How does Planck's theory solve the UV catastrophe. Like I get how the intensity of the light at set wavelengths is dependent on the number of quanta which have that energy but why is it that there's such a low amount of quanta/photons which have a super short wavelength thereby reducing the amount of radiation emitted by a BB at short wavelengths.
Planck's quantization of energy resolved the ultraviolet catastrophe problem because it prevented the infinite increase in energy at short wavelengths. When you quantize energy, basically it means that radiation cannot have just any energy level; it must have energies that are multiples of a fundamental quantum, which is determined by Planck's constant. As a result, at short wavelengths, the number of available energy levels (and, by extension, the number of photons with that energy) is limited. This leads to a decrease in the number of photons with very high energies at short wavelengths.
Think of stuff now like statistical mechanics, Q-physics and so on when you write about this, you can think of the transition from classical to quantum as from continuous to discrete. Think about the flaw of Rayleigh's law, the wave model of light etc. it will make much more sense how classical mechanics became unreliable for explaining blackbody emission and so on. Prior to this, the classical models were thought to be fool-proof, the whole "we almost know everything we need to know" but this kind of was the stepping stone for development of Q-physics.
This is from what i recall btw lol