Whaaa Calculating the temperature of the suns surface

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SUMMARY

The discussion focuses on calculating the temperature of the sun's surface using the solar spectrum and Wien's Displacement Law. The user has determined the photon energy of common photons at 1.15 eV and is working with the formula (hf^3)/((e^(hf/Kb T))-1) to analyze the solar spectrum. The steps outlined include differentiating the formula, calculating the frequency of the most common photons, and solving for zero points using a graphic calculator. The user is seeking assistance with correctly differentiating the formula to find these critical points.

PREREQUISITES
  • Understanding of photon energy and its relation to frequency
  • Familiarity with Wien's Displacement Law
  • Knowledge of calculus, specifically differentiation
  • Experience with graphic calculators for solving equations
NEXT STEPS
  • Study the differentiation of the Planck's law formula
  • Learn how to apply Wien's Displacement Law in practical scenarios
  • Explore advanced techniques for solving equations using graphic calculators
  • Investigate the relationship between photon energy and temperature in astrophysics
USEFUL FOR

Astronomy students, physicists, and anyone interested in solar physics and temperature calculations based on spectral analysis.

Lisa...
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Hi you all!

I'm having difficulties with estimating the temperature of the surface of the sun from a given solar spectrum. I've already determined the photon energy of the most common photons (1.15 eV). I also know that the curve of the solar spectrum (photon energy on the x-axis and intensity on the y-axis) is described with (hf^3)/((e^(hf/Kb T))-1) where the frequency f corresponding to 1 eV energy is 2.417970 x 10^14 Hz.

Now the way to retrieve the correct answer is the following:
1) Differentiate the formula.
2) Calculate the frequency of the most common photons and fill that in the formula.
3) Solve the equation where the differentiated formula (with f filled in) is set zero. (This may be done with a graphic calculator)

The only problem is that I don't seem to differentiate the formula correctly, because my calculator just can't find the points where it's zero. Could someone pleaaaaaaaaaaaaaaaaase help me to differentiate it the right way?o:)
 
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