Please refer to part (c). Here, the triangle is isosceles, and alpha (the angle at the top of the triangular prism) is 39.9 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?
Refraction of Light
Refraction is a change in the direction of light rays when they travel from one medium to another. It is the bending of light when it goes through different media.
Angle of Refraction
Light is considered by many scientists to have dual nature, both particle nature and wave nature. First, Particle nature is one in which we consider a stream of packets of energy called photons. Second, Wave nature is considering light as electromagnetic radiation whereas part of it is perceived by humans. Visible spectrum defined by humans lies in a range of 400 to 700 nm wavelengths.
Index of Refraction of Diamond
Diamond, the world’s hardest naturally occurring material and mineral known, is a solid form of the element carbon. The atoms are arranged in a crystal structure called diamond cubic. They exist in a huge variety of colours. Also, they are one of the best conductors of heat and have a very high melting point.
Please refer to part (c). Here, the triangle is isosceles, and alpha (the angle at the top of the triangular prism) is 39.9 degrees. What is theta (the angle below the horizontal that the ray makes emerging from the prism on the right)?
|
10.2 degrees
|
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5.1 degrees
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14.3 degrees
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8.2 degrees
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![**Refraction in Different Geometrical Shapes**
**Figure (a): Triangular Glass Prism**
- **Media**:
- Air (\(n_1 = 1\))
- Glass (\(n_2 = 1.5\))
- **Description**:
- An input light ray enters a triangular glass prism from air. The ray is parallel to the base of the triangle.
- The angle of incidence where the ray enters the glass is marked as \(\alpha\).
- The angle of deviation within the glass is marked as \(\theta\).
**Figure (b): Rectangular Glass Slab in Water**
- **Media**:
- Water (\(n_1 = 1.3\))
- Glass (\(n_2 = 1.5\))
- **Description**:
- A light ray enters a rectangular glass slab submerged in water.
- The slab has a thickness of 10 meters.
- The incoming ray makes an angle \(\theta\) with the normal at the point of incidence.
- The angle after refraction is denoted as \(d\).
**Figure (c): Triangular Glass Prism**
- **Media**:
- Air
- Glass (\(n_2 = 1.5\))
- **Description**:
- An input light ray enters horizontally into a triangular glass prism.
- The angle at which it hits the prism is \(\alpha\).
- After passing through the prism, the light exits making an angle \(\theta\).
These diagrams illustrate the principle of light refraction as it passes through different media and geometrical shapes, demonstrating changes in the light path and angles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febeba814-a0a4-41d1-99a8-f82307b9875b%2F5026802b-9913-4b34-883d-53e7ef80c953%2Feqmzjs_processed.png&w=3840&q=75)
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