A glass is half-full of water, with a layer of oil (n = 1.44) floating on top. A ray of light traveling downward through the oil incident on the water at an angle of 73.0°. Take the refraction index of water to be 1.333. (a) Determine the critical angl for the oil-water interface. (b) Will the ray penetrate into the water? (a) Number i (b) Units
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- Light propagates from air to oil (refracti0on oil n oil =1.49) with an angle of 36° with the surface of oil. The light propagates through oil/water (refraction index n water = 1.33). What is the angle of this light ray when it enters? (a) the oil, and then (b) the water? (c) What would be the refracted angle if the ray entered the water directly? (d) What would be the speed of the light in oil and water? Oil Air Water 36°In the figure, light initially in material 1 refracts into material 2, crosses that material, and is then incident at the critical angle on the interface between materials 2 and 3. The indices of refraction are n, = What is angle 0? (b) If 0 is increased, is there refraction of light into material 3? 1.60, n2 1.40, n3 = 1.18. (а) %3D le n2 (a) Number Units (b)The critical angle for an air-glass interface is 29.4°. When a light ray in air is incident on the interface, the reflected ray is 100% polarized. What is the angle of refraction of that ray in degrees? (numerical answer only with 3 sig figs please)
- (a) Light travels 0.700 times as fast in Jell-O as it does in a vacuum. Calculate the index of refraction of Jell-O. (b) If it travels 1.10 times after in bouillon soup than in Jell-O, what si the soup’s index of refraction? Be sure to justify your calculation technique.An object is placed 10.1 cm in front of the cornea. (The cornea is thin ans has approximately parallel sides so that the reflection that occurs as light travels from air to cornea to aqueous humor is essentially the same as though the aqueous humor were directly in contact with the air. The aqueous humor has index of refraction n = 1.34 and the radius of curvature of cornea is 7.8 mm.) (a) What is the image distance for the image formed by the cornea alone? (b) The image formed by the cornea serves as an object for the lens. Treat the lens as a thin lens 8 mm behind the cornea. Find the optical power of the lens necessary to form an image on the retina, 25 mm from the center of the lens.Light with an average flux of 20W/cm? falls on a non-reflecting surface at normal incidence having surface area 20cm2 . The energy received by the surface during time span of 1 minute is:
- The critical angle for an air-glass interface is 29.2°. When a light ray in air is incident on the interface, the reflected ray is 100% polarized. What is the angle of refraction of that ray in degrees? (numerical answer only with 3 sig figs please)Laser light is passed through a angle of incidence in air of 0₁ rod made out of a material with an index of refraction of 1.63, a length L = 45.0 cm, and square cross section of length h = 3.00 mm on a side as shown in the figure. If the light enters at the center of the rod with an 47.5°, determine the number of total internal reflections before it emerges from the opposite end of the rod. 42.0 cm T 3.10 mmAn object is placed 9.50 cm in front of the cornea. (The cornea is thin ans has approximately parallel sides so that the reflection that occurs as light travels from air to cornea to aqueous humor is essentially the same as though the aqueous humor were directly in contact with the air. The aqueous humor has index of refraction n = 1.34 and the radius of curvature of cornea is 7.8 mm.) (a) What is the image distance for the image formed by the cornea alone? (b) The image formed by the cornea serves as an object for the lens. Treat the lens as a thin lens 4 mm behind the cornea. Find the optical power of the lens necessary to form an image on the retina, 23 mm from the center of the lens.
- A prism of refracting angle 60° is made with a material of refractive index (µ). For a certain wavelength of light, the angle of this minimum deviation is 30°. For wavelength, the value of (µ) of material is (a) 1.820 (b) 1.503 (c) 1.414 (d) 1.231(b)A ray of light enters from air into fiber. The refractive index of air is 1. The fiber has a core of refractive index 1.5 and cladding of refractive index 1.48. Find the critical angle, Acceptance angle and numerical aperture?