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CGP EDU Academic Team
Published on: September 12, 2026
The possible quantum number for
electron are

Text Solution
Verified by ExpertsThe correct answer is:
A
Step 1: Identify the given quantum numbers for an electron. For a 3d electron, the principal quantum number (n) is 3 and the azimuthal quantum number (l) is 2 (as d-orbitals correspond to l = 2).
Step 2: Analyze the options based on quantum number rules. The magnetic quantum number (m_l) for d-orbitals can take values of -2, -1, 0, +1, or +2.
Step 3: The electron spin quantum number (m_s) can be +1/2 or -1/2.
Step 4: From the options:
(a) n = 3, l = 2, m_l = +1, m_s = -1/2 (fits the criteria)
(b) n = 3, l = 2, m_l = +2, m_s = -1/2 (fits the criteria)
(c) n = 3, l = 1 (not valid as this does not correspond to 3d)
(d) n = 3, l = 0 (not valid as does not correspond to 3d)
Therefore, the possible valid quantum numbers that correspond to the 3d electron can be given in option (a) as valid.
Therefore, A.
Step 2: Analyze the options based on quantum number rules. The magnetic quantum number (m_l) for d-orbitals can take values of -2, -1, 0, +1, or +2.
Step 3: The electron spin quantum number (m_s) can be +1/2 or -1/2.
Step 4: From the options:
(a) n = 3, l = 2, m_l = +1, m_s = -1/2 (fits the criteria)
(b) n = 3, l = 2, m_l = +2, m_s = -1/2 (fits the criteria)
(c) n = 3, l = 1 (not valid as this does not correspond to 3d)
(d) n = 3, l = 0 (not valid as does not correspond to 3d)
Therefore, the possible valid quantum numbers that correspond to the 3d electron can be given in option (a) as valid.
Therefore, A.
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