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Exciting an electron in a hydrogen atom.

  1. Oct 13, 2009 #1
    1. The problem statement, all variables and given/known data
    A hydrogen atom in its ground state is illuminated with light having a wavelength of 96.7 nm. can the hydrogen atom's electron be excited to a higher energy state by absorbing one of these photons? If so, determine the state and wavelength of any photon that would be emitted by the atom.


    2. Relevant equations
    E=hc/lambda
    En=-13.6eV/n^2

    3. The attempt at a solution
    E=hc/lambda
    =[(6.626x10^-34)(3.0x10^8)/9.67x10-8]
    =2.0556x10^18 J

    Convert to / by 1.602x10^-19 eV = 12.83eV

    En=-13.6eV/1^2 = -13.6eV

    So I think that the photon energy would have to exceed 13.6eV to excite the electron, so in this case it would not excite it. Is this right?
     
  2. jcsd
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