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 02 = 1.80° with the outside surface of the cladding. What angle 01 did the ray in the core make with the axis? Air Cladding Core Axis

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**Educational Content: Understanding Light Rays in Optical Fibers**

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 \( \theta_2 = 1.80^\circ \) with the outside surface of the cladding. What angle \( \theta_1 \) did the ray in the core make with the axis?

**Diagram Explanation:**

- **Diagram Components:**
  - The diagram shows a cylindrical optical fiber with three main layers: core, cladding, and air.
  - The light ray is depicted as a blue arrow, starting in the core, passing through the cladding, and emerging into the air.
  - The core is shaded in light blue and surrounded by the cladding, which is shown in orange.
  - The axis of the fiber is indicated by a dashed line parallel to the fiber's length.
 
- **Angles:**
  - \( \theta_1 \): The angle between the light ray in the core and the axis of the fiber.
  - \( \theta_2 = 1.80^\circ \): The angle between the emerging ray in the air and the outside surface of the cladding.

- **Refractive Indices:**
  - Core: n = 1.40
  - Cladding: n = 1.20

The objective is to determine the incident angle \( \theta_1 \) that the light ray in the core makes with the axis of the fiber.
Transcribed Image Text:**Educational Content: Understanding Light Rays in Optical Fibers** 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 \( \theta_2 = 1.80^\circ \) with the outside surface of the cladding. What angle \( \theta_1 \) did the ray in the core make with the axis? **Diagram Explanation:** - **Diagram Components:** - The diagram shows a cylindrical optical fiber with three main layers: core, cladding, and air. - The light ray is depicted as a blue arrow, starting in the core, passing through the cladding, and emerging into the air. - The core is shaded in light blue and surrounded by the cladding, which is shown in orange. - The axis of the fiber is indicated by a dashed line parallel to the fiber's length. - **Angles:** - \( \theta_1 \): The angle between the light ray in the core and the axis of the fiber. - \( \theta_2 = 1.80^\circ \): The angle between the emerging ray in the air and the outside surface of the cladding. - **Refractive Indices:** - Core: n = 1.40 - Cladding: n = 1.20 The objective is to determine the incident angle \( \theta_1 \) that the light ray in the core makes with the axis of the fiber.
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