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Scattering of Particles. Rutherford-Bohr Atom

Problem 6.44

Find the velocity of the excited hydrogen atoms if the first line of the Lyman series is displaced by Δλ=0.20nm\Delta \lambda=0.20 \mathrm{nm} when their radiation is observed at an angle θ=45∘\theta=45^{\circ} to their motion direction.

Reveal Answer
v=3RΔλ/8πcos⁡θ=0.7⋅106 m/sv=3 R \Delta \lambda / 8 \pi \cos \theta=0.7 \cdot 10^{6} \mathrm{~m} / \mathrm{s}
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