Question:
How does the energy difference between the consecutive energy level vary as the quantum number n increases?
How does the energy difference between the consecutive energy level vary as the quantum number n increases?
Show Hint
Energy levels get closer as $n$ increases.
Updated On: Apr 16, 2026
- Increases
- Decreases
- Remains unchanged
- First increases and then decreases
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Step 1: Energy of hydrogen atom: $Eₙ = -\frac13.6n²$ eV.
Step 2: Difference $Δ E = Eₙ+1 - Eₙ = 13.6\left(\frac1n² - \frac1(n+1)²\right)$.
Step 3: As $n$ increases, $Δ E$ decreases.
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