**Unformatted text preview: **and find the condition on y such that (c) is much larger than (a). Use c = k to simplify, where the wavenumber k = 2 / 2. An early model of the hydrogen atom had a point-like electron undergoing uniform circular motion around a fixed proton at radius r = 5 10 11 m. The problem with this model is that the electron would radiate away all of its energy due to its centripetal acceleration v 2 / r , and get sucked into the proton. (Luckily for us, this serious deficiency is fixed by quantum mechanics.) Estimate ( only to an order of magnitude ) how long it would take for the atom to collapse – that is, how long does it take the initial kinetic energy of the electron ½ m e v 2 to be radiated away? You can assume that the power radiated is constant. 3. H&L 10-1 4. H&L 11-1 5. French 8-15...

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