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ticqueney of motion) called Bohr's correspondence principle. 2. According to classical electrodynamics, an electron having acceleration w looses its energy with the rate 2e2 w2

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ticqueney of motion) called Bohr's correspondence principle. 2. According to classical electrodynamics, an electron having acceleration w looses its energy with the rate 2e2 w2 E = - 3c3 (1) by radiating electromagnetic waves. Here the dot is a shorthand for derivative with respect to time. Assuming applicability of classical physics, compute how long will it take for the electron orbiting a proton in the Hydrogen atom to fall onto the nucleus. Assume that the initial radius of the orbit is r(t = 0) = ag, Bohr's radius, that the electron motion is non-relativistic, and that despite the fall, electron's acceleration is approximately the same as that of a particle uniformly rotating in an orbit of instantaneous radius r. Please give both symbolic and numerical answers

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