a) Explain the conditions necessary for total internal reflection of light at the interface between two media.
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- a) A light ray in a material with refractive index n₁ hits the surface of a material with refractive index n2 > n₁ under the incidence angle 0₁ > 0. State whether the transmission angle Øt is larger than 0₁ or smaller. State which relation (i.e., inequality) between n₁ and n₂ has to be fulfilled to observe total internal reflection.Assume that a material is composed of 3 layers in descending order: air (nair = 1.00), water (nwater = 1.33), and glass (nglass= 1.52). Then, assume that a monochromatic light ray in the air passes through the surface of water with an angle of incidence 0₁ = 40 degrees. A. Find the angle of refraction in glass after it passes completely through the water layer. B. Find how fast is the light ray moving in the glass?Snell's Law and the Law of Reflection explain how light is redirected when it encounters a surface between two media. In the extreme, light may only reflect at a boundary, and go back into the medium it was in. More often, some of it reflects and some goes through. If the boundary is plane and flat, then these laws are easy to interpret. When the boundary is curved, they describe happens at every point on the surface. One of the class types of glass is called "crown" glass, which has an index of refraction for visible light of 1.52 and is usually free of significant impurities. It was one of the first glasses discovered, and windows are made from it. Another glass is called "flint" glass, and it has lead oxide added, which makes it heavier, more "dispersive" and colorful, and increases its index of refraction to 1.62.
- Determine the maximum angle θ for which the light rays incident on the end of the pipe in the figure are subject to total internal reflection along the walls of the pipe. Assume that the pipe has an index of refraction of 1.36 and that the outside medium is air.1) A light ray incoming from air hits a glass surface. Incident angle and refraction angle is calculated at the table below. a)Find the index of refraction of the medium for 3 different angles Incoming Refracted index N/A 30 8.7 45 12.2 60 15.3 b) Plot sin(theta1) vs sin(theta2) and obtain best fit line. What does the numeric value of the slope corresponds to in Snell's Law equation.Answer the following questions A. The critical angle for total internal reflection at a diamond-air interface is 25 degrees. Suppose the light falls at an angle to the normal. Then, total internal reflection will occur if the incident medium is: a) air and angle < 25 degrees b) air and angle > 25 degrees c) air and angle = 25 degrees d) diameter and angle > 25 degrees e) diamond and angle < 25 degrees B. A ray of light in water (index n1) hits its surface (with air) at a critical angle for total internal reflection. Now some oil (index n2) floats in the water. The angle between the ray in the oil and the normal is: note: sin -1 (1.00), it is read as the inverse sine of one. a) sin -1 (1/n1) b) sin -1 (1/n2) c) sin -1 (1.00) d) sin -1 (n1/n2) e) sin -1 (n2/n1) C. A ray of light passes obliquely (non-zero angle) through a glass plate that has parallel faces. The emerging ray: a) it leans more towards the normal than the incident ray b) is reflected internally toatl c) tilts…
- Consider a fiber like the one sketched below. Take the index of refraction of the core to be n₁ = 1.52 and the index of refraction of the cladding to be n₂ = 1.46. A) What is the critical angle for the core/cladding interface? B) If the input angle from air is 00= 10° Calculate 01. C) If the input angle from air is 80-10° Calculate y. D) If the input angle from air is 00=10° will the ray be guided by the fiber with low loss? E) If the input angle from air is 00=30° Calculate 0₁. F) If the input angle from air is 00=30° Calculate y. G) If the input angle from air is 00=30° will the ray be guided by the fiber with low loss? H) What is the maximum input angle from air for a ray that will be guided with low loss by this fiber?Assume that a material is composed of 3 layers in descending order: air (nair = 1.00), water (nwater = 1.33), and glass (nglass= 1.52). Then, assume that a monochromatic light ray in the air passes through the surface of water with an angle of incidence 0₁ = 40 degrees. A. Find the angle of refraction in glass after it passes completely through the water layer. B. Find how fast is the light ray moving in the glass?What is the critical angle for total internal reflection for glass in air? Assume that nglass= 1.50 and nair = 1.00.
- Snell's Law and the Law of Reflection explain how light is redirected when it encounters a surface between two media. In the extreme, light may only reflect at a boundary, and go back into the medium it was in. More often, some of it reflects and some goes through. If the boundary is plane and flat, then these laws are easy to interpret. When the boundary is curved, they describe happens at every point on the surface. One of the class types of glass is called "crown" glass, which has an index of refraction for visible light of 1.52 and is usually free of significant impurities. It was one of the first glasses discovered, and windows are made from it. Another glass is called "flint" glass, and it has lead oxide added, which makes it heavier, more "dispersive" and colorful, and increases its index of refraction to 1.62. For the flint glass, the refracted ray goes through the glass to the other side. If the glass is a parallel slab, what happens when the ray reaches the…A ray of light enters a flat surface of a block of glass (n=1.52) that is surrounded by water (n=1.33). If the refractive angle is 24.4°, what would be the angle of reflection? Select one: a. 28.17° b. 15.77° c. 18.10° d. 21.19°a. A ray of light enters a fiber optic cable with index of refraction n from air at an angle e as shown below. Let the angle 0 be 69°. For total internal reflection to occur at the cable-air interface, what must be the value of n? Dair - 1 n = Ꮎ θα ec n