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Consider the ray diagram shown in the figure. Given: n1 = 1.8, n2 = 1.6 and n3 = 1.4. Determine 01 =?

Consider the ray diagram shown in the figure. Given: n1 = 1.8, n2 = 1.6 and n3 = 1.4. Determine 01 =?

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Consider the ray diagram shown in the figure. Given: \( n_1 = 1.8 \), \( n_2 = 1.6 \), and \( n_3 = 1.4 \). Determine \( \theta_1 \). **Diagram Explanation:** - The diagram consists of three layers, each representing a medium with different refractive indices. - The bottom layer represents medium 1 with refractive index \( n_1 \) (1.8), and is colored in blue. - The middle layer represents medium 2 with refractive index \( n_2 \) (1.6), and is colored in green. - The top layer represents medium 3 with refractive index \( n_3 \) (1.4), and is colored in red. - A ray of light moves from medium 1 to medium 2, and then into medium 3. - The angles of incidence and refraction at each boundary are labeled as \( \theta_1 \), \( \theta_2 \), and \( \theta_3 \) respectively. - The ray of light bends at each boundary according to Snell's Law. **Question:** Determine the angle \( \theta_1 \) from the options provided below: 1. \( \theta_1 = 30.7^\circ \) 2. \( \theta_1 = 17.4^\circ \) 3. \( \theta_1 = 25.5^\circ \) 4. \( \theta_1 = 23.4^\circ \) 5. \( \theta_1 = 27.3^\circ \) Please select the correct angle \( \theta_1 \) from the given options.
Transcribed Image Text:Consider the ray diagram shown in the figure. Given: \( n_1 = 1.8 \), \( n_2 = 1.6 \), and \( n_3 = 1.4 \). Determine \( \theta_1 \). **Diagram Explanation:** - The diagram consists of three layers, each representing a medium with different refractive indices. - The bottom layer represents medium 1 with refractive index \( n_1 \) (1.8), and is colored in blue. - The middle layer represents medium 2 with refractive index \( n_2 \) (1.6), and is colored in green. - The top layer represents medium 3 with refractive index \( n_3 \) (1.4), and is colored in red. - A ray of light moves from medium 1 to medium 2, and then into medium 3. - The angles of incidence and refraction at each boundary are labeled as \( \theta_1 \), \( \theta_2 \), and \( \theta_3 \) respectively. - The ray of light bends at each boundary according to Snell's Law. **Question:** Determine the angle \( \theta_1 \) from the options provided below: 1. \( \theta_1 = 30.7^\circ \) 2. \( \theta_1 = 17.4^\circ \) 3. \( \theta_1 = 25.5^\circ \) 4. \( \theta_1 = 23.4^\circ \) 5. \( \theta_1 = 27.3^\circ \) Please select the correct angle \( \theta_1 \) from the given options.
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