You can determine the index of refraction of a substance by determining its critical angle. (a) What is the index of refraction of a substance that has a critical angle of 630 when submerged in water (nwater = 1.333)? Your answer should be a number with three decimal places, do not include the unit. Water 112
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![You can determine the index of refraction of a substance by determining its
critical angle. (a) What is the index of refraction of a substance that has a critical
angle of 630 when submerged in water (nwater = 1.333)?
Your answer should be a number with three decimal places, do not include the
unit.
Water
112
1₁
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- An object is placed 9.20 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 6 mm behind the cornea. Find the optical power of the lens necessary to form an image on the retina, 22 mm from the center of the lens.The figure shows a light bean deflected by a 30°, 60°, 90° prism. The deflected angle 0₁ is measured to be 22.6°. What is the index of refraction for the prism? 0₁ Answer: 60.0⁰A laser beam strikes one end of a slab of material, as in the figure below. The index of refraction of the slab is 1.59. Determine the number of internal reflections of the beam before it emerges from the opposite end of the slab. (Enter an integer for the total number of complete reflections. Assume 0 = 42.6º.) complete internal reflections 42.0 cm T 3.10 mm
- A ray of light travels through air until it strikes the interface between the air and another medium. The incident ray makes an angle of 0₁ = 39.0° with the normal, as shown in the figure below. Upon passage into the second medium, the ray is refracted, emerging from the interface at an angle 02 with respect to the normal. O 0₁ (a) Suppose that the second medium is fused quartz. What is the angle of refraction, 02 (in degrees)? (Enter your answer to at least one decimal place.) O Air Second medium (b) Suppose that the second medium is polystyrene. What is the angle of refraction, 02, in this case (in degrees)? (Enter your answer to at least one decimal place.) O (c) Finally, suppose that the second medium is ethyl alcohol. What is the angle of refraction, 02, in this case (in degrees)? (Enter your answer to at least one decimal place.)A laser beam strikes one end of a slab of material, as in the figure below. The index of refraction of the slab is 1.52. Determine the number of internal reflections of the beam before it emerges from the opposite end of the slab. (Enter an integer for the total number of complete reflections. Assume = 43.4°.) complete internal reflections Ꮎ 42.0 cm T 3.10 mmThe incident light ray enters water from air with an angle of incidence 0;= 40.8°. nair-1.00. nwater-1.33. Find the angle of reflection in degrees. Normal format with 3 SF.
- An object is placed 9.00 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, 21 mm from the center of the lens.a piece of wire is bent through an angle 0. the bent wire is partially submerged in benzene (index of refraction 1.50) so that, to a person looking along the dry part, the wire appears to be straight and makes an angle of 30.0° with the horizontal. determine the value of θ.H 2.0m A scuba diver training in a pool looks at his instructor as shown in the figure. The angle between the ray in the water and the perpendicular to the water is 0: 25°. (a) What angle does the ray from the instructor's face make with the perpendicular to the water at the point where the ray enters? Angle, : 34.190 (b) Find the height, H, of the instructor's head above the water, noting that you will first have to calculate the angle of incidence. Note the scuba diver perceives the instructor as though the incident ray never refracted.
- A ray of light is incident on the hypotenuse face of a 300-600-900 glass, right prism at an angle of 49.00 to the normal as shown in the diagram below. The index of refraction of the prism is nglass= 1.66. Find the angle, 84, relative to the normal, at which the light ray exits the back face of the prism. The medium surrounding the prism is air in which nair = 1. Normal 30° a. 74.50 b. 69.30 c. 64.60 O d. 56.70 O e. 52.10 0₁ = 49° n = 1.66 α 10₂ 60° B Back Face of Prism 04A catfish is 1.8 m below the surface of a smooth lake. (a) What is the diameter of the circle on the surface through which the fish can see the world outside the water? (b) If the fish descends, does the diameter of the circle increase, decrease, or remain the same? Assume that the index of refraction of water is 1.333.A paperweight is made of a solid glass hemisphere of index of refraction 1.60. The radius of the circular cross section is 5.0 cm. The hemisphere is placed on its flat surface, with the center directly over a 2.0 mm long line drawn on a sheet of paper. What length of line is seen by someone looking vertically down on the hemisphere? answer in mm