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Wave mechanics

  1. Mar 3, 2006 #1
    This is supposed to be an easy question, but I appear to be slightly lost. Can anyone give me a hint on what to do here?

    when waves of wavelength lamda are diffracted by a circular disc of diameter D the first minimum in the intensity of the scattered waves occurs at a scattering angle z given by

    [tex]sin(z) = 1.22 * lamda / D [/tex]

    First Minima occur (when scattered from Carbon and Oxygen nuclei)...


    for Oxygen (16 O) with E = 420 MeV : z= 45°

    for Oxygen (16 O) with E = 360 MeV: z= 53 °

    for Carbon (12 C) with E= 420 MeV: z = 50.5°


    USE THE ABOVE DATA TO ESTIMATE THE RADII OF THE CARBON AND OXYGEN NUCLEI!


    ______________________________________________________________________________

    NOTE: ..... that before I had do derive an expression for the momentum of the particle when it's kinetic energy is very much greater than it's rest mass energy mc^2

    using the energy momentum invariant and neglecting the m^2c^4 term I said that:

    [tex] E^2 = p^2*c^2 + m^2*c^4 [/tex]

    leads to

    [tex] p = E/c [/tex]
     
    Last edited: Mar 3, 2006
  2. jcsd
  3. Mar 4, 2006 #2
    ok...this problem really was easy. I thought there would be much more to it than it actually was ...but yeah, it's simply dumping in numbers into the formula, solving for D, where D = 2r. Oooops! :blushing:
     
  4. Mar 4, 2006 #3

    dextercioby

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    You know, people are used to finding something related to Schroedinger's equation when they see "wave mechanics"...

    Daniel.
     
  5. Mar 4, 2006 #4
    I know...that's why I was so confused. "Wave mechanics" is the heading to this problem on my sheet...I really don't see why!

    Anyways...I am very sorry about having confused you!
     
    Last edited: Mar 4, 2006
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