When the rectangular metal tank in the figure is filled to the top with an unknown liquid, observer O, with eyes level with the top of the tank, can just see corner E. A ray that refracts toward O at the top surface of the liquid is shown. In terms of D and L, what is the index of refraction of the liquid? Normal to liquid surface nliquid =
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- Using the figure below, find the angles of refraction for a light ray passing from air into glass with the following angles of incidence: 5°, 10°, and 20°. 45 40 35 30 25 20 15 10 10 20 30 40 50 60 70 80 90 Angle in air (*) O10° %3D 020° Do you notice a trend in the resulting values? If so, describe it. O Doubling the angle of incidence approximately halves the angle of refraction. O Doubling the angle of incidence approximately doubles the angle of refraction. O Doubling the angle of incidence approximately quadruples the angle of refraction. There is no trend in the resulting values. Based on your observations, what would you predict the angle of refraction to be for an angle of incidence of 40°? How does your value compare with that inferred from the figure? () ssed u asuyIn the figure, a light ray in air is incident on a flat layer of material 2 that has an index of refraction n₂ = 2.7. Beneath material 2 is material 3 with an index of refraction n3. The ray is incident on the air-material 2 interface at the Brewster angle for that interface. The ray of light refracted into material 3 happens to be incident on the material 2-material 3 interface at the Brewster angle for that interface. What is the value of n3? Number Units 09₂ Air ng ngWhich of the following statements are (or could be) true? Choose all that apply. O A glass at a temperature of 43 K will emit EM waves. O The index of refraction of a newly discovered transparent material is 1.6. In a vacuum, radio waves move the same speed as microwaves. O Total internal reflection will occur if the critical angle is greater than the incident angle. A light ray was reflected. The incident angle was 44° and the reflected angle was 60°. O If do = 0, then d; = f.
- A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333. Suppose the goldfish is p = 10.7 cm from the wall of a bowl of radius |R| = 19.2 cm, as in the figure below. Neglecting the refraction of light caused by the wall of the bowl, determine the apparent distance of the goldfish from the wall according to an observer outside the bowl.cm behind the glassCalculate the angle of refraction at the air/core interface, r . critical angle, c and incident angle at the core/cladding interface, i . Will this light ray propagate down the fiber? You have the following data: nair = 1, ncore = 1.46, ncladding =1.43, incident =12o Answers: r = 8.2o , c = 78.4o , i = 81.8o light will propagate Formula summery Index of Refraction n= n sin 01= n, sin 0, o = sin1(2) Snell's Law Critical Angle Acceptance angle a= sin1 Numerical Aperture NA = sin a = ni- nịA ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 29 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Write an expression for the reflection angle ψ, with respect to the surface.
- Light traveling through medium 3 (n3 = 2.4) is incident on the interface with medium 2 (n2 = 2.0) at angle θ. If light does enter into medium 2 but no light enters into medium 1 (n1 = 1.6), what can we conclude about the range of values for θ?A beam of light is incident from air on the surface of a liquid. If the angle of incidence is 33.0° and the angle of refraction is 18.7°, find the critical angle for the liquid when surrounded by air. OAn engineer is carrying out an experiment to determine the index of refraction for a partially reflective material. To do this, she aims a narrow beam of light at a sample of this material, which has a smooth surface. She then varies the angle of incidence. (The incident beam is traveling through air.) The light that gets reflected by the sample is completely polarized when the angle of incidence is 59.5°. (a)What index of refraction describes the material? n = (b)If some of the incident light (at ?i = 59.5°) enters the material and travels below the surface, what is the angle of refraction (in degrees)?
- A piece of clear plastic is immersed in a fluid, which has an index of refraction of nfluid = 1.20.When light traveling through the plastic is incident on the boundary with the fluid and makesan angle of 58° or greater with the normal, total internal reflection occurs. What is the index ofrefraction of the plastic?v