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 sections is

  • A
    $\frac{K_1 l_2 T_1 + K_2 l_1 T_2}{K_1 l_2 + K_2 l_1}$
  • B
    $\frac{K_2 l_1 T_1 + K_1 l_2 T_2}{K_2 l_1 + K_1 l_2}$
  • C
    $\frac{K_1 l_1 T_1 + K_2 l_2 T_2}{K_1 l_1 + K_2 l_2}$
  • D
    $\frac{K_2 l_2 T_1 + K_1 l_1 T_2}{K_1 l_1 + K_2 l_2}$

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