Derive an expression for Planck’s law of black body radiation. Use this law to obtain Wien’s displacement law and Stefan’s law.

Planck's law of black body radiation is a fundamental result in the field of thermodynamics and statistical mechanics. Max Planck derived this law in 1900 to explain the spectral distribution of electromagnetic radiation emitted by a black body at thermal equilibrium.

Planck's law is given by the expression:

\[ B(\lambda, T) = \frac{8 \pi hc}{\lambda^5} \frac{1}{e^{\frac{hc}{\lambda k_BT}} - 1} _________ _________ ____ _____ ____ _______ ___ ________ __________.
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