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JEE Main & Advanced Sample Paper JEE Main - Mock Test - 40

  • question_answer
    Equal temperature difference exists between the ends of two metallic rods 1 and 2 of equal length. Their thermal conductivities are \[{{K}_{1}}\] and \[{{K}_{2}}\] and cross sectional areas are respectively \[{{A}_{1}}\] and\[{{A}_{2}}\]. The condition for equal rate of heat transfer will be-

    A) \[{{K}_{1}}{{A}_{2}}={{K}_{2}}{{A}_{1}}\]

    B) \[K_{1}^{2}{{A}_{2}}=K_{2}^{2}{{A}_{1}}\]

    C) \[K{{  }_{1}}{{A}_{1}}={{K}_{2}}{{A}_{2}}\]

    D) \[{{K}_{1}}A_{1}^{2}={{K}_{2}}{{A}_{2}}\]

    Correct Answer: C

    Solution :

    [c] \[\frac{{{K}_{1}}{{A}_{1}}\Delta \theta }{l}=\frac{{{K}_{2}}{{A}_{2}}\Delta \theta }{l}\] \[\Rightarrow {{K}_{1}}{{A}_{1}}={{K}_{2}}{{A}_{2}}\]


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