Syllabus Edition

First teaching 2020

Last exams 2024

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Wave-Particle Duality (CIE A Level Physics)

Exam Questions

23 mins3 questions
1a
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2 marks

State the formula for the de Broglie wavelength λ of a moving particle. 

State the meaning of any other symbol used. 

 
1b
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3 marks

Electrons accelerate through a potential difference, pass through a thin crystal and are then incident on a fluorescent screen.

  The pattern in Fig. 1.1 is observed on the fluorescent screen.

22-2-1b-m-electron-diffraction-sq-cie-a-level
Fig. 1.1 not to scale
 
(i)
State the name of the phenomenon shown by the electrons at the crystal.
[1]
 
(ii)
State what this phenomenon shows about the nature of electrons.
[1]
(iii)
Suggest why the thin crystal causes the phenomenon in (b)(i).
[1]
1c
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2 marks

The potential difference used to accelerate the electron is changed.

The new pattern observed on the screen is shown in Fig. 1.2.

22-2-1c-m-electron-diffraction-change-sq-cie-a-level
Fig 1.2
 
State and explain the change that has been made to the potential difference to create the pattern shown in Fig. 1.2.
 

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2a
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2 marks

State one piece of experimental evidence for: 

(i)
the wave nature of matter
[1] 
(ii)
the particulate nature of electromagnetic radiation.
[1]
2b
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3 marks

Calculate the de Broglie wavelength λ of an alpha-particle moving at a speed of 5.9 × 107 m s−1.

 
λ = ............................................ m 
2c
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2 marks

The speed of the alpha-particles in (b)(i) is gradually reduced to zero.  

On Fig. 1.1, sketch the variation with of λ.

 
22-2-2c-m-lambda-v-graph-axis-sq-cie-a-level
Fig 1.1

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3a
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1 mark

Explain what is meant by the de Broglie wavelength.

3b
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3 marks

A gamma-ray photon of energy 2.6 × 10−18 J is incident on an isolated stationary electron, as illustrated in Fig. 1.1.

 22-2-3b-m-electron-deflection-sq-cie-a-level
Fig. 1.1
 
The photon is deflected elastically by the electron through angle θ. The deflected photon has a wavelength of 590 nm.
 
(i)
On Fig. 1.1, draw an arrow to indicate a possible initial direction of motion of the electron after the photon has been deflected
[1]
 
(ii)
Calculate the energy of the deflected photon.
 
photon energy = ........................................ J [2]
3c
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3 marks

Calculate the speed of the electron after the photon has been deflected.

 
speed = ........................................... m s−1
3d
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2 marks

Explain why the magnitude of the final momentum of the electron is not equal to the change in magnitude of the momentum of the photon.

 

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