Please refer to part (c). Here, the triangle is isosceles, and alpha (the angle at the top of the triangular prism) is 39.9 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?

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Please refer to part (c). Here, the triangle is isosceles, and alpha (the angle at the top of the triangular prism) is 39.9 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?

 
10.2 degrees
 
5.1 degrees
 
14.3 degrees
 
8.2 degrees
**Refraction in Different Geometrical Shapes**

**Figure (a): Triangular Glass Prism**

- **Media**: 
  - Air (\(n_1 = 1\))
  - Glass (\(n_2 = 1.5\))

- **Description**: 
  - An input light ray enters a triangular glass prism from air. The ray is parallel to the base of the triangle. 
  - The angle of incidence where the ray enters the glass is marked as \(\alpha\). 
  - The angle of deviation within the glass is marked as \(\theta\).

**Figure (b): Rectangular Glass Slab in Water**

- **Media**: 
  - Water (\(n_1 = 1.3\))
  - Glass (\(n_2 = 1.5\))

- **Description**: 
  - A light ray enters a rectangular glass slab submerged in water.
  - The slab has a thickness of 10 meters.
  - The incoming ray makes an angle \(\theta\) with the normal at the point of incidence. 
  - The angle after refraction is denoted as \(d\).

**Figure (c): Triangular Glass Prism**

- **Media**: 
  - Air
  - Glass (\(n_2 = 1.5\))

- **Description**: 
  - An input light ray enters horizontally into a triangular glass prism.
  - The angle at which it hits the prism is \(\alpha\).
  - After passing through the prism, the light exits making an angle \(\theta\).

These diagrams illustrate the principle of light refraction as it passes through different media and geometrical shapes, demonstrating changes in the light path and angles.
Transcribed Image Text:**Refraction in Different Geometrical Shapes** **Figure (a): Triangular Glass Prism** - **Media**: - Air (\(n_1 = 1\)) - Glass (\(n_2 = 1.5\)) - **Description**: - An input light ray enters a triangular glass prism from air. The ray is parallel to the base of the triangle. - The angle of incidence where the ray enters the glass is marked as \(\alpha\). - The angle of deviation within the glass is marked as \(\theta\). **Figure (b): Rectangular Glass Slab in Water** - **Media**: - Water (\(n_1 = 1.3\)) - Glass (\(n_2 = 1.5\)) - **Description**: - A light ray enters a rectangular glass slab submerged in water. - The slab has a thickness of 10 meters. - The incoming ray makes an angle \(\theta\) with the normal at the point of incidence. - The angle after refraction is denoted as \(d\). **Figure (c): Triangular Glass Prism** - **Media**: - Air - Glass (\(n_2 = 1.5\)) - **Description**: - An input light ray enters horizontally into a triangular glass prism. - The angle at which it hits the prism is \(\alpha\). - After passing through the prism, the light exits making an angle \(\theta\). These diagrams illustrate the principle of light refraction as it passes through different media and geometrical shapes, demonstrating changes in the light path and angles.
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