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Two rods whose length difference stays constant or which expand equally (L1 alpha1 = L2 alpha2)

This type of question, asked 7 times: 3 May 2023 S1, 3 May 2023 S2, 9 May 2023 S1, 16 May 2023 S2, 11 May 2024 S2, 19 Apr 2025 S1, 26 Apr 2025 S1. All 7 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    22
    Two rods, one of aluminium and the other of steel, having initial lengths 'L1L_1' and 'L2L_2' are connected together. The coefficients of linear expansion of aluminium and steel are 'α1\alpha_1' and 'α2\alpha_2' respectively. If the length of each rod increases by the same amount when their temperatures are raised by t∘Ct^\circ\text{C}, then the ratio L1L1+L2\frac{L_1}{L_1+L_2} will be

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  2. Question 2

    3 May 2023 S2

    30
    Two rods, one of copper (Cu) and the other of iron (Fe) having initial lengths L1L_1 and L2L_2 respectively are connected together to form a single rod of length L1+L2L_1+L_2. The coefficient of linear expansion of Cu and Fe are αc\alpha_c and αi\alpha_i respectively. If the length of each rod increases by the same amount when their temperatures are raised by t∘Ct^{\circ}C, then ratio of L1−L2L1+L2\frac{L_1-L_2}{L_1+L_2} will be

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  3. Question 3

    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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  4. Question 4

    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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  5. Question 5

    11 May 2024 S2

    39
    The difference in length between two rods A and B is 60 cm at all temperatures. If αA=18×10−6/∘C\alpha_A = 18 \times 10^{-6}/{}^{\circ}\text{C} and αB=27×10−6/∘C\alpha_B = 27 \times 10^{-6}/{}^{\circ}\text{C}, the lengths of the two rods are

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  6. Question 6

    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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  7. Question 7

    26 Apr 2025 S1

    28
    The difference in length between two rods A and B is 60 cm at all temperatures. If αA=18×10−6/ ∘C\alpha_{A}= 18 \times10^{- 6}/\ ^{\circ}C and αB=27×10−6/ ∘C\alpha_{B}= 27 \times10^{- 6}/\ ^{\circ}C, then the length of rodArodA and rodBrodB at 0∘C0^{\circ}C is respectively

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