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PRACTICE / Hydrogen spectrum

Use energy gaps before naming spectral lines

In the hydrogen model En = −13.6 eV/n², compare the emitted photons for transitions 4 → 2 and 3 → 2.

What is λ4→2 divided by λ3→2?

Organize the givens & assumptions
  • En = −13.6 eV/n²
  • Transitions end at n = 2
  • λ = hc/Ephoton

Isolated hydrogen, stated nonrelativistic energy-level model, photon recoil and fine structure neglected; each transition emits one photon.

  1. A34\frac34
  2. B2027\frac{20}{27}
  3. C2720\frac{27}{20}
  4. D43\frac43

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