C.3.8—Two-source interference

Syllabus
First assessment 2025
Objective
Level
HL

Model Two-Source Interference

Set up two-source interference

Two coherent sources emit waves with the same frequency and a constant phase difference. At each observation point, compare the two source-to-point distances to find the path difference.

Map bright and dark regions

For in-phase sources, path difference nλn\lambda gives constructive interference and a bright or high-amplitude region. Path difference (n+12)λ(n+\tfrac12)\lambda gives destructive interference and a dark or low-amplitude region.

Read the pattern

Points equidistant from the two sources have zero path difference and form a central constructive line. Further maxima and minima occur where the path difference changes by half-wavelength steps.

Common trap

Do not use source-to-source separation as the path difference. It is the difference between the two travel distances to the same observation point.

C.3.8 Exam Analysis

Assessment in practice

1–3 marks
How it is assessed

Questions ask for a possible wavelength from a sound minimum or ask you to explain a bright/dark screen pattern. The evidence rewards identifying the phase at arrival and applying the correct half- or whole-wavelength condition.

Command terms

What is / Explain

What earns marks

Find the two source-to-point distances and subtract them to obtain path difference. For in-phase coherent sources, use nλ for constructive interference and (n + 1/2)λ for destructive interference; explain the observed bright/dark pattern.

Watch for

Using the path length to one source instead of subtracting the two paths, or assigning a bright fringe to a half-integer path difference.

Representative question

Question 1

[Maximum number: 1]

Two loudspeakers are driven in phase and emit sound of the same frequency. A minimum intensity of sound is detected at point P.

P is 4.0 m from one loudspeaker and 4.6 m from the other.

What is a possible wavelength of the sound?

A

20 cm

B

30 cm

C

40 cm

D

60 cm