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Why Rutherford's model could not explain the stability of an atom ?

According to Rutherford atomic model, electron revolves around the positively charged nucleus. According to the electrodynamics, when any charged particles accelerated in the influence of other charged particles,then it loss the energy and emit the radiation. If it is so, the path of energy around nucleus will be spiral and electron will finally falls at the nucleus, ultimately size of atom gets collapsed. Fortunately,atom can't be destroyed. 

Therefore, it does not explain about stability of atom .