what are the limition of Rutherford's model of the atom
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The major limitation of Rutherford’s model of the atom is that it does not explain the stability of the atom. As we know now, when charged bodies move in circular motion, they emit radiations. This means that the electrons revolving round the nucleus (as suggested by Rutherford) would lose energy and come closer and closer to nucleus, and a stage will come when they would finally merge into the nucleus. This makes the atom unstable, which is clearly not the case. The electrons do not fall into the nucleus, atoms are very stable and do not collapse on their own.
This atomic model failed to explain stability of atoms. According to the model, electrons revolve around the positively charged nucleus. It's not possible for a long run as we know atoms are stable while any particle in a circular orbit would undergo acceleration.