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Please refer to Figure 2. A light beam shines through air and then strikes a mirror, making an angle theta = 48.4 degrees with respect to the vertical, as shown. The reflected beam then strikes a pane of glass of thickness h = 1.97 cm, located a distance y= 40.0 cm from the mirror, and then exits the glass pane at the bottom, a horizontal distance x cm away from where it struck the mirror. What is the value of x?

Please refer to Figure 2. A light beam shines through air and then strikes a mirror, making an angle theta = 48.4 degrees with respect to the vertical, as shown. The reflected beam then strikes a pane of glass of thickness h = 1.97 cm, located a distance y= 40.0 cm from the mirror, and then exits the glass pane at the bottom, a horizontal distance x cm away from where it struck the mirror. What is the value of x?

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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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Please refer to Figure 2. A light beam shines through air and then strikes a mirror, making an angle theta = 48.4 degrees with respect to the vertical, as shown. The reflected beam then strikes a pane of glass of thickness h = 1.97 cm, located a distance y= 40.0 cm from the mirror, and then exits the glass pane at the bottom, a horizontal distance x cm away from where it struck the mirror. What is the value of x?
 
 
64.7 cm
 
27.7 cm
 
46.2 cm
 
13.9 cm
The image illustrates the refraction and reflection of light in a system containing a mirror, air, and a glass medium. The setup includes: 1. **Mirror**: Positioned at the top of the diagram, wherein light initially reflects. 2. **Ray of Light**: The path of the light ray is clearly marked, showing its journey through different media. 3. **Angle of Incidence (θ)**: This is the angle formed between the incident light ray and the normal to the surface at the point of reflection. 4. **Media and Refractive Indices**: - **Air**: The section labeled "Air (n=1)" indicates that this area has a refractive index of 1. - **Glass**: Below the air section, the "Glass (n=1.5)" zone has a higher refractive index of 1.5. 5. **Path of Light**: - The light reflects off the mirror at the angle θ. - As it enters the glass from the air, the light refracts due to the change in refractive index from air to glass. 6. **Measurements**: - **y**: The vertical distance from the mirror to the interface between air and glass. - **h**: The vertical depth of the glass section. - **x**: The horizontal distance from the point where the light enters the glass to where it exits. This diagram is essential for understanding the principles of light behavior such as reflection, refraction, and interaction with materials of different optical densities.
Transcribed Image Text:The image illustrates the refraction and reflection of light in a system containing a mirror, air, and a glass medium. The setup includes: 1. **Mirror**: Positioned at the top of the diagram, wherein light initially reflects. 2. **Ray of Light**: The path of the light ray is clearly marked, showing its journey through different media. 3. **Angle of Incidence (θ)**: This is the angle formed between the incident light ray and the normal to the surface at the point of reflection. 4. **Media and Refractive Indices**: - **Air**: The section labeled "Air (n=1)" indicates that this area has a refractive index of 1. - **Glass**: Below the air section, the "Glass (n=1.5)" zone has a higher refractive index of 1.5. 5. **Path of Light**: - The light reflects off the mirror at the angle θ. - As it enters the glass from the air, the light refracts due to the change in refractive index from air to glass. 6. **Measurements**: - **y**: The vertical distance from the mirror to the interface between air and glass. - **h**: The vertical depth of the glass section. - **x**: The horizontal distance from the point where the light enters the glass to where it exits. This diagram is essential for understanding the principles of light behavior such as reflection, refraction, and interaction with materials of different optical densities.
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