Two rods one of length L and the other of length 2L are made of the same material and have the same diameter. The two ends of the longer diameter. The two ends of the longer rod are maintained at $$100^\circ C$$. One end of the shorter rod is maintained at $$100^\circ C$$ while the other end is insulated. Both the rods are exposed to the same environment at $$40^\circ C$$. The temperature at the insulated end of the shorter rod is measured to be $$55^\circ C$$. The temperature at the midpoint of the longer rod would be