JIPMER Jipmer Medical Solved Paper-2010

  • question_answer
    Consider a compound slab consisting of two different materials having equal lengths, thicknesses and thermal conductivities K and 2K respectively. The equivalent thermal conductivity of the slab is

    A)  \[\sqrt{2}K\]     

    B)                         \[3K\]                  

    C)  \[\frac{4}{3}K\]               

    D)         \[\frac{2}{3}K\]

    Correct Answer: C

    Solution :

    Equivalent thermal conductivity of the compound slab, \[{{K}_{eq}}=\frac{{{l}_{1}}+{{l}_{2}}}{\frac{{{l}_{1}}}{{{K}_{1}}}+\frac{{{l}_{2}}}{{{K}_{2}}}}=\frac{l+l}{\frac{l}{K}+\frac{l}{2K}}\]        \[=\frac{2l}{\frac{3l}{2K}}=\frac{4}{3}K\]


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