IB Physics HL E 1 10 Hl Bohr Hydrogen Levels Questions

Apply HL Bohr-model energy levels to hydrogen-like atoms, transitions and emitted wavelengths, identifying the model’s quantized features.

Syllabus
First assessment 2025
Course
Physics HL
Level
HL

Exam points

  • use E_n=-13.6/n^2 eV for hydrogen energy levels and identify quantized energy, orbital radius and angular momentum features
  • calculate energy differences and compare emitted wavelengths for transitions between Bohr levels
  • select the hydrogen-like species or equation described by the Bohr model and distinguish it from radioactive-decay relationships

IB Physics HL E 1 10 Hl Bohr Hydrogen Levels Questions question 1

[Maximum number: 1]

This question is in two parts.

The energies of the principal energy levels in atomic hydrogen measured in eV are given by the expression

En=13.6n2 where n=1,2,3E_{n}=-\frac{13.6}{n^{2}} \text { where } n=1,2,3

The visible lines in the spectrum correspond to electron transitions that end at n=2.

Calculate the energy of the level corresponding to n=2.

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