In: Physics
These are mainly problems with classical physics :
1.Black Body Radiation: Classical physics predicted that hot objects would instantly radiate away all their heat into electromagnetic waves. The calculation, which was based on Maxwell's equations and Statistical Mechanics, showed that the radiation rate went to infinity as the Electromagnetic wavelength went to zero. Plank solved the problem by postulating that Electromagnetic energy was emitted in quanta with E=hf.
2.The Photoelectric Effect: When light was used to knock electrons out of solids, at that time the results were completely different than expected from Maxwell's equations. The measurements were easy to explain if light is made up of particles with the energies Plank postulated.
3.Compton Scattering: When light was scattered off electrons, it behaved just like a particle but changes wave length in the scattering; more evidence for the particle nature of light and Plank's postulate.
Thses are some of the major reasons thats why we cant use classical physics in all things,thses problems lead to the development of Quantum Mechanics.
Hope this helps you to understand.