Young's interference experimentis based on :-

i) Spherical waves are spread out from source of light.
ii) According to Huygens' principle, each point on the wavefronts is a centre of secondary wavelets.
iii) The two sources must emit continuous waves of the same wavelength and time period.

Whereas, according to Einstein's theory of photoelectricity, light is postulated to be a photon, i.e. of particle nature.

Thus on the basis of Einstein's theory of photoelectricity, in which light is postulated to be a photon, the Young's interference experiment can not be explained.

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By :-   Dr. A. W. Pangantiwar