A light ray in the core (n = 1.40) of a cylindrical optical fiber is incident on the cladding. A ray is transmitted through the cladding (n = 1.20) and into the air. The emerging ray makes an angle 0 = 8.60° with the outside surface of the cladding. What angle e did the ray in the core make with the axis? Air Cladding ·Axis Core

College Physics
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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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**Problem Statement:**

A light ray in the core (n = 1.40) of a cylindrical optical fiber is incident on the cladding. A ray is transmitted through the cladding (n = 1.20) and into the air. The emerging ray makes an angle θ₂ = 8.60° with the outside surface of the cladding. What angle θ₁ did the ray in the core make with the axis?

**Diagram Description:**

The diagram shows the structure of a cylindrical optical fiber consisting of a core, cladding, and surrounding air. 

1. A light ray is shown traveling through the core of the optical fiber.
2. As the ray hits the boundary between the core and the cladding, it is shown refracted at an angle labeled θ₁.
3. The ray continues through the cladding, exiting into the air at an angle θ₂ = 8.60° with the outer surface of the cladding.
4. The refractive indices are labeled as n = 1.40 for the core and n = 1.20 for the cladding.
5. The axis of the optical fiber is marked, parallel to the direction of the initial light ray.

**Calculation Box:**
There is an empty rectangular box provided for calculating the value of θ₁ in degrees.
Transcribed Image Text:**Problem Statement:** A light ray in the core (n = 1.40) of a cylindrical optical fiber is incident on the cladding. A ray is transmitted through the cladding (n = 1.20) and into the air. The emerging ray makes an angle θ₂ = 8.60° with the outside surface of the cladding. What angle θ₁ did the ray in the core make with the axis? **Diagram Description:** The diagram shows the structure of a cylindrical optical fiber consisting of a core, cladding, and surrounding air. 1. A light ray is shown traveling through the core of the optical fiber. 2. As the ray hits the boundary between the core and the cladding, it is shown refracted at an angle labeled θ₁. 3. The ray continues through the cladding, exiting into the air at an angle θ₂ = 8.60° with the outer surface of the cladding. 4. The refractive indices are labeled as n = 1.40 for the core and n = 1.20 for the cladding. 5. The axis of the optical fiber is marked, parallel to the direction of the initial light ray. **Calculation Box:** There is an empty rectangular box provided for calculating the value of θ₁ in degrees.
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