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Answer :
Final answer:
The angular momentum of an electron in a hydrogen atom and a He ion in the second excited state is determined by the orbital angular momentum quantum number. In this case, both have a quantum number of 1, so the relationship between their angular momenta cannot be determined. The correct answer is d. Relationship cannot be determined.
Explanation:
The angular momentum of an electron in a hydrogen atom and a He ion in the second excited state can be determined by the formula L=sqrt(l(l+1))ħ, where l is the orbital angular momentum quantum number.
For the hydrogen atom, the second excited state corresponds to n=2, so l can be either 0 or 1.
Therefore, l₁=1.
For the He ion, the second excited state also corresponds to n=2, so l₂ can also be either 0 or 1.
Therefore, l₂=1.
Since l₁=l₂=1, the answer is d. Relationship cannot be determined.
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