Two wires A and B of the same cross-sectional areas, Young's modulii Y1 and Y2 and coefficients of linear expansion α1 and α2 respectively, are joined together and fixed between rigid supports at either ends at 0 ∘C. The tension in the compound wire when wire A is heated to temperature T1 and wire B is cooled to temperature T2 is equal to tension in the compund wire when only wire A is cooled to temperature T2. Find the correct option.

Two wires A and B of the same cross-sectional areas, Young's modulii Y

1.	Two wires A and B of the same cross-sectional areas, Young's modulii Y1 and Y2 and coefficients of linear expansion α1 and α2 respectively, are joined together and fixed between rigid supports at either ends at 0 ∘C. The tension in the compound wire when wire A is heated to temperature T1 and wire B is cooled to temperature T2 is equal to tension in the compund wire when only wire A is cooled to temperature T2. Find the correct option.
Answer» Two wires $A$ and $B$ of the same cross-sectional areas, Young's modulii $Y_{1}$ and $Y_{2}$ and coefficients of linear expansion $α_{1}$ and $α_{2}$ respectively, are joined together and fixed between rigid supports at either ends at $0^{\circ} C$ . The tension in the compound wire when wire $A$ is heated to temperature $T_{1}$ and wire $B$ is cooled to temperature $T_{2}$ is equal to tension in the compund wire when only wire $A$ is cooled to temperature $T_{2}$ . Find the correct option.

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