All Problems

Scattering of Particles. Rutherford-Bohr Atom

Problem 6.36

Find the wavelength of the first line of the He+\mathrm{He}^{+} ion spectral series whose interval between the extreme lines is \( \Delta \omega =}\) 5.181015 s15.18 \cdot 10^{15} \mathrm{~s}^{-1}

Reveal Answer
λ=(2πc/Δω)(ZR/Δω1)/(2ZR/Δω1)=0.47μm\lambda=(2 \pi c / \Delta \omega)(Z \sqrt{R / \Delta \omega}-1) /(2 Z \sqrt{R / \Delta \omega}-1)=0.47 \mu \mathrm{m}