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Two identical point sources are generating waves with the same frequency and amplitude.  The two sources are in phase with each other, so the two sources generate wave crests at the same instant.  The wavelength of the waves is equal to the distance between the two sources.  See section 9.11 in the notes.

Rank the maximum amplitude taking into consideration the reduction in intensity as the points get further from the source. For example, the waves from the point sources will experience complete constructive interference at both D and C but the amplitude will be greater at D because D is closer to the sources than C and the intensity will therefore be greater.

### Interference of Waves: Point Sources Diagram

The diagram focuses on the concept of wave interference from two point sources.

**Description:**
- The grid represents a spatial map, where each square unit delineates a certain distance.
- Two circles labeled as "Point sources" are positioned on the grid horizontally at the center. These point sources are sources of waves.
- Points labeled A, B, C, and D are shown as crosses on the grid, indicating specific positions relative to the point sources.
- The distance between the two point sources and the points A, B, C, and D is marked, and the wavelength (λ) is indicated by a double-headed arrow pointing horizontally near the top-left corner of the diagram.

**Explanation:**
- The two point sources emit waves that propagate through the medium.
- At any instance, the pattern of interference results from the superposition of waves originating from these two sources.
- Constructive interference occurs where the waves meet in phase (resulting in a larger amplitude), while destructive interference happens where the waves meet out of phase (resulting in a smaller or zero amplitude).
- The specific points (A, B, C, and D) are likely referenced to analyze and discuss the resultant wave patterns at those locations.

This diagram can be useful in understanding the principles of wave interference, such as in studies related to sound waves, light waves, and other types of wave phenomena.
Transcribed Image Text:### Interference of Waves: Point Sources Diagram The diagram focuses on the concept of wave interference from two point sources. **Description:** - The grid represents a spatial map, where each square unit delineates a certain distance. - Two circles labeled as "Point sources" are positioned on the grid horizontally at the center. These point sources are sources of waves. - Points labeled A, B, C, and D are shown as crosses on the grid, indicating specific positions relative to the point sources. - The distance between the two point sources and the points A, B, C, and D is marked, and the wavelength (λ) is indicated by a double-headed arrow pointing horizontally near the top-left corner of the diagram. **Explanation:** - The two point sources emit waves that propagate through the medium. - At any instance, the pattern of interference results from the superposition of waves originating from these two sources. - Constructive interference occurs where the waves meet in phase (resulting in a larger amplitude), while destructive interference happens where the waves meet out of phase (resulting in a smaller or zero amplitude). - The specific points (A, B, C, and D) are likely referenced to analyze and discuss the resultant wave patterns at those locations. This diagram can be useful in understanding the principles of wave interference, such as in studies related to sound waves, light waves, and other types of wave phenomena.
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