Derive Planck’s law of radiation and hence obtain Rayleigh-Jeans law and Wien’s law.

Planck’s law of radiation can be derived using the principles of statistical mechanics. It describes the spectral distribution of radiation emitted by a black body in thermal equilibrium at a given temperature. The derivation begins with the consideration of a cavity filled with electromagnetic radiation in equilibrium.

1. Assumptions:
   - The radiation inside the cavity behaves as a collection of harmonic oscillators.
   - The oscillators can only occupy discrete energy levels due to quantization of energy.
   - The system is in thermal equilibrium, with the radiation and the walls of the cavity at temperature T.

2. Energy of a Single Oscillator:
   The energy of a single harmonic oscillator is given by the Planck distribution:
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