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Explain how the de Broglie wavelength relates to the resolution of electron microscopes.

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exam_style

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Topic

Wave-particle duality

Exam-style question

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Explain how the de Broglie wavelength relates to the resolution of electron microscopes.

Model answer

What a good answer should say

  • The de Broglie wavelength of electrons is inversely proportional to their momentum.
  • As the accelerating voltage increases, the electrons gain momentum, resulting in a shorter de Broglie wavelength.
  • A shorter wavelength allows for higher resolution in imaging, enabling the observation of smaller features.

Explanation

Why this works

This answer effectively connects the concept of de Broglie wavelength to the practical application of electron microscopy, showing how theoretical principles impact real-world technology. It tests the student's ability to apply quantum concepts to practical scenarios.

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