A point source of light is 2.54 m below the surface of a pool. What is the diameter of the circle of light that water will see? Assume the water has an index of refraction of n = 1.33.
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- The index of refraction for material 1 is 1.36; for material 2 it is 1.66. Light travels 1.5 m in the first material before hitting the second material, where it travels another 1.5 m. What is the total time taken for the light to travel the total distance? Speed of light c = 2.998 x 108 m/s Total time in the two materials = = 1.51 S Reflect on the order of magntitude of this time. Is this a perceptible time delay? ! No, that's not the correct answer.In 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 proofsThe 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.Light travels a distance of 0.884 m in 2.00 ns in a given substance. What is the index of refraction of this substance? Express your answer to three significant figures.
- A thin beam of light makes an angle of 60° with the surface (not the normal) of a body of water (n = 1.33). Once the light beam refracts into the water what angle does the beam make with the surface of water? 30° 68° 22° 60°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. Write an expression for the reflection angle ψ, with respect to the surface.The critical angle for light going from a certain plastic into a liquid with n = 1.14 is 48 degrees. What is the index of refraction of the plastic?
- Light is incident from one medium with an index of refraction of 2.31 at an angle of 27.14 degrees with respect to the normal to the surface. The light then passes into another medium with a refractive index 1.35.With what angle is the light refracted with respect to the surface normal?A point source of light is submerged 2.30 m below the surface of a lake and emits rays in all directions. On the surface of the lake, directly above the source, the area illuminated is a circle. What is the maximum radius that this circle could have?An 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)?