According to quantum mechanics charged bodies do not emit energy continuously . Then why the atomic model of Rutherford has the defects of collapsing nucleus, continues spectrum.
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In quantum mechanics, accelerated charged particles do emit electromagnetic waves. However, in an undisturbed atom, quantum mechanics tells us that the electrons are not behaving like particles but are more like standing waves (the so called wave function). It is a difficult concept to grasp, but what we call particles are sometimes more like waves than particles, according to QM. The electrons in atoms have various wave-functions or probability distributions about the nucleus and do not "orbit" it. They are not accelerating and therefore not radiating. In Rutherford's time, these concepts had not yet been developed and people thought electrons where always particles, and in an atom they would have to be accelerating around the positive nucleus to resist from falling in.
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