A ray of sunlight is incident from the left (shown in blue in the upper left) upon a spherical water droplet as shown in figure below. The ray, shown making an angle at incident i undergoes a refraction with angle r at the first interface, a reflection at the rear interface, and finally emerging from a second refraction at the lower front interface. find an expression for the total deviation angle for the returned light ray (lower left in blue) from the incident direction of the light ray, as shown in the figure above. Write your expression in terms of radians ### Light Refraction in Water Droplets**Diagram Explanation:**The image shows a diagram illustrating the behavior of light rays as they encounter a water droplet. This phenomenon is commonly related to the formation of rainbows.1. **Light Ray Path:** - The blue arrows represent the path of sunlight entering the water droplet. - As the light enters the droplet, it bends (refracts) at the boundary due to the change in medium from air to water.2. **Internal Reflection:** - Once inside the droplet, some of the light is reflected internally off the back surface of the droplet. This is shown by the path of the blue arrows making a U-turn.3. **Secondary Refraction:** - The light exits the droplet after a second refraction, bending once again as it moves from the water back into the air.4. **Circle Representation:** - The red circle symbolizes the boundary of a water droplet. - Dotted lines depict the angle of incidence and refraction, illustrating the theoretical paths light takes upon entering and exiting the droplet.5. **Rainbow Formation Angles:** - The dashed red and green lines indicate the angles at which light emerges from the droplet to potentially form a rainbow. These angles are significant in the dispersion of colors that create a rainbow.**Conclusion:**This diagram provides a basic understanding of how sunlight interacts with water droplets, leading to fascinating optical phenomena like rainbows. The principles of refraction, internal reflection, and dispersion are critical to this process.

Given that: To determine the expression of total deviation angle.

Answered: A ray of sunlight is incident from the…

College Physics

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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A ray of sunlight is incident from the left (shown in blue in the upper left) upon a spherical water droplet as shown in figure below. The ray, shown making an angle at incident i undergoes a refraction with angle r at the first interface, a reflection at the rear interface, and finally emerging from a second refraction at the lower front interface.

find an expression for the total deviation angle for the returned light ray (lower left in blue) from the incident direction of the light ray, as shown in the figure above. Write your expression in terms of radians

### Light Refraction in Water Droplets

**Diagram Explanation:**

The image shows a diagram illustrating the behavior of light rays as they encounter a water droplet. This phenomenon is commonly related to the formation of rainbows.

1. **Light Ray Path:**
- The blue arrows represent the path of sunlight entering the water droplet.
- As the light enters the droplet, it bends (refracts) at the boundary due to the change in medium from air to water.

2. **Internal Reflection:**
- Once inside the droplet, some of the light is reflected internally off the back surface of the droplet. This is shown by the path of the blue arrows making a U-turn.

3. **Secondary Refraction:**
- The light exits the droplet after a second refraction, bending once again as it moves from the water back into the air.

4. **Circle Representation:**
- The red circle symbolizes the boundary of a water droplet.
- Dotted lines depict the angle of incidence and refraction, illustrating the theoretical paths light takes upon entering and exiting the droplet.

5. **Rainbow Formation Angles:**
- The dashed red and green lines indicate the angles at which light emerges from the droplet to potentially form a rainbow. These angles are significant in the dispersion of colors that create a rainbow.

**Conclusion:**

This diagram provides a basic understanding of how sunlight interacts with water droplets, leading to fascinating optical phenomena like rainbows. The principles of refraction, internal reflection, and dispersion are critical to this process.

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