1.

The hydrogen -like species `Li^(2+)` is in a spherically symmetric state `S_(1)` with one 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 is to the ground state energy of the hydrogen atom. The sate `S_(1)` isA. 1 sB. 2 sC. `2 p`D. 3 s

Answer» Correct Answer - B
The state `S_(1)` in case of `Li^(2+)`ion must be 2s (It has one radial mode). It must have jumped to 3p (`S_(2)` state) which has one radial node and its energy is equal to that of ground state of H atom
`E_(H)(1 s)=-13.6 eV`
`E_(Li^(2+))(3p)=(-13.6 Z^(2))/(n^(2))=-(13.6xx(3)^(2))/((3)^(2))`
`=-13.6 eV`


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