He couldn't explain the stability of the atom.
According to the electromagnetic theory of physics ,any object which is accelerated must radiate energy (lose energy) .If the atom lose energy it should come and fall into the nucleus in a spiral path but it does not happen at all.
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Rutherford's model has the drawback that as the nucleus and electrons are held together by electrostatic forces of attraction, it would lead to the fusion of the nucleus with electrons. this does not happen in the atom . for this Rutherford gave the explanation that electrons revolve around around the nucleus in spherical path. this too is not satisfactory in path , energy is lost by the electrons and ultimately they will fall into the nucleus but atoms are stable.
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