio of lengths \(\frac{{\mathrm{L}}_{\mathrm{A}}}{{\mathrm{L}}_{\ma…

Two wires A and B are made of same material having ratio of lengths \(\frac{{\mathrm{L}}_{\mathrm{A}}}{{\mathrm{L}}_{\mathrm{B}}}=\frac{1}{3}\) and their diameters ratio \(\frac{{\mathrm{d}}_{\mathrm{A}}}{{\mathrm{d}}_{\mathrm{B}}}=2\). If both the wires are stretched using same force, what would be the ratio of their respective elongations?