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https://texercises.com/exercise/quantenphysik-atommodelle-5/
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The following quantities appear in the problem: Energie \(E\) / Geschwindigkeit \(v\) / Frequenz \(f\) / Wellenlänge \(\lambda\) / Ordnungszahl \(Z\) /
The following formulas must be used to solve the exercise: \(E_n = -\dfrac{m_{\rm e} e^4}{8\varepsilon_0^2 h^2} \cdot \dfrac{Z^2}{n^2} \quad \) \(E=hf \quad \) \(\frac{1}{\lambda} = R_\infty Z^2 \left(\frac{1}{n_1^2} - \frac{1}{n_2^2}\right) \quad \) \(c = \lambda \cdot f \quad \)
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Exercise:
a Berechnen Sie die Wellenlänge der H_beta-Spektrallinie der Balmerserie n rightarrow m. b Welcher Lichtfrequenz entspricht die Ionisationsenergie des H-Atoms?

Solution:
% . Mai Lie. * &texta hf|E_m-E_n| rightarrow lambda fracR_infty left| fracm^ - fracn^ right|^- fracsimleft| frac^ - frac^ right|^- uuline.sinm &textb hf |E_| Rightarrow f frac|E_|h frac.sieV .eesiJ/eV.eesiJs uuline .eeesiHz * newpage
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Exercise:
a Berechnen Sie die Wellenlänge der H_beta-Spektrallinie der Balmerserie n rightarrow m. b Welcher Lichtfrequenz entspricht die Ionisationsenergie des H-Atoms?

Solution:
% . Mai Lie. * &texta hf|E_m-E_n| rightarrow lambda fracR_infty left| fracm^ - fracn^ right|^- fracsimleft| frac^ - frac^ right|^- uuline.sinm &textb hf |E_| Rightarrow f frac|E_|h frac.sieV .eesiJ/eV.eesiJs uuline .eeesiHz * newpage
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Topic
Tags
atommodelle, quantenphysik
Difficulty
(1, default)
Points
0 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Decoration
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