Question:
Consider two coherent point sources \( S_1 \) and \( S_2 \) separated by a small distance along a vertical line and two screens \( P_1 \) and \( P_2 \) placed as shown in the figure. Which one of the choices represents the shapes of the interference fringes at the central regions on the screens?
Consider two coherent point sources \( S_1 \) and \( S_2 \) separated by a small distance along a vertical line and two screens \( P_1 \) and \( P_2 \) placed as shown in the figure. Which one of the choices represents the shapes of the interference fringes at the central regions on the screens?
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For two point sources, the interference pattern on a screen depends on the relative positions of the sources and the screen. Circular patterns are observed when the sources are symmetrically placed.
Updated On: Dec 16, 2025
- Circular on \( P_1 \) and straight lines on \( P_2 \).
- Circular on \( P_1 \) and circular on \( P_2 \).
- Straight lines on \( P_1 \) and straight lines on \( P_2 \).
- Straight lines on \( P_1 \) and circular on \( P_2 \).
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the interference pattern.
When two coherent point sources are placed in close proximity, the interference pattern observed on the screen depends on the geometry of the setup. The interference fringes on the screen \( P_1 \) will be circular due to the circular symmetry of the sources, while the pattern on \( P_2 \) will form straight lines due to the linear arrangement of the sources.
Step 2: Conclusion.
Thus, the correct answer is option (A).
When two coherent point sources are placed in close proximity, the interference pattern observed on the screen depends on the geometry of the setup. The interference fringes on the screen \( P_1 \) will be circular due to the circular symmetry of the sources, while the pattern on \( P_2 \) will form straight lines due to the linear arrangement of the sources.
Step 2: Conclusion.
Thus, the correct answer is option (A).
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