Q 45 A cylindrical rod of length 1 thermal conductivity k

Last updated: 6/8/2023

Q 45 A cylindrical rod of length 1 thermal conductivity k and area of cross section A has one end in a furnace maintained at constant temperature The other end of the rod is exposed to surrounding The curved surface of the rod is well insulated from the surrounding The surrounding temperature is To and the furnace is maintained at T To AT The exposed end of the rod is found to be slightly warmer then the surrounding with its temperature maintained T To AT AT To The exposed surface of the rod has emissivity e Prove that AT is proportional to AT2 and find the proportionality constant 1 2 2 T Furnace Rod A Insulation T To