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 = 1.00° with the outside surface of the cladding. What angle 6 did the ray in the core make with the axis? Air Cladding Axis Core

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Chapter1: Units, Trigonometry. And Vectors
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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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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 \(\theta_2 = 1.00^\circ\) with the outside surface of the cladding. What angle \(\theta_1\) did the ray in the core make with the axis?

**Diagram Explanation:**
- The illustration shows a cylindrical optical fiber with two main parts: the core and the cladding.
- The core has a refractive index \(n = 1.40\), and is depicted as a central circular region.
- The cladding, surrounding the core, has a refractive index \(n = 1.20\).
- A light ray travels from the core, marked at an angle \(\theta_1\) with respect to the axis of the cylinder.
- This ray then passes through the cladding and exits into the air, making an angle \(\theta_2 = 1.00^\circ\) with the surface of the cladding.
- The diagram illustrates the path of the light ray and the angles involved, providing a visual representation of the refraction occurring at each interface.

**Box for Answer:** 
- A box is provided for entering the calculated angle \(\theta_1\).
Transcribed Image Text: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 \(\theta_2 = 1.00^\circ\) with the outside surface of the cladding. What angle \(\theta_1\) did the ray in the core make with the axis? **Diagram Explanation:** - The illustration shows a cylindrical optical fiber with two main parts: the core and the cladding. - The core has a refractive index \(n = 1.40\), and is depicted as a central circular region. - The cladding, surrounding the core, has a refractive index \(n = 1.20\). - A light ray travels from the core, marked at an angle \(\theta_1\) with respect to the axis of the cylinder. - This ray then passes through the cladding and exits into the air, making an angle \(\theta_2 = 1.00^\circ\) with the surface of the cladding. - The diagram illustrates the path of the light ray and the angles involved, providing a visual representation of the refraction occurring at each interface. **Box for Answer:** - A box is provided for entering the calculated angle \(\theta_1\).
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