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NEET Sample Paper NEET Sample Test Paper-80

  • question_answer
    Two rods of equal length and equal cross-sectional area are kept parallel to each other with temperature difference of\[40{}^\circ C and 80{}^\circ C\]. The ratio of the effective thermal conductivity to that of first rod is \[(given\,\,\,{{k}_{1}}:{{k}_{2}}=1\,\,:\,\,2)\]

    A)  \[\frac{3}{2}\]                         

    B)  \[\frac{2}{3}\]

    C)  \[\frac{5}{2}\]                         

    D)  \[\frac{2}{5}\]

    Correct Answer: A

    Solution :

    For parallel combination of two rods of equal length and equal area of cross-section. \[k=\frac{{{k}_{1}}+{{k}_{2}}}{2}\,\,=\,\,\frac{{{k}_{1}}+2{{k}_{1}}}{2}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,k\,\,=\,\,\frac{3{{k}_{1}}}{2}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\frac{k}{{{k}_{1}}}\,\,=\,\,\frac{3}{2}\]


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