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A light ray in glass arrives at the glass-water interface at an angle of θ = 48° with the normal. The refracted ray in water makes an angle θ = 61° with the normal, as shown in the figure. The index of refraction of water is 1.33. The angle of incidence is now changed to θ = 25°. What is the new angle of refraction φ in the water?

A light ray in glass arrives at the glass-water interface at an angle of θ = 48° with the normal. The refracted ray in water makes an angle θ = 61° with the normal, as shown in the figure. The index of refraction of water is 1.33. The angle of incidence is now changed to θ = 25°. What is the new angle of refraction φ in the water?

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
Section: Chapter Questions
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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A light ray in glass arrives at the glass-water interface at an angle of θ = 48° with the normal. The refracted ray in water makes an angle θ = 61° with the normal, as shown in the figure. The index of refraction of water is 1.33. The angle of incidence is now changed to θ = 25°. What is the new angle of refraction φ in the water?

The image illustrates the refraction of light as it passes from glass into water. It is a diagram showing the path of a light ray, which bends at the interface between the two materials. - **Mediums**: The two horizontal lines represent different mediums. The lower medium is labeled "glass," and the upper medium is labeled "water." - **Incident Ray**: The light initially travels through the glass and strikes the boundary at an angle. This incoming path is represented by an arrow pointing towards the interface, labeled with the angle \( \theta \). - **Refracted Ray**: Upon crossing into the water, the light changes direction. This new path is shown by an arrow pointing away from the boundary, labeled with the angle \( \phi \). - **Normal Line**: At the point of refraction, a dotted vertical line is drawn perpendicular to the interface, indicating the normal line, which is the reference for measuring the angles \( \theta \) and \( \phi \). The diagram exemplifies Snell's Law, which describes how the angle of incidence (\( \theta \)) and the angle of refraction (\( \phi \)) are related through the refractive indices of the two materials.
Transcribed Image Text:The image illustrates the refraction of light as it passes from glass into water. It is a diagram showing the path of a light ray, which bends at the interface between the two materials. - **Mediums**: The two horizontal lines represent different mediums. The lower medium is labeled "glass," and the upper medium is labeled "water." - **Incident Ray**: The light initially travels through the glass and strikes the boundary at an angle. This incoming path is represented by an arrow pointing towards the interface, labeled with the angle \( \theta \). - **Refracted Ray**: Upon crossing into the water, the light changes direction. This new path is shown by an arrow pointing away from the boundary, labeled with the angle \( \phi \). - **Normal Line**: At the point of refraction, a dotted vertical line is drawn perpendicular to the interface, indicating the normal line, which is the reference for measuring the angles \( \theta \) and \( \phi \). The diagram exemplifies Snell's Law, which describes how the angle of incidence (\( \theta \)) and the angle of refraction (\( \phi \)) are related through the refractive indices of the two materials.
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