Posted by Samantha Farha on Monday, March 24, 2008 at 11:29am.
The ground state of a hydrogen atom is 13.6 eV below the ionization threshold. If the free electron is to have 13.1 eV of kinetic energy, the total energy needed is 26.7 eV. Convert that to photon energy E in Joules using 1.6*10^-19 J per eV. Then use the Planck relationship
E = h c/L, where L is the wavelength in meters and h is Planck's constant, to solve for L.
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