This was a limitation of Rutherford's model. He said that nucleus and electrons are held together by electrostatic force while revolving around nucleus, but this lead to confusion. According to the electromagnetic theory, an accelerating charged particle must emit radiation and lose energy. Because of this loss of energy, the electron would slow down and will not be able to withstand the attraction of the nucleus. As a result, the electron should follow a spiral path and ultimately, fall into nucleus. But, it does not happen.