Consider the spectral series of hydrogen that converges to the ground state of the atom.

CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

Consider the spectral series of hydrogen that converges to the ground state of the atom. (i) Calculate the shortest wavelength (series limit) for this series. (ii) Determine the energy of a photon having this wavelength. (iii) Show that this energy is equal to the ionisation energy of the hydrogen atom. (Given: RH=1.097×107 m−1R_{H}=1.097\times10^{7}\,\text{m}^{-1}, h=6.63×10−34 J sh=6.63\times10^{-34}\,\text{J\,s}, c=3.00×108 m s−1c=3.00\times10^{8}\,\text{m\,s}^{-1}, 1 eV=1.60×10−19 J1\,\text{eV}=1.60\times10^{-19}\,\text{J})

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