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A free electron is captured by a proton forming a Hydrogen atom. If the electron ends up in the ground state then what is the wavelength of the photon it emits during this process?

  • Physics 212 -

    I don't think professor clark would be happy to know you're not doing your own hw!

  • Physics -

    The energy of the photon is the binding energy of the hydrogen ground state, 13.6 eV = 2.18*10^-18 J

    Set that equal to h c/(wavelength) and solve for the wavelength. It will be in the far "vacuum" ultraviolet.

    wavelength = h c/2.18*10^-18 J

    h is Planck's constant and c is the speed of light

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