Manipal Engineering Manipal Engineering Solved Paper-2011

  • question_answer
    The heat flows through a rod of length 50 cm and area of cross-section 5 \[c{{m}^{2}}\]. Its ends are respectively at 25\[^{0}C\] and 125\[^{0}C\]. The coefficient of thermal conductivity of the material rod is \[0.092\text{ }kcal/m{}^\circ C\]. The temperature gradient of the rod is

    A)  \[2{}^\circ C/cm\]          

    B)        \[2{}^\circ C/m\]

    C) \[20{}^\circ C/cm\]         

    D)        \[{{20}^{o}}C/m\]

    Correct Answer: A

    Solution :

    Temperature gradient of the rod                 \[\frac{\Delta \theta }{\Delta x}=\frac{{{\theta }_{2}}-{{\theta }_{1}}}{l}\] \[\therefore \]  \[\frac{\Delta \theta }{\Delta x}=\frac{125-25}{50}\]                 \[=\frac{100}{50}={{2}^{o}}\,\,C/cm\]


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