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