Question

The hydrogen-like species $L{i}^{2+}$ 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.
Energy of the state $S_1$ in units of the hydrogen atom ground state energy is

• A. 0.75
• B. 1.50
• C. 2.25
• D. 4.50

Answer 1

Answer: (C)

$\frac{E_{s_1}}{E_{H(\text{ ground })}}=\frac{-13.6\times 9}{4\times (-13.6)}=2.25$