Three rods of same dimensions have thermal conductivities $3K, 2K$ and $K$. They are arranged as shown with their ends at $100^{\circ}C, 50^{\circ}C$ and $0^{\circ}C$. The temperature of the junction is

  • A
    $75^{\circ}C$
  • B
    $\frac{200}{3}^{\circ}C$
  • C
    $40^{\circ}C$
  • D
    $\frac{100}{3}^{\circ}C$

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The coefficient of thermal conductivity of copper is $9$ times that of steel. In the composite cylindrical bar shown in the figure,what will be the temperature at the junction of copper and steel (in $^{\circ} C$)?

Three rods of the same dimensions have thermal conductivities $3K, 2K$,and $K$. They are arranged as shown in the figure. The temperature of the junction in the steady state is:

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