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Question #44708
The Question
In a hypothetical universe, the spin quantum number () can take three distinct values: . All other quantum numbers () 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 and subshells is similar to our universe, meaning exchange energy stabilization is the primary driver for anomalous electronic configurations.\n\nDetermine the atomic number () of the first transition element expected to exhibit an anomalous electronic configuration, and calculate the total number of exchange pairs present in its subshell in the ground state.
Options
- A.
, Exchange pairs = 10
- B.
, Exchange pairs = 10
- C.
, Exchange pairs = 15
- D.
, Exchange pairs = 10
Check Your Answer
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 () 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
| Subject | Chemistry |
| Chapter | Structure of Atom - Class 11 Part 1 |
| Concept | Quantum Number Constraints |
| Difficulty | 8 |
| Cognitive Load | 7 |
| Target Solve Time | 160 sec |
| Access | Free |