All Problems

Scattering of Particles. Rutherford-Bohr Atom

Problem 6.34

Calculate the Rydberg constant \(R\) if \(\mathrm{He}^{+}\) ions are known to have the wavelength difference between the first (of the longest wavelength) lines of the Balmer and Lyman series equal to \(\Delta \lambda=\) \(=133.7 \mathrm{nm}\)

Reveal Answer
R=176πc15Z2Δλ=2.071016 s1R=\frac{176 \pi c}{15 Z^{2} \Delta \lambda}=2.07 \cdot 10^{16} \mathrm{~s}^{-1}