JEE Advanced 2020 Concept Recapitulation Test 4 Paper 2

End A of a rod AB of length L=0.5m and of uniform cross-sectional area is maintained at some constant temperature. The heat conductivity of the rod is K=11.34Wm−1K−1. The other end B of this rod is radiating energy into vacuum and the wavelength with maximum energy density emitted from this end is λ0=75000A. If the emissivity of the end B,e=1, determine the temperature of the end A (in Kelvin). Assume that lateral surface is insulated. (Take Wien's constant =3×10−3mK, Stefan's constant σ=5.67×10−9W∕m2K4 )