Three rods of identical cross-section and lengths are made of three different materials of therm....

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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 \(100^{\circ} C\) and the other at \(0^{\circ} C\) (see figure). If the joints of the rod are at \(70^{\circ} C\) and \(20^{\circ} C\) 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
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