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Mapúa Institute of Technology PHYSICS 13 Problem Set on Light and Geometric Optics

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H ASSIGNMENTS Review Test Submission: Problem Set on Light and Geometric Optics Review Test Submission: Problem Set on Light and Geometric Optics User SEJALTINO DIAS QUINTAS Course GENERAL PHYSICS 4 Problem Set on Light and Geometric Optics 5/29/16 1:24 PM Test Started Submitted 6/3/16 3:27 PM Status Completed Attempt Score 22 out of 30 points Time Elapsed 122 hours, 3 minutes Instructions Read each question carefully and choose the letter of your best answer. Good luck :) Results All Answers, Submitted Answers Displayed Question 1 In vacuum, light wave MEILI has twice the frequency of light wave BU HAO. The wavelength of light wave MEILI is ____________ that of light wave BU HAO. B. twice Answers: A. half B. twice C. equal to D. four times E. one¬fourth Question 2 Bluish lights (λvacuum = 510 nm) is incident onto a transparent material with refractive index n = 2. What will be its wavelength and frequency inside the material? My Institution S Courses EJALTINO DIAS Community QUINTAS 0 out of 1 points 1 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_cont… 2/14 D. 255 nm, (3/510) x 1017 Hz Answers: A. 510 nm, (3/1020) x 1017 Hz B. 510 nm, (3/510) x 1017 Hz C. 510 nm, (3/255) x 1017 Hz D. 255 nm, (3/510) x 1017 Hz E. 255 nm, (3/255) x 1017 Hz Question 3 For the next three numbers, consider an electromagnetic wave traveling in a dielectric with electric field E = (c/2) cos (4kx + ωt) [unit] j. Note: k is the wave vector in vacuum. Which of the following best represents the directions of the wave propagation (S) and the magnetic field (B) of the wave? B. S: ¬ i; B: ¬ k Answers: A. S: ¬ i; B: + k B. S: ¬ i; B: ¬ k C. S: + i; B: + k D. S: + i; B: ¬ k E. S: + j; B: ¬ k Question 4 What are the values of the wave number and angular frequency in the dielectric? A. 4k; ω Answers: A. 4k; ω B. 4k; ω/4 C. 4k; 4ω D. k; ω/4 E. k; ω Question 5 What are the speed of light in the dielectric and the refractive index of the material? Note: c is the speed of light in vacuum 1 out of 1 points 1 out of 1 points 0 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_cont… 3/14 D. v = c/2; n = 2 Answers: A. v = 4c; n = 1/4 B. v = 2c; n = 1/2 C. v = c; n = 1 D. v = c/2; n = 2 E. v = c/4; n = 4 Question 6 Pepito, studying, wondered loudly: “What is the refractive index of wine?” His pet goldfish replied: “I do not know. But the amplitudes of E¬field and B¬field in my house are already 2π N/C and π x 10¬8T, respectively. So it is time you clean my bowl!” What is the index of refraction of the liquid in the goldfish’s bowl? E. 3/2 Answers: A. π B. 3 C. 5 D. 2/3 E. 3/2 Question 7 A beam of light propagating through ginseng tea (ntea = 4/3) strikes a glass plate (nglass = 3/2) at 60° incident angle and gets reflected. What is the angle of reflection and speed of the reflected beam? Note: c = speed of light in vacuum E. 60°; 2c/3 Answers: A. 30°; c/2 B. 30°; 3c/4 C. 30°; 2c/3 D. 60°; 3c/4 E. 60°; 2c/3 Question 8 1 out of 1 points 0 out of 1 points 1 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_cont… 4/14 From afar, Rudy, wants to hurt Mahar, fires his super uber lethal yellow laser at him who is swimming underwater. If he wants to make a sure hit on Mahar, where should he aim? D. Directly at the apparent image of Mahar Answers: A. Directly downward B. Directly upward C. Below the apparent image of Mahar D. Directly at the apparent image of Mahar E. Above the apparent image of Mahar Question 9 Light coming from air is incident normally upon one face of a glass prism with an index of refraction n. The light is totally reflected on the left side. What is the minimum value n can have? D. Answers: A. B. C. D. 0 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_cont… 5/14 E. Question 10 Light beam coming from a semi¬transparent tikoy (ntikoy = 5/3) strikes the tikoy¬tea interface at 600 incident angle with ntea = 4/3. Determine the angle of transmission, θtrans, of the light beam in the tea? E. There is no transmission. Answers: A. B. C. D. E. There is no transmission. Question 11 Which of the following statements is/are TRUE about the image of a real object placed in front of a plane mirror? I. The image is virtual II. The image formed is upright III. The image formed can be real IV. The magnitude of the image distance is always the same distance as the object distance formed D. I, II and IV Answers: A. I only 1 out of 1 points 1 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_cont… 6/14 B. II only C. III only D. I, II and IV E. I, II, III and IV Question 12 Two plane mirrors are placed adjacently with each other forming an angle equal to θ. If a gummy bear is imaged by these mirrors, 2 virtual gummy bear images are formed. What is the angle between these adjacent mirrors? C. 600 Answers: A. 300 B. 450 C. 600 D. 900 E. 1200 Question 13 Aang, frozen inside a big chunk of ice, saw Katara trying to drill the ice. He got so excited that he just couldn’t hide it. How will Katara appear with respect to Aang? D. Katara appears inverted Answers: A. Katara appears closer to Aang B. Katara appears farther to Aang C. Katara appears exactly where he sees her D. Katara appears inverted E. Katara appears fat Question 14 Consider a concave mirror with a very large radius of curvature, R = 100m. A very small object (with height h = 1mm) is placed in front of the mirror, so = 2mm. Which of the following statements best describes the position of the image formed by the object? 0 out of 1 points 0 out of 1 points 1 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_cont… 7/14 B. Approximately 2 mm in the opaque side Answers: A. Approximately 2 mm in the incidence side B. Approximately 2 mm in the opaque side C. Approximately 20 mm in the incidence side D. Approximately 2 mm in the opaque side E. NO image is formed Question 15 From directly above, you are watching a fish swim 1.83 meters beneath the surface of a calm lake (n = 1.33). The fish seem to be _______ m beneath the surface. B. 1.83/1.33 Answers: A. 1.83 B. 1.83/1.33 C. 1.33/1.83 D. 1.83/2.66 E. 2.66/1.83 Question 16 Garfield submerged himself under water (nwater ≈4/3), 1 meter deep, in a circular tub (radius = 2 meters) to hide from a bat flying directly above in air. Describe what does the bat sees. B. A scared wet cat (3/4)m below the air¬water interface Answers: A. A scared wet cat (4/3)m below the air¬water interface B. A scared wet cat (3/4)m below the air¬water interface C. A scared wet cat (8/3)m below the air¬water interface D. A scared wet cat (6/4)m below the air¬water interface 1 out of 1 points 1 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_cont… 8/14 E. A scared wet cat (3/4)m above the air¬water interface Question 17 A not¬so golden fish is 24 cm from the front surface of a water¬filled (ntapwater = 1.5) spherical fish bowl with radius of 12 cm. What is the apparent position of the fish to an observer outside the bowl? E. ¬48 cm Answers: A. 12 cm B. ¬12 cm C. 24 cm D. ¬24 cm E. ¬48 cm Question 18 Four pictures of Nemo and Dorry were taken using an underwater camera and with the photographer stationed on one spot. He used different lenses with unknown focal lengths. Which picture could have resulted from using a lens with the longest focal length? E. E Answers: A. A B. B C. C D. D E. E 1 out of 1 points 0 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_cont… 9/14 Question 19 A beam of parallel light rays coming from a distant laser in air is incident on a solid transparent sphere with radius R and index of refraction n. If a point image is produced at the back of the sphere, what is the index of refraction of the sphere? C. 2.0 Answers: A. 1.0 B. 1.5 C. 2.0 D. 2.5 E. 3.0 Question 20 Consider a real object that is placed in front of a concave mirror. Let the mirror’s focal length (absolute value) be f. The image of the real object that is placed in front of a concave mirror will vanish when the object distance is ____. D. so = R/2 Answers: A. so = R B. so = 2R C. so = R/4 D. so = R/2 E. so = 4R Question 21 Consider a concave mirror with a radius of curvature, R = 10 cm. Describe the image of an elf placed 15 cm (image distance, s) in front of 1 out of 1 points 1 out of 1 points 1 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_co… 10/14 it. Selected Answer: B. real, inverted Answers: A. real, upright B. real, inverted C. virtual, upright D. virtual, inverted E. It cannot be determined because Penguin is not standing. Question 22 A real object placed at a distance 10 cm in front of a convex mirror with a focal length of ¬10 cm. The lateral magnification of the image formed is _______. B. +1/2 Answers: A. ¬ 1/2 B. +1/2 C. ¬ 1 D. +1 E. +2 Question 23 When an object is placed 6cm in front of a converging lens, the inverted image is half the size of the object. What is the focal length of the lens? A. 2 cm Answers: A. 2 cm 1 out of 1 points 1 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_co… 11/14 B. 3 cm C. 4 cm D. 6 cm E. Infinite Question 24 A real object is placed 5 cm from a concave lens with focal length of ¬10cm. The image is ______. E. virtual, upright and reduced Answers: A. real, inverted and reduced B. real, inverted and magnified C. real, upright and magnified D. virtual, upright and magnified E. virtual, upright and reduced Question 25 For the next two questions, consider an object placed in front of a convex lens and near a concave lens shown in the figure below. What is the location of the final image measured from the concave lens? C. 20 cm to the left of the concave lens Answers: A. 10 cm to the left of the concave lens B. 10 cm to the right of the concave lens C. 20 cm to the left of the concave lens D. 20 cm to the right of the concave lens 1 out of 1 points 1 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_co… 12/14 E. at infinity Question 26 0 out of 1 points What is the height of the final image if the height of the object is 3 cm? C. 4 cm Answers: A. 1 cm B. 2 cm C. 4 cm D. 6 cm E. 8 cm Question 27 For the next three numbers, consider an object O placed 30cm in front of a concave lens (f1 = ¬15cm) and a convex lens (f2 = 15cm). The distance between the two lenses is 20cm The distance of the first image from the concave lens is __ thus the image is ____ . D. 10¬cm; virtual Answers: A. 10¬cm; real B. 15¬cm; real C. 30¬cm; real D. 10¬cm; virtual E. 15¬cm; virtual Question 28 The first image will now be the object to the second lens. The image formed by this object to the second lens will now be final image of the lens system. The final image is (choices: magnified, reduced, same size) and (choices: inverted, upright) relative to the original object. 1 out of 1 points 1 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_co… 13/14 A. Reduced; inverted Answers: A. Reduced; inverted B. Reduced; upright C. Magnified; inverted D. Magnified; upright E. Same size; inverted Question 29 Compute for the total magnification (MTOT). (Hint: MTOT = M1 x M2, where M1 and M2 are the magnifications from the first and second lens respectively.) D. ¬ 1/3 Answers: A. +3 B. +1/3 C. +1 D. ¬ 1/3 E. ¬ 3 Question 30 A very far object is incident to a larger concave mirror with radius of curvature R = 20cm. The rays are then reflected towards an unknown smaller mirror that later forms a final image located at the vertex (V) of the larger concave mirror. The distance between mirrors is 5¬cm. Describe the smaller mirror. Selected Answer: E. Plane mirror with R approaching infinity 1 out of 1 points 1 out of 1 points 6/3/2016 Review Test Submission: Problem Set on Light and Geometric ... https://mapua.blackboard.com/webapps/assessment/review/review.jsp?attempt_id=_554218_1&course_id=_15603_1&content_id=_203827_1&return_co… 14/14 Friday, June 3, 2016 3:27:35 PM PHT Answers: A. Mirror with its curve part facing the left and R = 5¬cm B. Mirror with its curve part facing the left and R = 2.5¬cm C. Mirror with its curve part facing the right and R = 5¬cm D. Mirror with its curve part facing the right and R = 2.5¬cm E. Plane mirror with R approaching infinity ← OK

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