Reevaluating the Bohr Model of the Atom and Its Radiation Emission

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AStaunton
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I think a problem with the bohr model of the atom was that if the electron was in orbit around the nucleus, it would keep emitting radiation of longer and longer wavelengths until it falls into nucleus.
Why does an electron in orbit necessarily have to emit radiation?
 
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An electron in orbit is accelerating. And accelerating charges radiate EM waves.