JEE Main & Advanced Physics Transmission of Heat Question Bank Conduction

  • question_answer
    The ratio of thermal conductivity of two rods of different material is 5 : 4. The two rods of same area of cross-section and same thermal resistance will have the lengths in the ratio                    [MP PET 1984; BVP 2003]

    A)            4 : 5                                          

    B)            9 : 1

    C)            1 : 9                                          

    D)            5 : 4

    Correct Answer: D

    Solution :

                       Given \[{{A}_{1}}={{A}_{2}}\] and \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{5}{4}\] Q \[{{R}_{1}}={{R}_{2}}\Rightarrow \] \[\frac{{{l}_{1}}}{{{K}_{1}}A}=\frac{{{l}_{2}}}{{{K}_{2}}A}\]Þ \[\frac{{{l}_{1}}}{{{l}_{2}}}=\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{5}{4}.\]


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