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The coherent point sources S(1) and S(2)...

The coherent point sources `S_(1)` and `S_(2)` vibrating in same phase emit light of wavelength `lambda`. The separation between the sources is `2lambda`. Consider a line passingh through `S_(2)` and perpendicular to the line `S_(1)S_(2)`. What is the smallest distance from `S_(2)` where a minimum of intensity occurs due to interference of waves from the two sources?

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To solve the problem step by step, we will analyze the situation with the two coherent point sources \( S_1 \) and \( S_2 \) and find the distance from \( S_2 \) where a minimum intensity occurs due to interference. ### Step 1: Understand the setup We have two coherent sources \( S_1 \) and \( S_2 \) separated by a distance \( d = 2\lambda \). We need to find the distance \( x \) from \( S_2 \) along a line perpendicular to the line joining \( S_1 \) and \( S_2 \) where the intensity is minimum. **Hint:** Visualize the arrangement of the sources and the point where we are measuring the intensity. ### Step 2: Path difference for interference ...
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