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The hydrogen -like species Li^(2+) is in...

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
The sate `S_(1)` is

A

1s

B

2s

C

2p

D

3s

Text Solution

Verified by Experts

The correct Answer is:
B
The number of radial nodes is `n - l - 1` For `S_(1)` radial nodes `= 1` and spectrical (given) This means s orbitals
So `l = 0`
`n - l- 1= 1`
`n - 0 - 1 = 0`
`n = 2` this means `S = 2s`
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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 is

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 The orbital momentum number of teh state S_(2) is

Knowledge Check

  • 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 is

    A
    0.75
    B
    1.5
    C
    2.25
    D
    4.5

  • 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 The state S_(1) is

    A
    1s
    B
    2s
    C
    2p
    D
    3s, 4d

  • 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. The state S_(1) is

    A
    1s
    B
    2s
    C
    `2rho`
    D
    3s