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Wave nature of electrons and de Broglie wavelengthEdexcel International A Level Physics: Flashcards

What these 12 flashcards ask

  • What do electron diffraction experiments show?
  • What is seen when electrons pass through thin graphite onto a fluorescent screen?
  • Why is the electron diffraction tube evacuated?
  • State the de Broglie equation.
  • What does h stand for in the de Broglie equation?
  • What is the effect on λ of doubling an electron's speed?
  • Why do we not see wave effects for a moving tennis ball?
  • Why is a diffraction pattern evidence for wave behaviour?
  • Why must the electron wavelength be similar to the atomic spacing?
  • How does the pattern change if electrons are accelerated more?
  • Why can an electron microscope resolve finer detail than a light microscope?
  • How do you find λ if you know an electron's kinetic energy?

Exam questions on Wave nature of electrons and de Broglie wavelength

  1. A physics technician is demonstrating an electron diffraction tube. Electrons from a heated filament are accelerated and directed at a very thin polycrystalline graphite film inside an evacuated glass tube. A fluorescent screen beyond the film shows a pattern of concentric bright rings.
    Explain why the ring pattern is evidence for the wave nature of electrons.2 marks
  2. A teacher compares the behaviour of electrons with that of larger moving objects such as a tennis ball. She uses the de Broglie equation, with Planck constant h = 6.63 × 10⁻³⁴ J s and electron mass 9.11 × 10⁻³¹ kg, and considers an electron moving at 4.0 × 10⁶ m s⁻¹ in a vacuum.
    Calculate the de Broglie wavelength of the electron moving at 4.0 × 10⁶ m s⁻¹.2 marks
  3. Electrons in a beam have a kinetic energy of 4.0 × 10⁻¹⁷ J. The beam is directed at a crystal in which the spacing between neighbouring layers of atoms is 0.21 nm. A student wants to know whether the electrons will be noticeably diffracted by the crystal.
    Calculate the speed of an electron with kinetic energy 4.0 × 10⁻¹⁷ J.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).