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CAIE A-Level Physics 22.4 Atomic Energy Levels and Line Spectra

Practise explaining discrete atomic energy levels, interpreting emission and absorption spectra and calculating photon energy or frequency from level differences.

Syllabus
2028–2030
Course
Physics 9702
Level
A2

Exam points

  • explain discrete electron energy levels in isolated atoms
  • interpret emission and absorption line spectra as transitions between allowed energy levels
  • calculate photon energy or frequency from the energy difference between levels

22.4 Energy levels in atoms and line spectra question 1

[Maximum number: 3]

Some of the electron energy bands in a solid are illustrated in Fig. 12.1.

Fig. 12.1

Fig. 12.1

In isolated atoms, electron energy levels have discrete values. Suggest why, in a solid, there are energy bands, rather than discrete energy levels.

22.4 Energy levels in atoms and line spectra question 2

[Maximum number: 6]

A beam of light consists of a continuous range of wavelengths from 420 nm to 740 nm . The light passes through a cloud of cool gas, as shown in Fig. 11.1.

Fig. 11.1

Fig. 11.1

Question (a)

(a)

The spectrum of the light emerging from the cloud of cool gas is viewed using a diffraction grating.
Explain why this spectrum contains a number of dark lines.

[ 4 ]

Question (b)

(b)

Some of the electron energy levels of the atoms in the cloud of gas are represented in Fig. 11.2.

Fig. 11.2 (not to scale)

Fig. 11.2 (not to scale)

[ 2 ]

Question (i)

(i)

Use data from (i) and your answer in (i) to show, on Fig. 11.2, the changes in energy levels giving rise to the dark lines in (a).

[ 2 ]

22.4 Energy levels in atoms and line spectra question 3

[Maximum number: 3]

Question (a)

(a)

Four electron energy levels in an isolated atom are shown in Fig. 12.1.

Fig. 12.1

Fig. 12.1

For the emission spectrum associated with these energy levels,

[ 3 ]

Question (i)

(i)

on Fig. 12.1, mark with an arrow the transition that gives rise to the shortest wavelength,

[ 1 ]

Question (ii)

(ii)

show that the wavelength of the transition in (i) is 4.35×107 m4.35 \times 10^{-7} \mathrm{~m}.

[ 2 ]
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