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Difference between the lengths of two rods stays the same at all temperatures: ratio of their lengths

The same question, asked 3 times: 9 May 2023 S1, 16 May 2023 S2, 19 Apr 2025 S1. Every wording below, oldest first.

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  1. Question 1

    9 May 2023 S1

    27
    At a certain temperature, rod A and rod B of different materials have lengths LAL_A and LBL_B respectively. Their coefficients of linear expansion are αA\alpha_A and αB\alpha_B respectively. It is observed that the difference between their lengths remains constant at all temperatures. The ratio LA:LBL_A : L_B is given by

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  2. Question 2

    16 May 2023 S2

    35
    At certain temperature, rod A and rod B of different materials have lengths LAL_A and LBL_B respectively. Their coefficients of linear expansion are αA\alpha_A and αB\alpha_B respectively. It is observed that the difference between their lengths remains constant at all temperatures. The ratio LA/LBL_A/L_B is given by

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  3. Question 3

    19 Apr 2025 S1

    22
    Two rods of different materials have lengths ' l1l_{1} ' and ' l2l_{2} ' whose coefficient of linear expansions are ' α1\alpha_{1} ' and ' α2\alpha_{2} ' respectively. If the difference between the two lengths is independent of temperature then

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