Gasiorowicz (3rd Edition), Chapter 01, Problem 02

Gasiorowicz, Quantum Physics, 3rd Edition

Chapter 01. The Emergence of Quantum Physics

Problem 02. Planck’s law and Wien’s displacement law

The problem asks you to
1) express Plank's law in terms of the wavelength.
2) derive Wien's law (calculate the value of wavelength for which the energy density is maximal).
3) estimate of the peak wavelength of the solar radiation.
The problem provides (assumes)
the energy density of the black body in terms of the frequency (Plank's law in terms of the frequency)
You should know about
1) how to solve the differential equation
2) how to find maximum value using differentiation
Solution
 
References
https://en.wikipedia.org/wiki/Planck%27s_law
https://en.wikipedia.org/wiki/Wien%27s_displacement_law

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