Paragraph: The hydrogen-like species Li ²⁺ is in a spherically symmetric state S₁ with one radial node. Upon absorbing light the ion undergoes transition to a state S₂ . The state S₂ has one radial node and its energy is equal to the ground state energy of the hydrogen atom. Question: The state S₁ is

Step-by-step solution

Given : Hydrogen like species, Li ²⁺ Spherically symmetric state, S₁ s -orbital S₁ has radial node 1 2 s (No. of radial node =1=n-l-1 , so n=2 ) Species undergoes state S₂S₂ has energy equal to the ground state energy of H -atom =-13.6 eV So, -13.6=-13.6 ( 3^2 n^2 )n=3 Again radial node =1=n-1-1 or 1=3-l-1 so l=1 It suggests S₂ is 3 p