Task: Test de Broglie's hypothesis.

Use the measurement table to compare the wavelength expected by de Broglie $\lambda_{\text {de Broglie}}=\frac{h}{\sqrt{2\cdot m_{\text e}\cdot e\cdot U_{\text b} }}$ with the wavelength $\lambda_{\text {Experiment}}=2\cdot d\cdot \sin\left(\frac{1}{2}\cdot \tan^{-1}\left(\frac{r}{L-R+\sqrt{R^2-r^2}}\right)\right)$ provided by the inner interference ring in the experiment.

Given: $m_\text e=9.1\cdot 10^{-31}\,\text{kg}$; $e=1.6\cdot 10^{-19}\,\text{C}$; $h=6.6\cdot 10^{-34}\, \text J \cdot \text s$; $d=2.13\cdot 10^{-10}\, \text m$; $L=12.7\,\text {cm}$; $R=6.35\,\text {cm}$

Bild Experiment
Voltage \(V_{\rm{a}}\) \(\lambda_{\rm{de-Broglie}}\) Radius \(r_{\rm{inner}}\) \(\lambda_{\rm{Experiment}}\)
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