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Explain how path difference and phase difference contribute to the formation of maxima and minima in an interference pattern.

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Topic

Refraction, diffraction and interference

Exam-style question

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Explain how path difference and phase difference contribute to the formation of maxima and minima in an interference pattern.

Model answer

What a good answer should say

  • Maxima occur when the path difference between two waves is an integer multiple of the wavelength, resulting in constructive interference.
  • Minima occur when the path difference is a half-integer multiple of the wavelength, leading to destructive interference.
  • Phase difference corresponds to these conditions, as a phase difference of 0 or multiples of 2π leads to maxima, while a phase difference of π leads to minima.

Explanation

Why this works

This answer effectively explains the relationship between path difference and phase difference in the context of interference patterns. It highlights how these concepts determine whether waves reinforce or cancel each other, which is essential for understanding wave behavior in various applications.

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