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A hydrogen electron falls from n=6 to n=2, producing a visible Balmer-series photon. Calculate the photon energy in eV using the given energy-level expression, and state why the answer is positive for emission.

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MCQ

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practice

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Topic

Electromagnetic radiation and quantum phenomena

Exam-style question

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A hydrogen electron falls from n=6 to n=2, producing a visible Balmer-series photon. Calculate the photon energy in eV using the given energy-level expression, and state why the answer is positive for emission.

  1. A.10.20 eV
  2. B.12.09 eV
  3. C.13.60 eV
  4. D.2.55 eV

Model answer

What a good answer should say

  • 10.20 eV

Explanation

Why this works

The electron moves to a lower energy level, so the atom emits a photon. Substituting n_initial = 6 and n_final = 2 into the level-difference expression gives 10.20 eV for the photon energy; the emitted photon is reported as a positive energy because it is energy carried away from the atom.

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