1. Tardigrade
  2. Question
  3. Chemistry
  4. The hydrogen-like species 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. Energy of the state S 1 in units of the hydrogen atom ground state energy is

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Q. The hydrogen-like species $Li ^{2+}$ 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.
Energy of the state $S _{1}$ in units of the hydrogen atom ground state energy is

JEE AdvancedJEE Advanced 2010

Solution:

$\frac{ E _{ s _{1}}}{ E _{ H (\text { ground })}}=\frac{-13.6 \times 9}{4 \times(-13.6)}=2.25$