Manipal Engineering Manipal Engineering Solved Paper-2014

  • question_answer
    Two rods (one semi-circular and other straight) of same material and of same cross-sectional area are joined as shown in the figure. The points A and B are maintained at different temperature. The ratio of the heat transferred through a cross-section of a semi-circular rod to the heat transferred through a cross-section of the straight rod in a given time is

    A) \[=kf(x)f(y),\]                                   

    B) 1 : 2

    C)  \[{{\tan }^{-1}}\left( \frac{a}{x} \right)+{{\tan }^{-1}}\left( \frac{b}{x} \right)=\frac{\pi }{2},\]                    

    D)  3 : 2

    Correct Answer: A

    Solution :

    \[\lambda ,\]for both rods K,A and \[\upsilon \] are same \[3\lambda /4\]\[v{{(3/4)}^{1/2}}\] so\[v{{(4/3)}^{1/2}}\]


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