Light is incident at an angle (q) of 20° on a stack of materials with different indices of refraction as shown below, where n1 = 1.2, n2 = 1.3 and n3 = 1.5. What angle does the light make with the normal in the last substance (n3)?
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Light is incident at an angle (q) of 20° on a stack of materials with different indices of refraction as shown below, where n1 = 1.2, n2 = 1.3 and n3 = 1.5. What angle does the light make with the normal in the last substance (n3)?
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- Problem 9: A 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. Part (a) Choose an expression for the angle (relative to the normal to the surface) for the ray in the water, θ2. Part (b) Numerically, what is the angle in degrees?F: (a) In figure below, a beam of monochromatic light reflects and refracts at point A on the interface between material 1 with index of refraction n₁ = 1.77 and material 2 with index of refraction n₂ = 1.33. The incident beam makes an angle of 50° with the interface. What is the angle of reflection at point A? What is the angle of refraction there? (b) What is the angle of reflection at point B? What is the angle of refraction there? 50° e, ie A 18 721 Tho no ng Air A| 8₂0In the figure shown, a light ray travelling through air (n=1.0) strikes the surface of an unknown material. The soeed of light in this unknown material is only 1.2E8 m)s, and the angke marked (alpha) in the figure is 30 degrees. A) What is the index of refraction of the unknown material? B) What is the angle marked (Beta) in the figure? 2) Draw a history graph for the position x= -2m for the same wave pulse shown in the diagram figure above. Show some mathematical proofs
- The figure below shows the path of a beam of light through several layers with different indices of refraction. (Assume n 1.08.) n = 1,60 n = 1.40 n = 1.20 (a) If 0, = 20.0°, what is the angle 0, of the emerging beam? (b) What is the smallest incident angle 0, to have total internal reflection at the surface between the medium with n = 1.20 and the medium with n. = 1.08?A ray of white light traveling through air enters a block of glass that has an index of refraction of 1.44 for the red end of the spectrum and 1.46 for the violet end. If the ray has an angle of incidence of 60.0 degrees with respect to the normal of the interface boundary, what's the angular separation between the red and violet ends of the spectrum within the glass?A ray of light crosses the boundary between some substance with n = 1.54 and air, going from the substance into air. If the angle of incidence is 29◦ what is the angle of refraction? Calculate to 1decimal.
- (a) A small light fixture on the bottom of a swimming pool is 0.86 m below the surface. The light emerging from the still water forms a circle on the water surface. What is the diameter of this circle? (Give your answer, in m, to at least two decimal places.) m (b) What If? If a 1.58 cm thick layer of oil (noil 1.35) is spread uniformly over the surface of the water, what is the diameter of the circle of light emerging from the swimming pool? (Give your answer, in m, to at least two decimal places.) m =A ray of light consisting of blue light (wavelength 480 nm) and red light (wavelength 670 nm) is incident on a thick piece of glass at 80°. What is the angular separation between the refracted red and refracted blue beams while they are in the glass? (The respective indices of refraction for the blue light and the red light are 1.4636 and 1.4561.) 0.27° 0.33° 0.36° 0.46° 0.54°In the figure, light is incident at angle θ1 = 37˚ on a boundary between two transparent materials. Some of the light travels down through the next three layers of transparent materials, while some of it reflects upward and then escapes into the air. If n1 = 1.26, n2 = 1.42, n3 = 1.32 and n4 = 1.45, what is the value of (a) θ5 and (b) θ4?
- A parallel sided plate of glass with an index of refraction of 1.60 is in contact with the surface of water (n=1.33) in a tank. A ray coming from above makes an angle of incidence of 30.0° with the normal to the top surface of the glass plate. (a) What is the speed of light in the glass plate? (b) What is the critical angle between the glass and the water? (c) What angle does this ray make with the normal in the water? (d) Include a diagram of the situation. [Diagram 3 pts.]A beam of light traveling in air strikes a slab of transparent material. The incident beam makes an angle of 60° with the normal, and the refracted beam make an angle of 50° with the normal. What is the speed of light in the transparent material? (c = 3.0 × 108 m/s) Provide the answer: x 108 m/sA 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.