Please refer to part (b). Here, theta (the angle the incident ray makes with respect to the vertical) is 50.7 degrees. What is d (the distance between the ray emerging from the bottom of the glass and where the ray would have been if it had continued straight on with no glass to refract it)?
Please refer to part (b). Here, theta (the angle the incident ray makes with respect to the vertical) is 50.7 degrees. What is d (the distance between the ray emerging from the bottom of the glass and where the ray would have been if it had continued straight on with no glass to refract it)?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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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Please refer to part (b). Here, theta (the angle the incident ray makes with respect to the vertical) is 50.7 degrees. What is d (the distance between the ray emerging from the bottom of the glass and where the ray would have been if it had continued straight on with no glass to refract it)?
Transcribed Image Text:### Diagram Explanation and Transcription
The image consists of three diagrams labeled (a), (b), and (c). These illustrate the refraction of light as it passes through different mediums—air, water (H₂O), and glass.
#### Diagram (a)
- **Description**: A triangular glass prism with refractive index \( n_2 = 1.5 \) is shown, surrounded by air with refractive index \( n_1 = 1 \).
- **Components**:
- *Input Ray*: A light ray enters the prism parallel to the base.
- *Angle of Incidence (\(\alpha\))*: The angle of the prism where the light enters.
- *Refracted Ray (\(\theta\))*: The light ray is shown refracting at an angle inside the glass.
#### Diagram (b)
- **Description**: A rectangular block submerged in water, with water having a refractive index \( n_1 = 1.3 \) and glass with \( n_2 = 1.5 \).
- **Components**:
- *Ray Path*: A red ray enters water at an angle (\(\theta\)), refracts as it enters glass at a calculated shift (\(d\)), and exits back into water.
- *Dimensions*: The width of the block is 10 meters.
#### Diagram (c)
- **Description**: An inverted triangular glass prism with a refractive index \( n_2 = 1.5 \) surrounded by air.
- **Components**:
- *Input Ray*: A horizontal red ray entering the prism.
- *Angle of Incidence (\(\alpha\))*: The angle at the top of the triangle where the light enters.
- *Refracted Ray (\(\theta\))*: The ray bends as it exits the prism.
These diagrams visually represent Snell's law of refraction, which describes how light bends when transitioning between materials with different refractive indices. The red light rays illustrate the changes in direction due to refraction as they move through the different mediums.
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