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JEE Main & Advanced Physics Transmission of Heat Question Bank Conduction

  • question_answer
    Two metal cubes \[A\] and \[B\] of same size are arranged as shown in the figure. The extreme ends of the combination are maintained at the indicated temperatures. The arrangement is thermally insulated. The coefficients of thermal conductivity of \[A\] and \[B\] are \[300\ W/m{{\ }^{o}}C\] and \[200\ W/m{{\ }^{o}}C\], respectively. After steady state is reached, the temperature of the interface will be              [IIT 1996]

    A)            \[{{45}^{o}}C\] 

    B)            \[{{90}^{o}}C\]

    C)            \[{{30}^{o}}C\]

    D)            \[{{60}^{o}}C\]

    Correct Answer: D

    Solution :

                       Temperature of interface \[T=\frac{{{K}_{1}}{{\theta }_{1}}+{{K}_{2}}{{\theta }_{2}}}{{{K}_{1}}+{{K}_{2}}}\] \[=\frac{300\times 100+200\times 0}{300+200}=60{}^\circ C\]


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