Let the Earth atmosphere be regarded as a thin layer with an absorptivity of (alpha(s)) for solar radiation and (alpha(L)) for terrestrial radiation. Let A be the Earth’s planetary albedo in shortwave and F(solar) be solar constant. Assume that the Earth’s surface radiates as a blackbody at all wavelengths and system is in radiative balance Show the surface emitted radiative flux as (2-(alpha(s))/2-(alpha(L))x(1-A/4)xF(solar)

Let the Earth atmosphere be regarded as a thin layer with an absorptivity of (alpha(s)) for solar radiation and (alpha(L)) for terrestrial radiation. Let A be the Earth’s planetary albedo in
shortwave and F(solar) be solar constant. Assume that the Earth’s surface radiates as a blackbody at all wavelengths and system is in radiative balance Show the surface emitted radiative flux as (2-(alpha(s))/2-(alpha(L))x(1-A/4)xF(solar)