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DUMET Medical DUMET Medical Solved Paper-2008

  • question_answer
    Three rods of equal length of thermal conductivity K, 2K and 3K are symmetrically joined. If temperature of ends are \[{{0}^{o}}C,\,{{50}^{o}}C\]and \[{{100}^{o}}C\]respectively, what is the temperature of the junction?

    A)  \[20{{\,}^{o}}C\]

    B)  \[\frac{100}{3}{}^{o}C\]

    C)  \[\frac{200}{3}{}^{o}C\]

    D)  None of these

    Correct Answer: C

    Solution :

     If T be the temperature of the junction, then \[\frac{3KA(100-T)}{l}+\frac{2KA(50-T)}{l}=\frac{KA\,\,(T-0)}{l}\] \[\Rightarrow \] \[300-3T+100-2T=T\] \[\Rightarrow \] \[T=\left( \frac{200}{3} \right){{\,}^{o}}C\]


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