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GK QUESTION#3154

Which set of quantum numbers is allowed for an electron in a 4f orbital?

  1. An = 4, ℓ = 3, mℓ = +1, mₛ = +½Correct answer
  2. Bn = 3, ℓ = 2, mℓ = −2, mₛ = +½
  3. Cn = 4, ℓ = 4, mℓ = −4, mₛ = −½
  4. Dn = 4, ℓ = 3, mℓ = +4, mₛ = +½
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Answer

A. n = 4, ℓ = 3, mℓ = +1, mₛ = +½

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Explanation

For a 4f electron, n = 4 and ℓ = 3. The magnetic quantum number mℓ may be any integer from −3 to +3, and mₛ is +½ or −½. Only option A satisfies all these rules. The other choices have the wrong subshell or an invalid ℓ or mℓ.

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