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The correct statement(s) about 4D5/2 state of an atom is (are):

  • A.it corresponds to \(L = 2, S = 1/2\), and \(J = 5/2\).
  • B.it can originate from s\(^{1}\)p\(^{2}\) electronic configuration.
  • C.it splits into five levels in the presence of magnetic field.
  • D.it can show spectral transition to \(^{4}P_{3/2}\) state.

Answer: D

The correct statement is that it can show spectral transition to the 4P3/2 state.

In the term symbol 4D5/2, the superscript 4 = 2S + 1 gives S = 3/2, D gives L = 2, and J = 5/2. A transition to 4P3/2 has \(\Delta S = 0\), \(\Delta L = -1\) and \(\Delta J = -1\), all allowed by the selection rules.

The other statements fail. S is 3/2, not 1/2. The s1p2 configuration gives the terms 4P, 2P, 2D and 2S, with no quartet D. And a level with J = 5/2 splits into 2J + 1 = 6 levels in a magnetic field, not five. The paper allows several answers; the key gives this one only.

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