Edexcel A-Level Physics Atomic Line Spectra

Practise Edexcel A-Level Physics atomic line spectra and energy levels using transitions, photon energies, wavelengths and discrete levels.

Exam points

explain line spectra from electron transitions between fixed atomic energy levels
calculate emitted or absorbed photon wavelength from eV energy differences and E = hf
decide which photon energies or line frequencies are possible from energy-level diagrams

[Maximum number: 6]

The diagram shows the energy levels for an atom of hydrogen.

Figure for Question 2.3.63 - Atomic line spectra and energy levels question 1 — Edexcel A-Level Physics AS

(a)

A photon has a wavelength of $218\,\mathrm{nm}$ .

[ 6 ]

(i)

Determine the energy, in $\mathrm{eV}$ , of this photon.

[ 4 ]

Using $c=f\lambda$ , $f=3.00 imes10^8/(218 imes10^{-9})=1.38 imes10^{15}\,\mathrm{Hz}$ . Thus $E=hf=(6.63 imes10^{-34})(1.38 imes10^{15})=9.12 imes10^{-19}\,\mathrm{J}=5.70\,\mathrm{eV}.$

(ii)

Explain whether the atom of hydrogen could emit a photon with this energy.
(2)

[ 2 ]

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2.3.63 - Atomic line spectra and energy levels question 1

Question (a)

Question (i)

Question (ii)