2. Coherent light enters a double-slit apparatus which has been modified such that one of the slits is filled with a bit of glass with an index refraction of 1.25, as shown in the diagram. The thickness of the screen containing the double slit happens to equal the wavelength of the incident plane wave of light. The slits are separated by a distance equal to three wavelengths of the light. Of the light that reaches the glass plug, only a negligible amount is reflected. empty glass plug a. Find the phase difference of the light waves that emerge from the two slits. b. Find the angle at which the first dark fringe is deflected above the center line.

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### Double-Slit Experiment with Glass Modification

**Description:**

2. Coherent light enters a modified double-slit apparatus where one of the slits contains a glass plug with a refractive index of 1.25. The screen thickness is equivalent to the wavelength of the plane wave light. The slits are spaced three wavelengths apart, and the glass plug only causes negligible reflection.

The diagram includes:
- A series of parallel lines representing incoming wavefronts.
- Two vertical slits; one labeled "empty" and the other filled with a "glass plug."
- The distance between the slits is marked as three wavelengths (3λ).
- The slits' width is denoted by λ, and a dashed line indicates the central axis.

**Questions:**
a. Calculate the phase difference of the light waves from the two slits.
b. Determine the angle at which the first dark fringe appears above the center line.

This experimental setup explores the impact of altering one slit with a glass medium on interference patterns and phase differences.
Transcribed Image Text:### Double-Slit Experiment with Glass Modification **Description:** 2. Coherent light enters a modified double-slit apparatus where one of the slits contains a glass plug with a refractive index of 1.25. The screen thickness is equivalent to the wavelength of the plane wave light. The slits are spaced three wavelengths apart, and the glass plug only causes negligible reflection. The diagram includes: - A series of parallel lines representing incoming wavefronts. - Two vertical slits; one labeled "empty" and the other filled with a "glass plug." - The distance between the slits is marked as three wavelengths (3λ). - The slits' width is denoted by λ, and a dashed line indicates the central axis. **Questions:** a. Calculate the phase difference of the light waves from the two slits. b. Determine the angle at which the first dark fringe appears above the center line. This experimental setup explores the impact of altering one slit with a glass medium on interference patterns and phase differences.
Expert Solution
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Given that:

R.I. of glass slab, n=1.25Thickness of slit=λSeparation distance, d=3λ

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