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Question #44708

Difficulty: 8/10 | 🟢 Free

The Question

In a hypothetical universe, the spin quantum number (msm_s) can take three distinct values: −12,0,+12-\frac{1}{2}, 0, +\frac{1}{2}. All other quantum numbers (n,l,mln, l, m_l) follow the identical rules as in our universe. The Aufbau principle, Pauli's exclusion principle, and Hund's rule of maximum multiplicity remain valid. Assume the energy difference between the 4s4s and 3d3d subshells is similar to our universe, meaning exchange energy stabilization is the primary driver for anomalous electronic configurations.\n\nDetermine the atomic number (ZZ) of the first transition element expected to exhibit an anomalous electronic configuration, and calculate the total number of exchange pairs present in its 3d3d subshell in the ground state.

Options

  • A.

    Z=34Z = 34, Exchange pairs = 10

  • B.

    Z=33Z = 33, Exchange pairs = 10

  • C.

    Z=34Z = 34, Exchange pairs = 15

  • D.

    Z=24Z = 24, Exchange pairs = 10

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Correct Answer

Step-by-Step Solution

Explanation

How the Examiner Thinks

Exception_Exposure

Learn to identify edge cases and boundary exceptions that JEE examiners hide in math problems.

Concepts Behind This Question

Quantum Number Constraints|Hund’s Rule of Maximum Multiplicity|Classification of Elements and Periodicity

Why This Question Is Tricky

Common Mistakes

This question tests the fundamental origin of Hund's Rule and anomalous configurations (like Cr and Cu).

Students often memorize 'half-filled is stable' without understanding the underlying mechanism: exchange energy maximization.

By altering the spin quantum number, rote-memorized atomic numbers (Z=24Z=24) fail.

The student must reconstruct the periodic table, recognize that 'half-filled' in the context of exchange energy means one electron per degenerate orbital with parallel spin, and correctly apply the combinatorics of exchange pairs.

Quick Facts About This Question

Question Information

SubjectChemistry
ChapterStructure of Atom - Class 11 Part 1
ConceptQuantum Number Constraints
Difficulty8
Cognitive Load7
Target Solve Time160 sec
AccessFree