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Scattering of Particles. Rutherford-Bohr Atom

Problem 6.36

Find the wavelength of the first line of the \(\mathrm{He}^{+}\) ion spectral series whose interval between the extreme lines is \( \Delta \omega =}\) \(5.18 \cdot 10^{15} \mathrm{~s}^{-1}\)

Reveal Answer
λ=(2πc/Δω)(ZR/Δω−1)/(2ZR/Δω−1)=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}
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