Question
Derive the expression for the surface temperature, of sun using solar constant.
Solution
Consider the sun to be a perfectly black body of radius r at temperature T.
According to Stefan’s law, total radiant power of the sun i.e. total energy emitted by the sun in one second is,
Let R be the mean distance between the sun and the earth,
S be the mean value of solar constant.
Then total radiant power of the sun is,
From (1) and (2),
According to Stefan’s law, total radiant power of the sun i.e. total energy emitted by the sun in one second is,
Let R be the mean distance between the sun and the earth,
S be the mean value of solar constant.
Then total radiant power of the sun is,
From (1) and (2),
