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WBJEEParagraph:The hydrogen-like species \(\mathrm{Li}^{2+}\) is in a spherically symmetric state \(S_1\) with one...
Paragraph:
The hydrogen-like species \(\mathrm{Li}^{2+}\) is in a spherically symmetric state \(S_1\) with one radial node. Upon absorbing light the ion undergoes transition to a state \(S_2\). The state \(S_2\) has one radial node and its energy is equal to the ground state energy of the hydrogen atom.Question:
Energy of the state \(S_1\) in units of the hydrogen atom ground state energy is
The hydrogen-like species \(\mathrm{Li}^{2+}\) is in a spherically symmetric state \(S_1\) with one radial node. Upon absorbing light the ion undergoes transition to a state \(S_2\). The state \(S_2\) has one radial node and its energy is equal to the ground state energy of the hydrogen atom.Question:
Energy of the state \(S_1\) in units of the hydrogen atom ground state energy is
Solution:
Energy of state, \(S_1=-13.6\left(\frac{3^2}{2^2}\right) \mathrm{eV} /\) atom \(=\frac{9}{4}\) of energy of \(\mathrm{H}\)-atom in ground state \(=2.25\) of energy of \(\mathrm{H}\)-atom in ground state
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