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Scattering of Particles. Rutherford-Bohr Atom

Problem 6.39

Find the velocity of photoelectrons liberated by electromagnetic radiation of wavelength \(\lambda=18.0 \mathrm{nm}\) from stationary \(\mathrm{He}^{+}\) ions in the ground state.

Reveal Answer
v=2(ℏω−4ℏR)/m=2.3⋅106 m/s, where ω=2πc/λv=\sqrt{2(\hbar \omega-4 \hbar R) / m}=2.3 \cdot 10^{6} \mathrm{~m} / \mathrm{s}, \text { where } \omega=2 \pi c / \lambda
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