# Absorption spectrum of hydrogen atom

In absorption spectrum of hydrogen atom, only one electron is present in its one atom which is in ground state, so it means that all electrons can only absorb energy of photon of wavelength which lies in UV region to get to a higher energy state (by calculation it can take max wavelength $$=122.55\,\mathrm{nm}$$ and minimum wavelength $$=91.9\,\mathrm{nm}$$).Then why do we see dark lines in its absorption spectrum in visible region also, how can it absorb energy which is in visible region to get to a higher energy state i.e. how can it absorb wavelength like $$656\,\mathrm{nm}$$? How can the photon of this wavelength make the electron to get to a higher energy state? Please explain it intuitively (using simple mathematics)?

It is not a correct statement as there will be some excited atoms present including those in the $$n=2$$ energy level.