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An aluminium rod of length 1 m and a ste...

An aluminium rod of length 1 m and a steel rod of length 2 m both having same cross-sectional area, are soldered together end-to-end. The thermal conductivity of aluminium rod and steel rod is `200 Js^(-1)m K^(-1)` and `50 Js^(-1) m^(-1) K^(-1)` respectively. The temperatures of the free ends are maintained at 300 K and 500 K. What is the temperature of the junction?

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