Three rods of same dimensions have thermal conductivities 3K, 2K and K. They are arranged as shown, with their ends at 100°C, 50°C and 0°C. The temperature of their junction is 50°C 2K 10000_3K 0°C 1 75°C 75°C

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The amount of heat transmitted from one end to other end is ( Q=frac{K A Tleft(t_{1}-t_{2}right)}{d} ) Where ( T ) is the time, ( t_{1}-t_{2}= ) temp. difference At the junction [ begin{array}{l} Q=Q_{1}+Q_{2} Rightarrow frac{3 K(A)(100-t) T}{d} Rightarrow frac{2 K(A)(t-50) T}{d}+frac{K A(t-0) T}{d} end{array} ] Where ( t ) is the temperature of junction [ Rightarrow 6 t=400 Rightarrow t=frac{200}{3}^{0} C ]

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