Derive Wien's law.
Understand the Problem
The question is asking for the derivation of Wien's law, which relates the temperature of a black body to the wavelength at which it emits radiation most intensely.
Answer
λ_max = b/T
The final answer is Wien's displacement law: λ_max = b/T
Answer for screen readers
The final answer is Wien's displacement law: λ_max = b/T
More Information
Wien's displacement law shows that the peak wavelength of emission of a black body is inversely proportional to its temperature. The constant 'b' is known as Wien's constant and is approximately 2.898 x 10^-3 m·K.
Tips
Common mistakes include errors in taking the derivative of Planck's law and solving the transcendental equation. Ensure careful algebraic manipulation and numerical methods for solving the equation.
Sources
- Deriving the Wien's Displacement Law from Planck's Law - chem.libretexts.org
- Planck's law and Wien's displacement law | tec-science - tec-science.com
- Wien's displacement law from the Planck distribution - YouTube - youtube.com
AI-generated content may contain errors. Please verify critical information
