The hydrogen-like species Li^{2+} is in a sph | vedclass

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(B) $1.$ For $S_1$ (spherically symmetric,$\ell = 0$):$	ext{Radial node} = n - \ell - 1 = 1$ $\Rightarrow n - 0 - 1 = 1$ $\Rightarrow n = 2.$Thus,sta

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$(B, C, A)$

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(B) $1.$ For $S_1$ (spherically symmetric,$\ell = 0$):$	ext{Radial node} = n - \ell - 1 = 1$ $\Rightarrow n - 0 - 1 = 1$ $\Rightarrow n = 2.$Thus,state $S_1$ is $2s$.For $S_2$,energy $E_{S_2} = E_H(	ext{ground}) = -13.6 \ eV$.$E_{S_2} = \frac{-13.6 	imes Z^2}{n^2} = -13.6 \ eV$ $\Rightarrow \frac{3^2}{n^2} = 1$ $\Rightarrow n = 3.$Given $S_2$ has one radial node: $n - \ell - 1 = 1$ $\Rightarrow 3 - \ell - 1 = 1$ $\Rightarrow \ell = 1$.$2.$ Energy of $S_1$ $(n=2, Z=3)$: $E_{S_1} = \frac{-13.6 	imes 3^2}{2^2} = -13.6 	imes 2.25 \ eV$.In units of $E_H(	ext{ground}) = -13.6 \ eV$,the energy is $2.25$.$3.$ For $S_2$,$\ell = 1$ (as calculated above).

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