Estimate the temperature of the surface of' the sun from the following data :

Estimate the temperature of the surface of’ the sun from the following data :
(i) Average radius of the earth’s orbit
= 1.5 x ${{10}^{5}}$ km
(ii) Average radius of the sun
= 7.0 x ${{10}^{5}}$ km
(iii) Solar radiant power on the earth
= 1400 W${{m}^{-2}}$ at noon time Assume the sun to be a perfect black body will your estimate be greater or less than the actual surface temperature of the sun ? Example.