One end of a thermally insulated rod is kept at a temperature $T_1$ and the other at $T_2$ . The rod is composed of two sections of length $l_1$ and $l_2$ and thermal conductivities $K_1$ and $K_2$ respectively. The temperature at the interface of the two section is

86-190

  • [AIEEE 2007]
  • A

    $\frac{{({K_2}{l_1}{T_1} + {K_1}{l_2}{T_2})}}{{({K_2}{l_1} + {K_1}{l_2})}}$

  • B

    $\frac{{({K_1}{l_2}{T_1} + {K_2}{l_1}{T_2})}}{{({K_1}{l_2} + {K_2}{l_1})}}$

  • C

    $\frac{{({K_1}{l_1}{T_1} + {K_2}{l_2}{T_2})}}{{({K_1}{l_1} + {K_2}{l_2})}}$

  • D

    $\frac{{({K_2}{l_2}{T_1} + {K_1}{l_2}{T_2})}}{{({K_1}{l_1} + {K_2}{l_2})}}$

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  • [AIPMT 2003]