Davisson-Germer Experiment — Prelims Questions

An electron is accelerated through a potential difference of $150\,\text{V}$. What is its de Broglie wavelength? (Given: $h = 6.626 \times 10^{-34}\,\text{J\cdot s}$, $m_e = 9.1 \times 10^{-31}\,\text{kg}$, $e = 1.6 \times 10^{-19}\,\text{C}$)

In the Davisson-Germer experiment, the observed diffraction peak for electrons accelerated at $54\,\text{V}$ occurred at a scattering angle of $50^\circ$. If the interplanar spacing of the nickel crystal is $0.091\,\text{nm}$, what is the wavelength of the electrons according to Bragg's Law for first-order diffraction? (Assume glancing angle $\theta = 90^\circ - \phi/2$)

Which of the following phenomena is NOT explained by the wave nature of electrons, as confirmed by the Davisson-Germer experiment?

If the accelerating potential difference for an electron beam is quadrupled (multiplied by 4), how does its de Broglie wavelength change?

Which of the following statements about the Davisson-Germer experiment is INCORRECT?

An alpha particle ($m_{\alpha} = 4m_p$) and a proton ($m_p$) are accelerated through the same potential difference $V$. What is the ratio of their de Broglie wavelengths, $\lambda_{\alpha} : \lambda_p$?