Question:
Which of the following set of quantum numbers represent the electron with highest energy?
Which of the following set of quantum numbers represent the electron with highest energy?
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$(n+l)$ rule: Higher sum = higher energy!
Updated On: Jun 6, 2026
- $n=3, l=0, m=0, s=+1/2$
- $n=3, l=1, m=1, s=-1/2$
- $n=3, l=2, m=1, s=+1/2$
- $n=4, l=0, m=0, s=-1/2$
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The Correct Option is C
Solution and Explanation
Step 1: Concept
$(n+l)$ rule for energy level determination.
Step 2: Meaning
Higher $(n+l)$ means higher energy; if equal, higher $n$ means higher energy.
Step 3: Analysis
(A) $3+0=3$. (B) $3+1=4$. (C) $3+2=5$. (D) $4+0=4$. The highest $(n+l)$ value is 5 (Option C).
Step 4: Conclusion
(C) has the highest energy.
Final Answer: (C)
$(n+l)$ rule for energy level determination.
Step 2: Meaning
Higher $(n+l)$ means higher energy; if equal, higher $n$ means higher energy.
Step 3: Analysis
(A) $3+0=3$. (B) $3+1=4$. (C) $3+2=5$. (D) $4+0=4$. The highest $(n+l)$ value is 5 (Option C).
Step 4: Conclusion
(C) has the highest energy.
Final Answer: (C)
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