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Chemistry · Structure of atom

हिन्दी

Which of the following sets of quantum numbers describes an electron in a \( 3d \) orbital with maximum multiplicity and positive spin?

  1. \( n = 3, l = 1, m_l = 0, m_s = +1/2 \)
  2. \( n = 3, l = 2, m_l = -2, m_s = +1/2 \)
  3. \( n = 2, l = 2, m_l = +1, m_s = +1/2 \)
  4. \( n = 3, l = 3, m_l = -3, m_s = -1/2 \)

Correct answer · Option 2

\( n = 3, l = 2, m_l = -2, m_s = +1/2 \)

Explanation

For a \( 3d \) orbital, the principal quantum number \( n = 3 \) and azimuthal quantum number \( l = 2 \). The magnetic quantum number \( m_l \) can be -2, -1, 0, +1, +2, and spin \( m_s = +1/2 \).
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