Estimate the temperature T E of the earth, assuming that it is in radiation equilibrium with the sun (assume the radius of sun 
, the earth-sun distance 
, the temperature of solar surface 
)
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Power radiated from the sun 
surface area 
Power received by the earth,
The factor 
represents the effective (projected) area of the earth on which the sun's radiation is incident at a distance 
from the sun. The factor 
is the surface area of a sphere scooped with the centre on the sun. Thus 
is the fraction of the radiation intercepted by the earth's surface area.
Now power radiated by earth,
For radiation equilibrium, power radiated by the earth=power received by the earth.
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