Failure of wave theory of light to explain photoelectric effect

Now I am going to explain to you in three steps as to why wave theory fails to explain the basic concepts defining photoelectric effect:-

• Wave theory asserts the fact that the electrons in metal surface should continuously absorb the  incident energy ,so greater the incident energy greater should be the energy absorbed by each electron .This in turn makes a bold statement that the maximum kinetic energy of the  electrons directly depends upon the intensity of incident light.This contradicts the experimentally observed fact that the maximum kinetic energy of the electrons is independent of intensity but in turn depends upon the frequency.
• According to wave theory ,a sufficiently intense beam would be able to eject electrons .So,the concept of  threshold energy would not exist .So this baseless assertion of wave theory is also rejected with our experimentally observed fact.
• In a wave picture the absorption of energy by electron takes place continuously .Since a large number of electrons absorb energy so energy absorbed per electron per unit time appears to be small .So an electron may take hours to get ejected and absorb sufficient energy .This contradicts the experimentally observed fact that emission of electrons is instantaneous(please refer to my previous posts on photoelectric effect to understand the experimentally observed fact).