Question

IS RUTHERFORD'S ANALYSIS VALID? laws of physics that prove such dismal failures when applied to atomic stability. Might it not be that this formas An interesting question comes up at this point. When he derived his scattering formula, Rutherford used the same distant electrons ? This is not a trivial point. It is a curious coincidence that the quantum-mechanical analysis of alpha not correct and that in reality the atom does not resemble Rutherford's model of a small central nucleus surrounded particle scattering by thin foils yields precisely the same formula that Rutherford found. To verify that a classical calculation ought to be at least approximately correct, we note that the de Broglie was length of an alpha particle whose speed is 2.0 x 107m/s is d h my (6.6x10-27kg)(2.0x10m/s) m = 5.0x10-15 As we saw in Sec. 4.1, the closest an alpha particle with this wavelength ever gets to a gold nucleus is 3.0 x 10- m, which is six de Broglie wavelengths. It is therefore just reasonable to regard the alpha particle as a classical particle the interaction. We are correct in thinking of the atom in terms of Rutherford's model, though the dynamics of the Comic electrons--which is another matter-requires a non-classical approach.​

Answer 1

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