Estimate the solar temperature using
The Solar Temperature *
- the solar radiation intensity on the earth of 1.4 kilowatts per square meter. (
- and the solar spectrum which peaks at about 500 nm.
First we compute the power radiated per unit area on the solar surface.
We compare this to the expectation as a function of temperature.
Lets assume that
peaks at 500 nm as one of the graphs shows.
We need to transform
for distribution functions.
This peaks when
and solve the equation
I solved this iteratively starting at y=5 and got
If we take
That's agrees well.