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If we take the nuclear spin I into account, the total angular momentum is whereare the orbital and spin angular momenta of the electron. The Hamiltonian of the hydrogen atom is corrected by the additional interaction where λ > 0 is a constant. The total angular momentum quantum number F of the p-orbital state with the lowest energy is
  • a)
    0
  • b)
    1
  • c)
    1/2
  • d)
    3/2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If we take the nuclear spin I into account, the total angular momentum...
Concept:
The total angular momentum is the sum of the spin and orbital angular momenta for the electrons in an atom.

where L is the Orbital Angular Momentum, S is the Spin Angular Momentum and I is the nuclear spin.
Calculation:

For the hydrogen atom, p - the orbital electron

The lowest state is thus obtained by F = 1,
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If we take the nuclear spin I into account, the total angular momentum iswhereare the orbital and spin angular momenta of the electron. The Hamiltonian of the hydrogen atom is corrected by the additional interactionwhere λ > 0 is a constant. The total angular momentum quantum number F of the p-orbital state with the lowest energy isa)0b)1c)1/2d)3/2Correct answer is option 'B'. Can you explain this answer?
Question Description
If we take the nuclear spin I into account, the total angular momentum iswhereare the orbital and spin angular momenta of the electron. The Hamiltonian of the hydrogen atom is corrected by the additional interactionwhere λ > 0 is a constant. The total angular momentum quantum number F of the p-orbital state with the lowest energy isa)0b)1c)1/2d)3/2Correct answer is option 'B'. Can you explain this answer? for UGC NET 2024 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about If we take the nuclear spin I into account, the total angular momentum iswhereare the orbital and spin angular momenta of the electron. The Hamiltonian of the hydrogen atom is corrected by the additional interactionwhere λ > 0 is a constant. The total angular momentum quantum number F of the p-orbital state with the lowest energy isa)0b)1c)1/2d)3/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UGC NET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If we take the nuclear spin I into account, the total angular momentum iswhereare the orbital and spin angular momenta of the electron. The Hamiltonian of the hydrogen atom is corrected by the additional interactionwhere λ > 0 is a constant. The total angular momentum quantum number F of the p-orbital state with the lowest energy isa)0b)1c)1/2d)3/2Correct answer is option 'B'. Can you explain this answer?.
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