JEE Main & Advanced Physics Transmission of Heat Sample Paper Topic Test - Transmission Of Heat

  • question_answer
    Find the equivalent thermal resistance of combination of rods as shown in figure. Every rod has same length I and cross-sectional area A. Thermal conductivities are mentioned in figure.

    A) \[\frac{1}{4KA}\]

    B) \[\frac{7l}{4KA}\]

    C) \[\frac{7l}{12KA}\]

    D) \[\frac{l}{12KA}\]

    Correct Answer: C

    Solution :

    [c] \[{{R}_{1}}=\frac{l}{KA},{{R}_{2}}=\frac{l}{2KA},{{R}_{3}}=\frac{l}{4KA}\] \[{{R}_{eq}}=\left( \frac{{{R}_{1}}{{R}_{2}}}{{{R}_{1}}+{{R}_{2}}}+{{R}_{3}} \right)=\frac{7l}{12KA}\] [as rods 1 and 2 are in parallel and equivalent is in series with 3].


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