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The hydrogen-like species Li2+ 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.
The orbital S2 and the energy of the state S1 in units of the hydrogen atom ground state energy respectively are;
  • a)
    2p, 0.75 E1
  • b)
    3p, 1.50 E1
  • c)
    3p, 2.25 E1
  • d)
    2p, 4.50 E1
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The hydrogen-like species Li2+ is in a spherically symmetric state S1...
The spherically symmetric state S1 of Li2+ has one radial node 2s. Upon absorbing light, the ion gets excited to state S2, which also has one radial node.
The energy of electron in S2 is same as that of H-atom in its ground state.
, where E1 is the energy of H-atom in the ground state
But, E1 = En
Thus, n = 3
Energy state S2 of Li2+ having one radial node is 3p.
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The hydrogen-like species Li2+ is in a spherically symmetric state S1...


Given Information:

The hydrogen-like species Li2 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.

Analysis:

- The state S1 has one radial node, which means it is the 2s orbital.
- The state S2 also has one radial node and its energy is equal to the ground state energy of the hydrogen atom, which corresponds to the 1s orbital.

Solution:

- Since the state S1 is the 2s orbital, the state S2 must be the 3p orbital. This is because the 3p orbital also has one radial node.
- The energy of state S2 is equal to the ground state energy of the hydrogen atom, which is equivalent to 2.25 times the ground state energy of the Li2 ion.

Therefore, the orbital S2 and the energy of the state S1 in units of the hydrogen atom ground state energy are 3p and 2.25 E1 respectively, which corresponds to option 'C'.
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The hydrogen-like species Li2+ 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.The orbital S2 and the energy of the state S1 in units of the hydrogen atom ground state energy respectively are;a)2p, 0.75 E1b)3p, 1.50 E1c)3p, 2.25 E1d)2p, 4.50 E1Correct answer is option 'C'. Can you explain this answer?
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The hydrogen-like species Li2+ 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.The orbital S2 and the energy of the state S1 in units of the hydrogen atom ground state energy respectively are;a)2p, 0.75 E1b)3p, 1.50 E1c)3p, 2.25 E1d)2p, 4.50 E1Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The hydrogen-like species Li2+ 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.The orbital S2 and the energy of the state S1 in units of the hydrogen atom ground state energy respectively are;a)2p, 0.75 E1b)3p, 1.50 E1c)3p, 2.25 E1d)2p, 4.50 E1Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The hydrogen-like species Li2+ 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.The orbital S2 and the energy of the state S1 in units of the hydrogen atom ground state energy respectively are;a)2p, 0.75 E1b)3p, 1.50 E1c)3p, 2.25 E1d)2p, 4.50 E1Correct answer is option 'C'. Can you explain this answer?.
Solutions for The hydrogen-like species Li2+ 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.The orbital S2 and the energy of the state S1 in units of the hydrogen atom ground state energy respectively are;a)2p, 0.75 E1b)3p, 1.50 E1c)3p, 2.25 E1d)2p, 4.50 E1Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
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