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GK QUESTION#3145

In the Bohr model of a hydrogen-like atom, how does the energy gap between consecutive levels change as the principal quantum number n increases?

  1. AIt becomes smaller with each higher levelCorrect answer
  2. BIt becomes larger with each higher level
  3. CIt stays the same for all orbits
  4. DIt fluctuates irregularly
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Answer

A. It becomes smaller with each higher level

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Explanation

For a hydrogen-like atom in the Bohr model, Eₙ is proportional to −1/n². Consequently, the positive energy difference between levels n and n+1 decreases as n increases; higher levels crowd together.

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