Physics20795 marksNumerical: Hydrogen atom transition energySpectrum of Hydrogen
What are (a) the energy, (b) the momentum, and (c) the wavelength of the photon that is emitted when a hydrogen atom undergoes a transition from the state n = 4 to n = 2?
What are (a) the energy, (b) the momentum, and (c) the wavelength of the photon that is emitted when a hydrogen atom undergoes a transition from the state n = 4 to n = 2? [5]
- Initial state: $ni = 4$ - Final state: $nf = 2$ - Hydrogen ground-state constant: $En = -\dfrac{13.6}{n^2}$ eV - Constants: $h = 6.626\times10^{-34}$ J·s, $c = 3\times10^8$ m/s, $1\text{ eV} = 1.6\times10^{-19}$ J $$E4 = -\frac{13.6}{16} = -0.85 \text{ eV}$$ $$E2 = -\frac{13.6}{4} = -3.40 \text...