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Structure of Atom question

2025 · 7 Apr · Shift 2 · Q18
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Structure of Atom question

2025 · 7 Apr · Shift 2 · Q18

JEE MainChemistryStructure of AtomMCQ+4 / −1
The extra stability of half-filled subshell is due to : (A) Symmetrical distribution of electrons (B) Smaller coulombic repulsion energy (C) The presence of electrons with the same spin in non-degenerate orbitals (D) Larger exchange energy (E) Relatively smaller shielding of electrons by one another Indentify the correct statements :
  1. A
    (B), (D) and (E) only
  2. B
    (A),(B),(D)(A),(B),(D)(A),(B),(D) and (E) only
  3. C
    (B), (C) and (D) only
  4. D
    (A),(B)(A),(B)(A),(B) and (D) only
View written solutionFree

Correct answer: B

  1. Concept: why half-filled subshells are extra stable

    Half-filled and completely filled subshells show extra stability mainly due to:

    • symmetrical distribution of electrons,
    • maximum exchange energy,
    • and relatively lower electron-electron repulsion in such arrangements.
  2. Examine each statement

    (A) Symmetrical distribution of electrons

    • In a half-filled subshell, electrons occupy all orbitals singly.
    • This gives a symmetrical arrangement, which is more stable.
    • Hence, (A) is correct.

    (B) Smaller coulombic repulsion energy

    • In a half-filled subshell, electrons remain unpaired in different orbitals before pairing occurs.
    • This reduces electron-electron repulsion compared to paired arrangements.
    • Hence, (B) is correct.

    (C) The presence of electrons with the same spin in non-degenerate orbitals

    • Exchange energy arises when electrons with parallel spin are present in degenerate orbitals, not non-degenerate orbitals.
    • Since the statement says non-degenerate orbitals, it is incorrect.
    • Hence, (C) is incorrect.

    (D) Larger exchange energy

    • A half-filled subshell has the maximum number of possible exchanges among electrons with parallel spins.
    • Greater exchange energy leads to greater stability.
    • Hence, (D) is correct.

    (E) Relatively smaller shielding of electrons by one another

    • In standard explanation for extra stability of half-filled subshells, this is also considered a contributing factor.
    • Hence, (E) is correct.
  3. Collect correct statements

    Correct statements are: (A),(B),(D),(E)(A), (B), (D), (E)(A),(B),(D),(E)

  4. Match with the given options

    This corresponds to Option B.

  5. Comparison with stored answer

    Stored correct answer: B

    Our derived answer: B

    So, the answers agree.

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