A hydrogen atom, and a doubly ionised lithium (Li)++ atom, are in their first excerted state and the second excited state, respectively. If lH and lLi are the respective angular momenta, and KH , KLi are the, respective, kinetic energies, of the electron, in the two atoms, we can say that
(1) \(\frac{l_H}{l_{Li}}=\frac{2}{3};\frac{K_H}{K_Li}=\frac{2}{3}\)
(2) \(\frac{l_H}{l_{Li}}=\frac{1}{2};\frac{K_H}{K_Li}=\frac{4}{1}\)
(3) \(\frac{l_H}{l_{Li}}=\frac{2}{3};\frac{K_H}{K_Li}=\frac{1}{4}\)
(4) \(\frac{l_H}{l_{Li}}=\frac{1}{2};\frac{K_H}{K_Li}=\frac{9}{4}\)