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Uncertainty & Bohr model

  1. Oct 22, 2007 #1
    Why the uncertainly relation ΔxΔp>h forces us to reject the semiclassical Bohr model for the hydrogen atom?
  2. jcsd
  3. Oct 22, 2007 #2
    This is fairly easy to prove, the diameter of the atom is of the order of [tex]10^{-15}[/tex]. Therefore an electron MUST be present in the volume of the atom. So, the maximum uncertainty that can be allowed is [tex]10^{-15}m[/tex]. Plug this into the equation and what do you get for the uncertainty in velocity?

    HINT: Its greater than the speed of light, and thats just the UNCERTAINTY!

    And the equation is [tex]dx\times dp>=\frac{h}{4\pi}[/tex].
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