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  • question_answer Match List-I (Governing Equations of Heat Transfer) with List-II (Specific Case of Heat Transfer) and select the correct answer using the code given below the lists:
    List-I (Governing Equations of Heat Transfer) List-II (Specific Cass of Heat Transfer)
    A. \[\frac{{{d}^{2}}T}{d{{r}^{2}}}\,+\,\frac{2dT}{rdr}\,=\,0\] 1. Pin fin 1-D case
    B. \[\frac{{{\partial }^{2}}T}{\partial {{x}^{2}}}\,+\,\frac{1}{\alpha }\,\frac{\partial T}{dt}\] 2. 1-D conduction in cylinder
    C. \[\frac{{{d}^{2}}T}{d{{r}^{2}}}\,+\,\frac{1}{r}\,\frac{dT}{dr}\,=\,0\] 3. 1-D conduction in sphere
    D. \[\frac{{{d}^{2}}\theta }{d{{x}^{2}}}-{{m}^{2}}\theta =0\] 4. Plane slab
    Codes:

    A) A\[\to \]2, B\[\to \]4, C\[\to \]3, D\[\to \]1

    B) A\[\to \]3, B\[\to \]1, C\[\to \]2, D\[\to \]4

    C) A\[\to \]2, B\[\to \]1, C\[\to \]3, D\[\to \]4

    D) A\[\to \]3, B\[\to \]4, C\[\to \]2, D\[\to \]1

    Correct Answer: D


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