UT_Austin_Invitational_2023_Optics EXAM

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Northwestern University *

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130-B

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Physics

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Apr 3, 2024

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University of Texas at Austin 2023 Invitational Optics B/C Exam Directions: • This is a class set, DO NOT WRITE • Write all answers on the answer sheets; any marks elsewhere will not be scored. If additional space is needed on a question, clearly mark the question number and your team number on the top left of the page and attach to your test. • There is no penalty for wrong answers. Answer as many questions as possible, even if you aren’t sure if you’re correct. For questions with parts that build on one another, points will be awarded for correct answers on parts regardless of previous part completion. • Units are required whenever giving a numerical answer. Don’t worry about significant figures. • Good luck on the test! Section 1 2 3 4 5 Total Total 20 24 17 15 51 127 Score Vidit Pokharna , vidit@gatech.edu Page 1 of 17

Fact or Fiction: The Optical Edition Circle T if true or F if false for the following statements 1.) (2 points) In the ray approximation of light, a ray is an actual physical line that represents the path of a light beam. T F 2.) (2 points) Light exhibits a dual nature, displaying characteristics of both a particle and a wave, depending on the context. T F 3.) (2 points) In the case of a concave mirror, if the object is placed between the focal point and the mirror, the image formed is virtual and magnified. T F 4.) (2 points) Due to atmospheric refraction, the stars seem to be higher in the sky than they actually are. T F 5.) (2 points) A plane mirror forms a real image of the objects placed in front of it. T F 6.) (2 points) A non-dispersive prism can separate white light into its component colors by re- fracting each color or wavelength of light at a slightly different angle. T F 7.) (2 points) Coherent light sources can produce interference patterns, while incoherent light sources cannot. T F 8.) (2 points) Incoherent light exhibits a high degree of monochromaticity, as compared to that of coherent light. T F 9.) (2 points) The human eye’s crystalline lens has the ability to change its focal length to focus on objects at varying distances, a phenomenon known as ”accommodation.” T F 10.) (2 points) Rod cells in the human retina are primarily responsible for color vision, while cone cells are responsible for detecting variations in brightness and contrast. T F Page 2 of 17

Optics Lingo Bingo Write the name of the term that best matches the definition 11.) (2 points) An optical phenomenon that occurs when light rays pass through the edges and center of a lens or mirror focus at different points, resulting in a blurred or distorted image. Answer: 12.) (2 points) A type of reflection that occurs when light reflects off a smooth surface and the reflected light rays are parallel. Answer: 13.) (2 points) A perfectly diffusive surface that reflects incident light uniformly in all directions, regardless of the angle of incidence Answer: 14.) (2 points) A phenomenon in color perception where two objects appear to have the same color under one light source but different colors under another. Answer: 15.) (2 points) A small depression in the retina that is responsible for sharp central vision. Answer: 16.) (2 points) Four principal points associated with a lens or mirror - the two focal points and the two principal points. Answer: 17.) (2 points) Pairs of colors that, when combined, cancel each other out to produce a grayscale color. Answer: Page 3 of 17

18.) (2 points) A state in which atoms or molecules remain temporarily after being excited, before returning to their ground state by emitting a photon. Answer: 19.) (2 points) A tool for which the primary purpose is to reflect light or radiation back to its source regardless of the direction of the incident light. Answer: 20.) (2 points) The principle that states each point on a wavefront acts as a source of wavelets, which propagate forward at the same velocity as the original wave. Answer: 21.) (2 points) The area of the retina that contains the highest concentration of cones, responsible for high-acuity color vision. Answer: 22.) (2 points) The lens of the eye changes its shape through the process of accommodation, controlled by the action of the muscles. Answer: Page 4 of 17

Mix and Match Mayhem Provide the answers for the following questions 23.) (6 points) Pair the following materials with their respective indices of refraction. While the exact values may differ, select the value that is the closest match to the material’s index of refraction. 1.00, 1.3477, 1.36, 1.49, 1.52, 2.42 Air, Acrylic, Crown glass, Diamond, Ethanol, 10% Glucose Solution in Water a) Air (1 point) Answer: b) Acrylic (1 point) Answer: c) Crown glass (1 point) Answer: d) Diamond (1 point) Answer: e) Ethanol (1 point) Answer: f) 10% Glucose Solution in Water (1 point) Answer: 24.) (8 points) Answer the following questions on color theory. a) (1 point) In which model does mixing all three primary colors at full intensity yield black? Answer: Page 5 of 17

b) (1 point) In which model does mixing all three primary colors at full intensity yield white? Answer: c) (1 point) What color results from the mixture of cyan and yellow light? Answer: d) (1 point) What color results from the mixture of red and blue light? Answer: e) (1 point) What color results from the mixture of blue and green light? Answer: f) (1 point) What color results from the mixture of cyan and magenta light? Answer: g) (1 point) What color results from the mixture of red and green light? Answer: h) (1 point) What color results from the mixture of yellow and magenta light? Answer: Page 6 of 17

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