5.8 Locate the image of an object placed 1.2 m from the vertex of a gypsy's crystal ball, which has a 20-cm diameter (n = 1.5). Make a sketch of the rays.

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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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**5.8** Locate the image of an object placed 1.2 m from the vertex of a gypsy’s crystal ball, which has a 20-cm diameter (n = 1.5). Make a sketch of the rays.

**Explanation:**

- **Objective:** To find the position of the image formed by an object placed 1.2 meters from the vertex of a 20-centimeter diameter crystal ball with a refractive index of 1.5.

- **Refractive Index (n):** The measure of how much the speed of light is reduced inside the medium. For this crystal ball, n = 1.5.

- **Object Distance:** 1.2 meters from the vertex of the crystal ball.

- **Crystal Ball Diameter:** 20 centimeters, which means the radius is 10 centimeters or 0.1 meters.

- **Geometric Optics Concepts:** Utilize lens maker’s equation, refraction principles, and ray diagrams to determine the image location.

- **Ray Diagram Sketch Needed:** A visual representation of light rays’ paths as they pass through the crystal ball, showing how they converge to form an image.

Understanding this involves applying principles from geometric optics, including the refraction of light through spherical surfaces. Sketching the ray diagram aids in visualizing how the refraction leads to image formation.
Transcribed Image Text:**5.8** Locate the image of an object placed 1.2 m from the vertex of a gypsy’s crystal ball, which has a 20-cm diameter (n = 1.5). Make a sketch of the rays. **Explanation:** - **Objective:** To find the position of the image formed by an object placed 1.2 meters from the vertex of a 20-centimeter diameter crystal ball with a refractive index of 1.5. - **Refractive Index (n):** The measure of how much the speed of light is reduced inside the medium. For this crystal ball, n = 1.5. - **Object Distance:** 1.2 meters from the vertex of the crystal ball. - **Crystal Ball Diameter:** 20 centimeters, which means the radius is 10 centimeters or 0.1 meters. - **Geometric Optics Concepts:** Utilize lens maker’s equation, refraction principles, and ray diagrams to determine the image location. - **Ray Diagram Sketch Needed:** A visual representation of light rays’ paths as they pass through the crystal ball, showing how they converge to form an image. Understanding this involves applying principles from geometric optics, including the refraction of light through spherical surfaces. Sketching the ray diagram aids in visualizing how the refraction leads to image formation.
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