Homework 9

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Louisiana State University *

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MISC

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Physics

Date

Dec 6, 2023

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docx

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5

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Homework 9 1. A plate glass window (n=1.5) has a thickness of 4.0 mm. How long does it take light to pass perpendicularly through the plate? 2. In a certain time, light travels 4.73 km in a vacuum. During the same time, light travels only 3.53 km in a liquid. What is the refractive index of the liquid? 3. A layer of oil (n=1.45) floats on an unknown liquid. A ray of light originates in the oil and passes into the unknown liquid. The angle of incidence is 51.6 degrees, and the angle of refraction is 57.6 degrees. What is the index of refraction of the unknown liquid?
4. Amber (n=1.546) is a transparent brown-yellow fossil resin. An insect, trapped and preserved within the amber, appears to be 2.8 cm beneath the surface when viewed directly from above. How far below that surface is the insect actually located? 5. A beam of light is traveling in air and strikes a material. The angles of incidence and refraction are 54.8 degrees and 42.5 degrees, respectively. Obtain the speed of light in the material. 6. A point source of light is submerged 2.1 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? Take the refraction index of water to be 1.333.
7. The drawing shows a crown glass (n=1.523) slab with a rectangular cross section. As illustrated, a laser beam strikes the upper surface at an angle of 60.0 degrees. After reflecting from the upper surface, the beam reflects from the side and bottom surfaces. (a) If the glass is surrounded by air, determine where part of the beam first exits the glass, at point A, B, or C. (b) Repeat part (a), assuming that the glass is surrounded by water (n=1.333). 8. The drawing shows a crystalline slab (refractive index 2.008) with a rectangular cross section. A ray of light strikes the slab at an incident angle of 1 = 38.0 degrees, enters the slab, and travels to point P. This slab is surrounded by a fluid with a refractive index “n.” What is the maximum valve of n such that total internal reflection occurs at point P?
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