Question

How do the energy gaps between successive electron energy levels in an atom vary from low to high $n$ values?

• A. All energy gaps are the same
• B. All energy gaps decreases as $n$ increases
• C. All energy gaps increases as $n$ increases
• D. The energy gap changes unpredictably as $n$ increases

Answer 1

The correct option is B All energy gaps decreases as $n$ increases

$\Delta E=R_H{Z}^2[\frac{1}{n^2}-\frac{1}{(n+1{)}^2}]$
From the above equation, we can clearly say that energy is inversely proportional to n (energy level). So, the energy gap between two successive energy level ($n\&n+1$) for any H-like atom, decreases as $n$ increases.