The temperature of the surface of the sun If I calculate the temperature of the Sun by replacing t

Alisa Durham

Alisa Durham

Answered question

2022-04-12

The temperature of the surface of the sun
If I calculate the temperature of the Sun by replacing the effective frequency of the Sun (598 THz) in Planck's curve for Blackbody radiation, the result will be 10170 K. Still, in Wien's displacement law, the result will be 5778 K, is there an answer for this problem?

Answer & Explanation

verdesett014ci

verdesett014ci

Beginner2022-04-13Added 18 answers

If you use the first derivative of Planck's blackbody radiation equation to determine the wavelength or frequency at which the curve is at its maximum, you will obtain the following equation (if I didn't type it incorrectly; I did it quickly):
exp ( h c k B T λ )  [ h c k B T λ  5 ] + 5 = 0
Analytical solutions to this equation are impossible. We are able to expand the series of exp ( h c k B T λ ):
exp ( h c k B T λ )  1 + h c k B T λ 
We can approximate a problem and solve it manually by stopping at the appropriate place. Wien's displacement law is fairly similar to the solution. As a result, we experience the same temperature.

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