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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
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B
All energy gaps decreases as n increases
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C
All energy gaps increases as n increases
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D
The energy gap changes unpredictably as n increases
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Solution

The correct option is B All energy gaps decreases as n increases
ΔE=RHZ2[1n21(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.

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