I was studying the Rutherford Model of Atomic Nucleus. One of its drawbacks was it ignored the fact that electrons in circular motion are constantly radiating energy and will eventually collide with the nucleus in a spiral path. A question came to my mind, Can we derive an expression for the time taken by the electron to collide into the nucleus or it can't be measured?
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https://www.damtp.cam.ac.uk/user/tong/em/el5.pdf
Page 133 gives an estimate based on dipole radiation.
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