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 \\K_{1}:K_{3}=2:3,\\K_{2}:K_{3}=2:5
 
Option: 2 \\K_{1}<K_{3}<K_{3}
Option: 3 \\K_{1}:K_{2}=5:2,\\K_{1}:K_{3}=3:5  
Option: 4 \\K_{1}<K_{2}<K_{3}

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