## 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: $m_\text e=9{,}1\cdot 10^{-31}\,\text{kg}$; $e=1{,}6\cdot 10^{-19}\,\text{C}$; $h=6{,}6\cdot 10^{-34}\, \text J \cdot \text s$; $d=2{,}13\cdot 10^{-10}\, \text m$; $L=12{,}7\,\text {cm}$; $R=6{,}35\,\text {cm}$

Voltage $$V_{\rm{a}}$$ $$\lambda_{\rm{de-Broglie}}$$ Radius $$r_{\rm{inner}}$$ $$\lambda_{\rm{Experiment}}$$
kV  cm 
kV  cm 
kV  cm