Impressionist painter Georges Seurat created paintings with an enormous number of dots of pure pigment, each of which was approximately 2.00 mm in diameter. The idea was to have colors such as red and green next to each other to form a scintillating canvas, such as in his masterpiece, A Sunday Afternoon on the Island of La Grande Jatte (figure below). Assume i = 420 nm and a pupil diameter of 4.50 mm. Beyond what distance would a viewer be unable to discern individual dots on the canvas?
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- Building contractors often install double-glazed windows to prevent thermal energy (heat) from entering or exiting a building. In addition to being effective insulators, such windows present interesting optical effects. glass In the figure, a double-glazed window consists of two identical panes of glass (ng = 1.46), each yg = 12.0 mm air thick, separated by an air gap of y, = 9.60 mm. If light incident on the glass makes an angle of o = 40.00° with respect to the glass, find the shift in path Ax as the light glass enters the room. Use na = 1.00 for the index of refraction of air. Ax = mmChapter 25: Problem 7: Consider the situation in the figure - a student diver in a pool and an instructor on the edge, outside the water. Since the indices of refraction of air and water are different, the light rays coming from the diver and the instructor are refracted at the surface, changing their apparent position with respect to each other. The diver sees the instructor at an apparent angle of θa = 26°, measured from the normal to the interface. Randomized Variables θa = 26° a) Find the height of the instructor’s head above the water in meters, noting that you will first have to calculate the angle of incidence (you can take the indices of refraction to be na = 1 for air and nw = 1.33 for water). b) Find the apparent depth of the diver’s head below water as seen by the instructor in meters, assuming the diver and his image both have the same horizontal distance along the surface of the water.The normal human eye has maximum visual acuity with a pupil size of about 3 mm. For larger pupils, acuity decreases due to increasing aberrations; for smaller pupils, acuity decreases due to increasing effects of diffraction. Ifyour pupil diameter is 2.0 mm, as it would be in fairly bright light, what is the smallest diameter circle that you can barely see as a circle, rather than just a dot, if the circle is at your near point, 25 cm from your eye? Assume the light’s wavelength in air is 600 nm and the index of refraction inside theeye is 1.33.
- A goldfish is swimming inside a spherical bowl of water having an index of refraction n = 1.333. Suppose the goldfish is p 10.4 cm from the wall of a bowl of radius |R| = 15.8 cm, as in the figure below. Neglecting the refraction of light caused by the wall of the bowl, determine the apparent distance of the goldfish from the wall according to an observer outside the bowl. 1.07 Your response differs from the correct answer by more than 10%. Double check your calculations. cm behind the glassOptical fibers are a central part of technology for rapid information transmission with a high level of efficiency. A new type of optical fiber is crafted with an index of refraction n = less than that of water in the vicinity of room temperature, where NH2O fact that n < nH20 potentially problematic if the fiber should be submerged? 1.25 = 1.33. Why is the O A. Total internal reflection would be frustrated, allowing loss of signal. O B. Internal reflection would actually be enhanced, so there is no problem. C. Electric eels might have free internet access.Impressionist painter Georges Seurat created paintings with an enormous number of dots of pure pigment, each of which was approximately 2.00 mm in diameter. The idea was to have colors such as red and green next to each other to form a scintillating canvas, such as in his masterpiece, A Sunday Afternoon on the Island of La Grande Jatte (figure below). Assume 1 = 420 nm and a pupil diameter of 4.90 mm. Beyond what distance would a viewer be unable to discern individual dots on the canvas? m SuperStock/SuperStock
- White light is incident onto a 30° prism at the 40° angle shown in the figure. Violet light emerges perpendicular to the rear face of the prism. The index of refraction of violet light in this glass is 2.0% larger than the index of refraction of red light. (Figure 1) Figure White light 40⁰ 30° 1 of 1 Part A At what angle does red light emerge from the rear face? Express your answer with the appropriate units. 6 = ☐ O μA Value Submit Request Answer < Return to Assignment Units Provide Feedback ?Building contractors often install double-glazed windows to prevent thermal energy (heat) from entering or exiting a building. In addition to being effective insulators, such windows present interesting optical effects. 62.0 mm In the figure, a double-glazed window consists of two identical of glass (ng panes 1.54), each yg thick, separated by an air gap of ya = 49.6 mm. Use na = 1.00 for the index of refraction of air. = If light incident on the glass makes an angle of = 40.00° with respect to the glass, find the shift in path Ax as the light enters the room. Ax = 42.36 Incorrect glass air glass mmLight traveling through medium 3 (n3 = 2.4) is incident on the interface with medium 2 (n2 = 2.0) at angle θ. If light does enter into medium 2 but no light enters into medium 1 (n1 = 1.6), what can we conclude about the range of values for θ?