Short Answer
n²h²/(8mL²) is the best answer.
Quantum questions reward precision with language. Identify whether the prompt is about wave behaviour, measurement, states, operators, or quantised energy levels before choosing a formula or interpretation.
Eₙ = n²π²ℏ²/(2mL²) = n²h²/(8mL²) for an infinite square well.
Why This Answer Is Correct
This is a Medium-level question in Quantum Physics. The prompt is really testing whether you can connect the concept to its defining physical relationship instead of picking a nearby-but-wrong term.
When a quantum question feels ambiguous, translating it into state, observable, probability, and evolution language usually clarifies the answer.
Choices At A Glance
- A. n²h²/(8mL²)
- B. nhf
- C. nh/(2mL)
- D. n²ℏ²/(2mL²)
When similar options appear on an exam, eliminate the ones that break the core law, use the wrong units, or confuse a definition with a consequence.
Topic Snapshot
Topic: Quantum Physics
Difficulty: Medium
Best next move: Re-state the governing law in your own words, then solve one more example from the same topic before moving on.