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?

[JEE Main 2025, 7 Apr (Shift 1)]

Question

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?

[JEE Main 2025, 7 Apr (Shift 1)]

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