As shown in the figure, a light beam travels from air, through olive oil, and then into water. If the angle of refraction ?2 for the light in the olive oil is 33.2°, determine the angle of incidence ?1 in air and the angle of refraction ?3 in water. The index of refraction for olive oil is 1.47. ?1  =   ? ° ?3  =   ? °

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As shown in the figure, a light beam travels from air, through olive oil, and then into water. If the angle of refraction ?2 for the light in the olive oil is 33.2°, determine the angle of incidence ?1 in air and the angle of refraction ?3 in water. The index of refraction for olive oil is 1.47.

?1  =   ? °
?3  =   ? °
### Refraction of Light Through Different Media

The diagram illustrates the refraction of light as it passes through three different media: air, oil, and water. 

1. **Media and Indices of Refraction:**
   - **Air** (labeled as \( n_1 \)): The topmost layer where light initially travels. 
   - **Oil** (labeled as \( n_2 \)): The middle layer where light bends for the first time.
   - **Water** (labeled as \( n_3 \)): The bottom layer where light bends again.

2. **Angles of Incidence and Refraction:**
   - \( \theta_1 \): The angle of incidence in air.
   - \( \theta_2 \): The angle of refraction in oil.
   - \( \theta_3 \): The angle of refraction in water.

3. **Light Path:**
   - The light ray enters from the air and hits the boundary with the oil layer, changing direction due to the change in the refractive index.
   - It again changes direction when moving from the oil to the water layer, following Snell's Law \( (n_1 \sin \theta_1 = n_2 \sin \theta_2 = n_3 \sin \theta_3) \).

This diagram serves to explain how light behaves when passing through different substances with varying optical densities. Understanding this principle is fundamental in optics.
Transcribed Image Text:### Refraction of Light Through Different Media The diagram illustrates the refraction of light as it passes through three different media: air, oil, and water. 1. **Media and Indices of Refraction:** - **Air** (labeled as \( n_1 \)): The topmost layer where light initially travels. - **Oil** (labeled as \( n_2 \)): The middle layer where light bends for the first time. - **Water** (labeled as \( n_3 \)): The bottom layer where light bends again. 2. **Angles of Incidence and Refraction:** - \( \theta_1 \): The angle of incidence in air. - \( \theta_2 \): The angle of refraction in oil. - \( \theta_3 \): The angle of refraction in water. 3. **Light Path:** - The light ray enters from the air and hits the boundary with the oil layer, changing direction due to the change in the refractive index. - It again changes direction when moving from the oil to the water layer, following Snell's Law \( (n_1 \sin \theta_1 = n_2 \sin \theta_2 = n_3 \sin \theta_3) \). This diagram serves to explain how light behaves when passing through different substances with varying optical densities. Understanding this principle is fundamental in optics.
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