# GATE2012-34

Heat generated at a steady rate of 100 W due to resistance heating in a long wire (length = 5m, diameter = 2mm). This wire is wrapped with an insulation of thickness 1 mm that has a thermal conductivity of 0.1 W/mK. The insulated wire is exposed to air at 30$^{o}$ C. The convective heat transfer between the wire and surroundings air is characterized by a heat transfer coefficient of 10 W/m$^{2}$.K. The temperature (in $^{o}$C) at the interface between the wire and the insulation is