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All dimensions of a rod doubled, same temperature difference: new rate of heat flow

The same question, asked 3 times: 2 May 2023 S2, 15 May 2023 S2, 16 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S2

    6
    Rate of flow of heat through a cylindrical rod is 'H1_1'. The temperature at the ends of the rod are 'T1_1' and 'T2_2'. If all the dimensions of the rod become double and the temperature difference remains the same, the rate of flow of heat becomes 'H2_2'. Then

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  2. Question 2

    15 May 2023 S2

    15
    A cylindrical rod is having temperatures θ1\theta_1 and θ2\theta_2 at its ends. The rate of heat flow is QQ J/s. All the linear dimensions of the rod are doubled by keeping the temperature constant. The new rate of flow of heat is

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  3. Question 3

    16 Apr 2026 S1

    114
    Rate of flow of heat through a cylindrical rod is 'H1H_1'. The temperature at the ends of the rod are T1T_1 and T2T_2. If all the dimensions of the rod become double and the temperature difference remains the same and if the rate of flow of heat becomes 'H2H_2' then H2=H_2 =

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