# Three rods of identical cross-section and lengths are made of three different materials of thermal conductivity $K_{1},K_{2}\; \; and \; \; K_{3}$ respectively. They are joined together at their ends to make a long rod (See figure). One end of the long rod is maintained at $100^{o}C$ and the other at $0^{o}C$ (see figure). If the joints of the rod are at $70^{o}C$ and $20^{o}C$ in steady state and there is no loss of energy from the surface of the rod, the correct relationship between $K_{1},K_{2}\; \; and \; \; K_{3}$ is :   Option: 1   Option: 2 Option: 3   Option: 4

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