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Structural Models of the Atom

  1. Aug 13, 2009 #1
    1. The problem statement, all variables and given/known data
    According to classical physics, a charge e moving with an acceleration a radiates at a rate
    dE/dt = - (e2a2)/(6pi epsilon c3)

    a) Show that an electron in a classical hydrogen atom spirals into the nucleus at a rate
    dr/dt = - e4/ (12pi^2 epsilon^2 r^2 me^2c3)

    b) Find the time interval over which the electron will reach r = 0, starting from ro = 2.00 X 10-10 m.


    2. Relevant equations
    None


    3. The attempt at a solution
    We are not sure how to relate energy with radius.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Aug 13, 2009 #2
    From a purely classical standpoint you can ask:

    -what is energy of a ground state electron in a hydrogen atom?

    -what is the starting radius of the electron in a hydrogen atom?

    -we assume, it is moving in a circle, so what is the formula for its kinetic energy?

    You should be able to answer these questions and then use conservation of energy to put together a formula for the energy as a function of radius.

    From there you can solve the problem.

    Hope this helps!
     
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