All Problems

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 \(\Delta \lambda=0.20 \mathrm{nm}\) when their radiation is observed at an angle \(\theta=45^{\circ}\) to their motion direction.

Reveal Answer
v=3RΔλ/8πcosθ=0.7106 m/sv=3 R \Delta \lambda / 8 \pi \cos \theta=0.7 \cdot 10^{6} \mathrm{~m} / \mathrm{s}