CIE A Level Physics

Topic Questions

Syllabus Edition

First teaching 2020

Last exams 2024

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22.3 Quantisation of Energy

1a
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4 marks

The energy levels of a hydrogen atom are shown in Fig. 1.1.

                                                                                  

22-3-1a-m-hydrogen-energy-levels-sq-cie-a-level

Fig. 1.1

 

Calculate the wavelength of radiation emitted when an electron falls from level n = 4 to the ground state in the hydrogen atom.

1b
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3 marks

When an electron of energy 1.84 × 10−17 J collides with a hydrogen atom, photons of six different energies are emitted.  

Sketch arrows on Fig. 1.1 to show the transitions responsible for these photons. 

1c
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3 marks

Calculate the wavelength of the photon with the smallest energy. Give your answer to an appropriate number of significant figures. 

1d
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2 marks

One way to excite a hydrogen atom is by the absorption of a photon. 

Explain why, for a particular transition, the photon must have an exact amount of energy. 

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2a
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2 marks

The lowest energy levels of a hydrogen atom are represented in Fig. 1.1. 

22-3-2a-m-energy-levels-j-sq-cie-a-level

Fig 1.1

 

Identify the transition that produces a photon with frequency of 3.3 × 1016 Hz.

2b
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3 marks

An excited hydrogen atom can emit photons of certain discrete frequencies in various regions of the electromagnetic spectrum. Three possible transitions are shown in Fig. 1.2.

 22-3-2b-m-energy-levels-j-with-transitions-sq-cie-a-level
Fig. 1.2
 
Identify the transitions in Fig. 1.2 which produce a photon in the following regions of the electromagnetic spectrum:
 
(i)
Ultraviolet
[1]
 
(ii)
Visible
[1]
 
(iii)
Infrared
[1]
2c
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3 marks

Explain why the emitted photons in part (b) have certain discrete frequencies.

2d
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3 marks

An electron in the hydrogen atom is ionised by a photon of light with frequency 5.2 × 1016 Hz. 

Calculate the kinetic energy of the ionised electron.

 

kinetic energy .................................... J 

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3a
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5 marks

Transitions between three energy levels in a particular atom give rise to three spectral lines.

In decreasing magnitudes, these are related to the wavelengths, λ1, λ2, and λ3,  

Use a diagram to show that the equation that relates λ1, λ2, and λ3 is:

 

1 over lambda subscript 1 space equals space 1 over lambda subscript 2 space plus space 1 over lambda subscript 3

 

 

3b
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6 marks

An atom has a ground state energy of −8.80 eV. The complete line emission spectra for this atom is shown in Fig. 1.1.

 22-3-3b-m-emission-spectra
Fig. 1.1
 
Sketch a diagram of the possible energy levels for the atomic line spectra shown in Fig 1.1. Label each energy level with the value of its energy.
 

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