The ultraviolet catastrophe in the classical (Rayleigh Jeans) theory of cavity radiation is attributed to the assumption that

1
the standing waves of all allowed frequencies in the cavity have the same average energy
2
the density of the standing waves in the cavity is independent of the shape and size of the cavity
3
the allowed frequencies of the standing waves inside the cavity have no upper limit
4
the number of allowed frequencies for the standing waves in a frequency range v to (v + dv) is proportional to v2

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