A hydrogen atom in an excited state emits a photon of energy when it returns to a…

PHYSICS · Multi-part · A Level · Physics · Particles and radiation · Particles and radiation

Problem

A hydrogen atom in an excited state emits a photon of energy 3.40 eV3.40\,\text{eV} when it returns to a lower state. Use h=6.63×10−34 J sh = 6.63\times10^{-34}\,\text{J\,s}, c=3.00×108 m s−1c = 3.00\times10^{8}\,\text{m\,s}^{-1} and 1 eV=1.60×10−19 J1\,\text{eV} = 1.60\times10^{-19}\,\text{J}. (i) Calculate the wavelength of the emitted photon in nanometres. (ii) Determine the linear momentum of this photon. (iii) Identify the initial and final principal quantum numbers involved in the transition and name the spectral series to which this line belongs.

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