Please refer to Figure 2 included. A light beam shines through air and then strikes a mirror, making an angle theta = 66.3 degrees with respect to the vertical, as shown. The reflected beam then strikes a pane of glass of thickness h = 1.01 cm, located a distance y= 32.2 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? 74.1 cm 29.6 cm 103.7 cm 44.5 cm **Figure 2: Diagram of Light Reflection and Refraction**This diagram illustrates the behavior of a light ray as it travels through different media. The setup includes a mirror, air, and glass.1. **Components**: - **Mirror**: Positioned horizontally at the top of the diagram. - **Air**: The section where the initial light ray travels, with a refractive index \( n = 1 \). - **Glass**: The lower section with a refractive index \( n = 1.5 \).2. **Path of the Light Ray**: - The light ray approaches the mirror at an angle \( \theta \). - Upon striking the mirror, the ray gets reflected downwards into the glass. - It continues to travel through the glass, exiting at the bottom.3. **Dimensions**: - **\( y \)**: Vertical distance from the mirror to the glass surface. - **\( h \)**: Thickness of the glass. - **\( x \)**: Horizontal distance traveled within the air before reaching the glass. - **\( k \)**: Additional horizontal measurement along the glass.This diagram is crucial for understanding the principles of light reflection and refraction, illustrating how light behaves when encountering surfaces of varying refractive indices.

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College Physics

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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 included.

A light beam shines through air and then strikes a mirror, making an angle theta = 66.3 degrees with respect to the vertical, as shown. The reflected beam then strikes a pane of glass of thickness h = 1.01 cm, located a distance y= 32.2 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?

		74.1 cm
		29.6 cm
		103.7 cm
		44.5 cm

**Figure 2: Diagram of Light Reflection and Refraction**

This diagram illustrates the behavior of a light ray as it travels through different media. The setup includes a mirror, air, and glass.

1. **Components**:
- **Mirror**: Positioned horizontally at the top of the diagram.
- **Air**: The section where the initial light ray travels, with a refractive index \( n = 1 \).
- **Glass**: The lower section with a refractive index \( n = 1.5 \).

2. **Path of the Light Ray**:
- The light ray approaches the mirror at an angle \( \theta \).
- Upon striking the mirror, the ray gets reflected downwards into the glass.
- It continues to travel through the glass, exiting at the bottom.

3. **Dimensions**:
- **\( y \)**: Vertical distance from the mirror to the glass surface.
- **\( h \)**: Thickness of the glass.
- **\( x \)**: Horizontal distance traveled within the air before reaching the glass.
- **\( k \)**: Additional horizontal measurement along the glass.

This diagram is crucial for understanding the principles of light reflection and refraction, illustrating how light behaves when encountering surfaces of varying refractive indices.

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