Why Is There an Upper Limit to Photon Energy in Hydrogen's Emission Spectrum?

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SUMMARY

The upper limit to photon energy in hydrogen's emission spectrum is determined by the energy difference between the most energetic bound state (0 eV) and the ground state energy, approximately -10 eV. The ionization energy of hydrogen is 13.6 eV, which corresponds to the energy required for an electron to escape from the atom. When a hydrogen ion (H+) captures an electron, the emitted light corresponds to this transition to the ground state.

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why is there an upper limit to the photon energy that can be observed in the emission spectrum of the hydrogen atom?
 
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Because it corresponds to the difference of energy of the most energetic bound state of H, which is 0, and the ground state energy, which is a certain negative amount that I don't remember, something like 10 eV.
 
The ionization energy is 13.6 eV. Which corresponds to the light emitted by a H+ ion that absorbs an electron which drops immediately to ground state.
 

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