One end of a rod of length L and cross-sectional area A is kept in a furnace of temperture
T1. The other end of the rod is kept at a temperature
T2. The thermal conductivity of the material of the rod is K and emissivity of the rod is e. it is given that
T2=TS+ΔT, where
ΔT<<TS,TS being the temperature of the surroundings. If
ΔT∝(T1−TS), find the proportionality constant. Consider that heat is lost only by radiation at the end where the temperature of the rod is
T2.
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