Please refer to part (c) of Figure 1 included. Here, the triangle is isosceles, and alpha (the angle at the top of the triangular prism) is 63.6 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?
Please refer to part (c) of Figure 1 included. Here, the triangle is isosceles, and alpha (the angle at the top of the triangular prism) is 63.6 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question
Please refer to part (c) of Figure 1 included.
Here, the triangle is isosceles, and alpha (the angle at the top of the triangular prism) is 63.6 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?
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22.1 degrees
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13.6 degrees
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17.0 degrees
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6.8 degrees
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Transcribed Image Text:**Figure 1:**
This image contains three diagrams illustrating the refraction of light through different media.
**(a)** The first diagram shows a triangular prism with a base parallel input ray. The prism is made of glass with a refractive index (\(n_2\)) of 1.5, while the surrounding medium is air with a refractive index (\(n_1\)) of 1. The input ray enters the prism at an angle and bends towards the normal due to the change in medium. The angles \(\alpha\) and \(\theta\) are marked, indicating the angle of the prism and the angle of refraction, respectively.
**(b)** The second diagram depicts a rectangular glass block submerged in water. The glass has a refractive index (\(n_2\)) of 1.5, and the water has a refractive index (\(n_1\)) of 1.33. A light ray enters the water at angle \(\theta\), refracts as it enters the glass, and exits into the water again. The path of the light is shown, including the lateral displacement \(d\).
**(c)** The third diagram shows another triangular glass prism with a horizontal input ray. The glass again has a refractive index (\(n_2\)) of 1.5, with air outside. The ray refracts at the surface, changing direction. Angles similar to diagram (a), \(\alpha\) and \(\theta\), are used to represent the angle of the prism and the refraction angle, respectively.
These diagrams illustrate the principles of refraction, including the change in light direction due to varying refractive indices in different media.
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