Radiant energy from the sun strikes the earth with a maximum

Radiant energy from the sun strikes the earth with a maximum mean of intensity of 1.4kW/m^2 ---- a quantity called the solar constant that is sufficient to melt a layer of ice 1.6 cm thick every hour . On the assumption that sunlight is black-body radiation and that the ratio between the radius of the earth\'s orbit to the radius of the sun is 216, calculate the temprature of the sun\'s surface.

Solution

the tsurafce temperature of the sun is,

    T = [SD^2/R^2]^1/4

       = [1400*[1.49610¹¹ ]^2/[5.6710 ⁸][6.96310 ⁸ ]^2]^1/4

       = 5810.37 K