two sources are out of phase, give the phase difference between the two sources. Explain. What is the source separation, d, in terms of the wavelength λ? Explain your reasoning.

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Chapter1: Units, Trigonometry. And Vectors
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The diagram below shows all the antinodal lines (dashed) and nodal lines (solid) due to two-point sources tapping a water surface (the two dots in the middle of the circle are the two-point sources). The sources are separated by an unknown distance d. The sources lie along a horizontal line. 

Are the two sources in phase or out of phase? Explain how you can tell from the diagram. If the two sources are out of phase, give the phase difference between the two sources. Explain.

What is the source separation, d, in terms of the wavelength λ? Explain your reasoning. 

The diagram below illustrates all the antinodal lines (dashed) and nodal lines (solid) produced by two point sources creating waves on a water surface. The two dots at the center of the circular pattern represent the point sources. These sources are separated by an unknown distance \( d \). Both sources are aligned along a horizontal line.

**Diagram Explanation:**
- **Antinodal Lines (Dashed Lines):** These lines represent the areas where the wave amplitudes from both sources constructively interfere, resulting in maximum displacement.
- **Nodal Lines (Solid Lines):** These lines indicate regions where the waves from the two sources destructively interfere, canceling each other out and resulting in minimal or no displacement.
- The sources demonstrate symmetry with the pattern, with equal spacing of antinodal and nodal lines radiating outward in multiple directions from the central source line.

This setup is typical in experiments demonstrating wave interference, such as in water wave tanks, and can be used to visually explore concepts of constructive and destructive interference.
Transcribed Image Text:The diagram below illustrates all the antinodal lines (dashed) and nodal lines (solid) produced by two point sources creating waves on a water surface. The two dots at the center of the circular pattern represent the point sources. These sources are separated by an unknown distance \( d \). Both sources are aligned along a horizontal line. **Diagram Explanation:** - **Antinodal Lines (Dashed Lines):** These lines represent the areas where the wave amplitudes from both sources constructively interfere, resulting in maximum displacement. - **Nodal Lines (Solid Lines):** These lines indicate regions where the waves from the two sources destructively interfere, canceling each other out and resulting in minimal or no displacement. - The sources demonstrate symmetry with the pattern, with equal spacing of antinodal and nodal lines radiating outward in multiple directions from the central source line. This setup is typical in experiments demonstrating wave interference, such as in water wave tanks, and can be used to visually explore concepts of constructive and destructive interference.
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