JCECE Engineering JCECE Engineering Solved Paper-2002

  • question_answer
    Two circular discs \[A\] and \[B\] with equal radii are blackened. They are heated to same temperature and are cooled under identical conditions. What inference do you draw from their cooling curves?

    A)  \[A\] and \[B\] have same specific heats

    B)  Specific heat of \[A\] is less

    C)  Specific heat of \[B\] is less

    D)   Nothing can be said

    Correct Answer: B

    Solution :

    According to Newton's law of cooling, rate of cooling is given by                 \[\left( \frac{-dT}{dt} \right)=\frac{eA\sigma }{mc}({{T}^{4}}-T_{0}^{4})\] where \[c\] is specific heat of material. or            \[\left( \frac{-dT}{dt} \right)\propto \frac{1}{c}\]\[i.e.,\]rate of cooling varies inversely as specific heat. From the graph, for \[A\] rate of cooling is larger. Therefore, specific heat of \[A\] is smaller.


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