The hydrogen -like species `Li^(2+)` is in a spherically sysmmetric state `S_(1)` with one node ,Upon ansorbing 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 Energy of the state `S_(1)` in units of the hydrogen atom ground state enegy isA. 0.75B. 1.5C. 2.25D. 4.5

The hydrogen -like species `Li^(2+)` is in a spherically sysmmetric st

1.	The hydrogen -like species `Li^(2+)` is in a spherically sysmmetric state `S_(1)` with one node ,Upon ansorbing 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 Energy of the state `S_(1)` in units of the hydrogen atom ground state enegy isA. 0.75B. 1.5C. 2.25D. 4.5
Answer» Correct Answer - C `E_(n) = (-13.6)/(n^(2))Z^(2)` For ground state of H atom `E_(H) = (-13.6)/(1^(2)) xx 1^(2)` For `2s` of `Li^(2+)` `E_(Li^(2+)) = (-13.6)/(2^(2)) xx 3^(2)` `E_(Li^(2+))/(E_(H)) = ((-13.6)/(4) xx 9)/(-13.6) = 2.29` or `E_(Li^(2+)) = 2.25E_(H)`

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