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9. Diagrams 9.1 and 9.2 show interference patterns using coherent sources of waves, λ.
Diagram 9.1 diagram 9.2
a (i) What is meant by coherent waves ? [1mark]
ii) Compare Diagrams 9.1 and 9.2.
Relate λ and x to make a deduction regarding the relationship of both quantities. [5 marks ]
b) Two loudspeakers placed 1.5 m apart are connected to an audio signal generator adjusted to a frequency 600 Hz.
When a student walks at a distance of 3.0 m in front of the loudspeakers he hears four consecutive loud and
3 soft sounds . Explain why? [ 4 marks ]
c) i) Explain why the wavefronts in the sea follow the shape of the coastline as the water becomes
shallower. [ 4 marks ]

To prevent similar damage in the future, the fishermen suggest building retaining walls and
relocating the jetty.
Make further suggestion of ways to help the fishermen solve their problems.
You should use your knowledge of reflection, refraction and diffraction of waves to explain these
suggestions, to include the following aspects. ( 6 marks)
(i) the design and structure of the retaining wall,
(ii) the location of the new jetty
(iii) the size or energy of the waves
d) Figure 9.3 shows the seashore of a fishing village. During the rainy season, waves are big. One year
the waves eroded the seashore, caused the jetty to collapse and damaged the fishermen’s boats.

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