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Homework Help: Electron in a one-dimensional box emitting a photon

  1. Dec 3, 2012 #1
    1. The problem statement, all variables and given/known data

    An electron in a one-dimensional box emits a photon when it moves from energy level E4 to E2. Find the wavelength of the emitted photon.

    Length of the box L = 0.300 nm

    2. Relevant equations

    En = n2E1
    E1 = [itex]\frac{h^2}{8mL^2}[/itex]

    λ = [itex]\frac{hc}{E_i - E_f}[/itex]

    3. The attempt at a solution

    E1 = 4.18 eV
    E2 = 22 E1 = 16.7 eV
    E4 = 42 E1 = 66.9 eV

    So, λ = [itex]\frac{hc}{66.9 - 16.7}[/itex] = 24.7 nm

    Is this right?
     
  2. jcsd
  3. Dec 3, 2012 #2

    TSny

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    Homework Helper
    Gold Member
    2017 Award

    Looks good to me. Nice work.
     
  4. Dec 4, 2012 #3
    Thanks!!
     
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