If in the configuration of Young's experiment, a thin plate is placed in front of slit S1 of glass with flat parallel faces with refractive index nt and thickness t (see figure 2). Obtain the general expression for the displacement in the vertical position suffered by the maxima of interference. ### Double-Slit Experiment Diagram ExplanationThis educational resource provides a detailed explanation of the double-slit experiment, a foundational demonstration in the study of wave interference, particularly in the context of light waves.In the diagram, the setup features two narrow slits, \( S_1 \) and \( S_2 \), separated by a distance \( d \). Here's a breakdown of the components and their respective labels in the diagram:1. **Slits \( S_1 \) and \( S_2 \) (Left side)** - **\( S_1 \) and \( S_2 \)**: These are the two slits through which light passes. - **\( d \)**: The distance between the two slits.2. **Interference Pattern (Right side)** - On the far right, there is a screen where the interference pattern is observed. - **\( y_m \)**: The distance on the screen from the central maximum to the \( m \)-th order maximum. This indicates the position of a bright fringe formed due to constructive interference.3. **Path Differences** - **\( r_1 \) and \( r_2 \)**: These lines represent the paths of light traveling from each slit (\( S_1 \) and \( S_2 \)) to the screen. - The difference in distances \( r_1 \) and \( r_2 \) traveled by the light waves from each slit to a point on the screen leads to interference.4. **Object t (near/similar to the slits)** - The object labeled **\( t \)** is placed near the slits, likely used to indicate the impact or measurement of slit width or another variable factor in experiments.This diagram is a simplified representation used to illustrate the fundamental principles behind the double-slit experiment, including how the distance between slits and the path difference affect the observed interference pattern on the screen. This experiment historically demonstrates the wave nature of light and provides evidence for the concept of wave interference.

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