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Wave Properties

Path difference and the interference conditions

  • 3 things to know
  • Component 3

Overview

Path difference and order of a maximum.

What you need to know

Answer each one before you reveal it.

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Key term

Define path difference.

Key term

State the path difference condition for constructive interference from two sources in phase.

Key term

State the path difference condition for destructive interference from two sources in phase.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define path difference.

    Model answer

    Path difference is the difference between the distances travelled from the two sources to the point where the waves meet.

  2. 2

    State the path difference condition for constructive interference from two sources in phase.

    Model answer

    The path difference must be a whole number of wavelengths, that is nλ.

  3. 3

    State the path difference condition for destructive interference from two sources in phase.

    Model answer

    The path difference must be an odd number of half wavelengths, that is (n + ½)λ.

  4. 4

    Why is the central point of a two-source pattern always a maximum?

    Model answer

    It is equidistant from the two sources, so the path difference is zero and the waves arrive in phase.

  5. 5

    Waves of wavelength 600 nm arrive at a point with a path difference of 1.8 μm. Is the interference constructive or destructive?

    Model answer

    1.8 μm divided by 600 nm is exactly 3, a whole number of wavelengths, so the interference is constructive.

  6. 6

    The same waves arrive at another point with a path difference of 1.5 μm. What is the result?

    Model answer

    1.5 μm divided by 600 nm is 2.5, an odd number of half wavelengths, so the interference is destructive.

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