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Please refer to part (a) of Figure 1 included.   Here, alpha (the angle at the top of the triangular prism) is 42.3 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?       28.7 degrees     43.0 degrees     23.9 degrees     14.3 degrees

Please refer to part (a) of Figure 1 included.   Here, alpha (the angle at the top of the triangular prism) is 42.3 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?       28.7 degrees     43.0 degrees     23.9 degrees     14.3 degrees

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College Physics
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Please refer to part (a) of Figure 1 included.
 
Here, alpha (the angle at the top of the triangular prism) is 42.3 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?
 
   
28.7 degrees
   
43.0 degrees
   
23.9 degrees
   
14.3 degrees
## Figure 1: Refraction through Different Media ### Diagram (a) - **Medium 1 (Air):** Refractive index \( n_1 = 1 \) - **Medium 2 (Glass):** Refractive index \( n_2 = 1.5 \) - An input ray enters the glass, parallel to the base of the triangular section. - The ray refracts at the interface, changing direction at an angle \( \theta \). - \( \alpha \) denotes the angle within the glass. ### Diagram (b) - **Medium 1 (H\(_2\)O):** Refractive index \( n_1 = 1.33 \) - **Medium 2 (Glass):** Refractive index \( n_2 = 1.5 \) - The input ray enters a rectangular slab of glass from water. - The ray is refracted twice, entering and exiting the glass slab. - The incident angle at entry is \( \theta \). - The diagram shows a lateral shift \( d \) from the original path after exiting the glass. - The height of the glass slab is 10m. ### Diagram (c) - **Medium 1 (Air):** Not specified but follows from context. - **Medium 2 (Glass):** Refractive index \( n_2 = 1.5 \) - A triangular glass prism with an angle \( \alpha \). - An input ray enters the prism horizontally. - The ray undergoes refraction, changing direction upon exit at an angle \( \theta \). Each diagram illustrates the principle of refraction, showing the change in direction of a light ray as it passes between different media, governed by Snell's Law.
Transcribed Image Text:## Figure 1: Refraction through Different Media ### Diagram (a) - **Medium 1 (Air):** Refractive index \( n_1 = 1 \) - **Medium 2 (Glass):** Refractive index \( n_2 = 1.5 \) - An input ray enters the glass, parallel to the base of the triangular section. - The ray refracts at the interface, changing direction at an angle \( \theta \). - \( \alpha \) denotes the angle within the glass. ### Diagram (b) - **Medium 1 (H\(_2\)O):** Refractive index \( n_1 = 1.33 \) - **Medium 2 (Glass):** Refractive index \( n_2 = 1.5 \) - The input ray enters a rectangular slab of glass from water. - The ray is refracted twice, entering and exiting the glass slab. - The incident angle at entry is \( \theta \). - The diagram shows a lateral shift \( d \) from the original path after exiting the glass. - The height of the glass slab is 10m. ### Diagram (c) - **Medium 1 (Air):** Not specified but follows from context. - **Medium 2 (Glass):** Refractive index \( n_2 = 1.5 \) - A triangular glass prism with an angle \( \alpha \). - An input ray enters the prism horizontally. - The ray undergoes refraction, changing direction upon exit at an angle \( \theta \). Each diagram illustrates the principle of refraction, showing the change in direction of a light ray as it passes between different media, governed by Snell's Law.
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