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A light propagates in Material 1 with index of refraction n1 = 1.13, strikes an interface, then passes into Material 2 with an index of refraction n2 = 1.41. The angle of incidence at the interface is 27.5. Determine the angle of refraction

A light propagates in Material 1 with index of refraction n1 = 1.13, strikes an interface, then passes into Material 2 with an index of refraction n2 = 1.41. The angle of incidence at the interface is 27.5. Determine the angle of refraction

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A light propagates in Material 1 with index of refraction n1 = 1.13, strikes an interface, then passes into Material 2 with an index of refraction n2 = 1.41. The angle of incidence at the interface is 27.5. Determine the angle of refraction

The image illustrates the concept of light refraction as it passes from one material to another. Here's a detailed explanation of the diagram: **Description:** 1. **Materials:** - The diagram shows two distinct materials, labeled "Material 1" and "Material 2." - A horizontal boundary separates these two materials. 2. **Incident Ray:** - An orange arrow represents the incident ray entering the boundary from Material 1. - The angle of incidence, denoted as θ₁, is the angle between the incident ray and the normal (a dashed vertical line perpendicular to the boundary). 3. **Refracted Ray:** - After crossing the boundary, the ray continues into Material 2 as the refracted ray. - The angle of refraction, denoted as θ₂, is the angle between the refracted ray and the normal. **Explanation:** - The image deals with Snell's Law, which relates the angles of incidence and refraction to the indices of refraction of the two materials. - The change in direction at the boundary is due to different optical densities of the two materials. - Generally, if Material 2 has a higher refractive index than Material 1, the refracted ray bends towards the normal, making θ₂ smaller than θ₁. This diagram serves as an educational tool to visually understand how light behaves when transitioning between media with different refractive properties.
Transcribed Image Text:The image illustrates the concept of light refraction as it passes from one material to another. Here's a detailed explanation of the diagram: **Description:** 1. **Materials:** - The diagram shows two distinct materials, labeled "Material 1" and "Material 2." - A horizontal boundary separates these two materials. 2. **Incident Ray:** - An orange arrow represents the incident ray entering the boundary from Material 1. - The angle of incidence, denoted as θ₁, is the angle between the incident ray and the normal (a dashed vertical line perpendicular to the boundary). 3. **Refracted Ray:** - After crossing the boundary, the ray continues into Material 2 as the refracted ray. - The angle of refraction, denoted as θ₂, is the angle between the refracted ray and the normal. **Explanation:** - The image deals with Snell's Law, which relates the angles of incidence and refraction to the indices of refraction of the two materials. - The change in direction at the boundary is due to different optical densities of the two materials. - Generally, if Material 2 has a higher refractive index than Material 1, the refracted ray bends towards the normal, making θ₂ smaller than θ₁. This diagram serves as an educational tool to visually understand how light behaves when transitioning between media with different refractive properties.
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