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Chemistry · Structure of atom

हिन्दी

Which of the following sets of quantum numbers describes an electron experiencing the highest energy in a multi-electron system according to the \( (n + l) \) rule and energy hierarchy?

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

Correct answer · Option 4

\( n = 4, l = 2, m_l = -2, m_s = -1/2 \)

Explanation

Calculating \( (n + l) \): Option 4 gives \( 4 + 2 = 6 \), Option 1 gives \( 4 + 1 = 5 \), Option 2 gives \( 3 + 2 = 5 \), Option 3 gives \( 3 + 1 = 4 \). The highest \( (n + l) \) value is 6.
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