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With increasing quantum number, the energy difference between adjacent energy levels in atoms

1. decreases
2. increases
3. remains constant
4. decreases for low \( Z \) and increases for high \( Z \)

Correct answer: decreases

Solution

In atoms, energy levels get closer together as the principal quantum number increases. For hydrogen-like systems, the energy varies as \(-1/n^2\), so the gap between neighboring levels shrinks with larger \(n\).

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