Please refer to part (c) of Figure 1 included with this quiz. Here, the triangle is isosceles, and alpha (the angle at the top of the triangular prism) is 37.0 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?     9.5 degrees   2.9 degrees   11.4 degrees   5.7 degrees

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Please refer to part (c) of Figure 1 included with this quiz. Here, the triangle is isosceles, and alpha (the angle at the top of the triangular prism) is 37.0 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?
 
 
9.5 degrees
 
2.9 degrees
 
11.4 degrees
 
5.7 degrees
### Refraction Diagrams Explanation

**Figure (a):**  
- **Description:** The diagram shows a triangular glass prism with a refractive index \( n_2 = 1.5 \) and is surrounded by air with a refractive index \( n_1 = 1 \).
- **Elements:** 
  - The prism is oriented with its base parallel to the incoming ray.
  - An input light ray (red) enters the prism parallel to the base.
  - Upon entering the glass, the ray bends inside the prism due to refraction, changing direction by an angle \( \theta \).

**Figure (b):**  
- **Description:** The diagram depicts a horizontal slab of glass within a medium of water on both sides.
- **Elements:** 
  - The glass has a refractive index \( n_2 = 1.5 \) while the water has a refractive index \( n_1 = 1.3 \).
  - A light ray (red) approaches the water surface at an angle \( \theta \).
  - As the ray passes through the water and enters the glass, it refracts and travels through the glass at an apparent angle, indicated by a dashed line.
  - It re-emerges at the other side, refracting again as it exits into the water on the other side.
  - The slab is labeled as '10m' suggesting a specific thickness.

**Figure (c):**  
- **Description:** This diagram shows an equilateral triangular prism with a horizontal input ray.
- **Elements:** 
  - The glass has the same refractive index as before, \( n_2 = 1.5 \). The surrounding air has a refractive index of \( n_1 = 1 \).
  - The input ray (red) is horizontal as it enters the prism, bending due to refraction as it moves through the glass. 
  - The angle of refraction inside the prism is marked as \( \theta \), showing the change in direction.
  
These diagrams illustrate basic principles of refraction, showing how light changes direction when passing through different media with varying refractive indices.
Transcribed Image Text:### Refraction Diagrams Explanation **Figure (a):** - **Description:** The diagram shows a triangular glass prism with a refractive index \( n_2 = 1.5 \) and is surrounded by air with a refractive index \( n_1 = 1 \). - **Elements:** - The prism is oriented with its base parallel to the incoming ray. - An input light ray (red) enters the prism parallel to the base. - Upon entering the glass, the ray bends inside the prism due to refraction, changing direction by an angle \( \theta \). **Figure (b):** - **Description:** The diagram depicts a horizontal slab of glass within a medium of water on both sides. - **Elements:** - The glass has a refractive index \( n_2 = 1.5 \) while the water has a refractive index \( n_1 = 1.3 \). - A light ray (red) approaches the water surface at an angle \( \theta \). - As the ray passes through the water and enters the glass, it refracts and travels through the glass at an apparent angle, indicated by a dashed line. - It re-emerges at the other side, refracting again as it exits into the water on the other side. - The slab is labeled as '10m' suggesting a specific thickness. **Figure (c):** - **Description:** This diagram shows an equilateral triangular prism with a horizontal input ray. - **Elements:** - The glass has the same refractive index as before, \( n_2 = 1.5 \). The surrounding air has a refractive index of \( n_1 = 1 \). - The input ray (red) is horizontal as it enters the prism, bending due to refraction as it moves through the glass. - The angle of refraction inside the prism is marked as \( \theta \), showing the change in direction. These diagrams illustrate basic principles of refraction, showing how light changes direction when passing through different media with varying refractive indices.
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