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Waves and Particle Nature of Light

Coherence, path difference and phase difference

  • 2 things to know
  • Papers 2 and 3

Overview

Recall questions on coherence and why it is needed, why two filament lamps will not interfere, and the relationship between path and phase difference.

What you need to know

Answer each one before you reveal it.

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Numbers

What is path difference, how is it related to phase difference, and why can two filament lamps not produce interference?

Numbers

What are the interference conditions expressed as phase differences, and what happens if one of two loudspeakers is turned down?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Why is it not possible to observe interference using two separate filament lamps?

    Model answer

    Each lamp emits short, independent bursts of light with randomly changing phase, so the two sources are not coherent.

  2. 2

    Why are two loudspeakers connected to the same signal generator coherent?

    Model answer

    They are driven by a single oscillating signal, so they have the same frequency and a phase relationship that does not change.

  3. 3

    What is path difference?

    Model answer

    Path difference is the difference in the distances travelled by two waves from their sources to the point where they meet.

  4. 4

    What is phase difference?

    Model answer

    Phase difference is the fraction of a cycle by which one oscillation leads or lags another, expressed as an angle in degrees or radians.

  5. 5

    How is phase difference related to path difference?

    Model answer

    Phase difference = (2π/λ) × path difference in radians, or (360°/λ) × path difference in degrees.

  6. 6

    What path difference gives constructive interference between two coherent waves?

    Model answer

    A path difference of a whole number of wavelengths, nλ, brings the waves into phase and gives constructive interference.

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