Define Planck's Law

Описание: Planck's Law states:

"The spectral radiance of a black body at a given wavelength is proportional to the energy emitted per unit area, per unit solid angle, per unit wavelength at a specific temperature."

Where:

B(λ,T) = Spectral radiance (W/m²·sr·m)

h = Planck's constant (6.626×10 ^−34 J·s)

c = Speed of light (3×10^8m/s)

λ = Wavelength of emitted radiation (m)

k B = Boltzmann's constant (1.381×10^−23 J/K)

T = Absolute temperature of the black body (K)

⏩ Explanation:

Planck's Law describes the intensity of radiation emitted by a black body as a function of wavelength and temperature.
It resolves the ultraviolet catastrophe, which classical physics failed to explain.

⏩ Key Insights:

The law predicts that shorter wavelengths (higher frequencies) become more intense as temperature increases.
It integrates to give Stefan-Boltzmann's Law and explains Wien's Displacement Law.

⏩ Applications:

Explaining the radiation spectrum of stars and other celestial bodies.
Designing thermal imaging and radiation detectors.
Foundational to quantum mechanics and modern physics.