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$Math Alignment Project - Grand Erie District School First Class Web ...$

D26 Inquiry ActivityIdentifying the Properties of ImagesSkills References 2, 8SKILLS YOU WILL USE■ Interpreting data/information toidentify patterns or relationships■ Identifying sources of errorQuestionHow can you use ray diagrams to determine theproperties of images formed by convex lenses?Materials & Equipment• 3 sheets of legal paper• sharp pencilProcedure• ruler• calculator1. Make an observation table with the rows andcolumns shown at the bottom of this page. Namethe table “Convex Lens Focal Length 4.0 cm.”2. Turn a piece of legal paper sideways. Use theruler to draw a horizontal line across the middle ofthe paper. This is the principal axis of the lens.3. At the midpoint of the principal axis, draw aperpendicular vertical line that is 5.0 cm aboveand below. This is the axis of symmetry of thelens. Label the axis “Convex Lens.”4. Measure 4.0 cm to the left of the vertex along theprincipal axis, and place a dot. This is thesecondary focus, F’, of the lens. Do the samething on the other side of the lens for the primaryfocus, F. Label both focuses.5. Place two more dots at twice the focal length, andlabel them 2f’ and 2f accordingly.6. Repeat steps 2 to 5 twice to create a total of threeconvex lens diagrams.7. Using one of the convex lens diagrams, draw avertical arrow at d oas indicated in the “ConvexLens” table to the height h o.8. Complete the ray diagram to produce the image ofthe arrow at the appropriate place on the diagram.Label the object and the image.9. Measure and record d iand h i. Then, finish thenext two ray diagrams for convex lenses using thevalues in the next two rows of the table.Analyzing and Interpreting10. Write a general statement that relates the size,orientation, and type of image to the object for aconvex lens when:(a) d ois greater than 2f(b) d ois between 2f and f(c) d ois less than fSkill Practice11. Use the data you collected to interpolate wherethe object would have to be placed so that themagnification of a convex lens would be exactly 1.12. Calculate d iand h iusing the thin lens andmagnification equations for each set of data in thetable. Compare these values to the ones youobtained using ray diagrams. Do they agree? Ifnot, suggest reasons why the values are different.Forming Conclusions13. Describe how you can use ray diagrams todetermine the properties of images formed byconvex lenses.Object Data Image Characteristics Image Data Calculated o(cm) h o(cm) Side ofLens10.0 2.06.0 2.02.0 2.0Real orVirtualSizeUpright orInvertedd i(cm) h i(cm) d ih iRay diagrams model the behaviour of light in mirrors and lenses.461
11.3 CHECK and REFLECTKey Concept Review1. (a) What type of lens produces a real image?(b) What type of lens produces a virtualimage?2. A converging lens produces a real image10 cm from the lens when the object is placed30 cm from the lens.(a) What is the focal length of the lens?(b) What is the magnification of the lens?3. An object is placed at each of the followingdistances from a converging lens. For eachlocation, draw a ray diagram and state theproperties and location of the image. (Hint:Choose a convenient value for f.)(a) 2.5 f(b) 1.5 f(c) 0.75 f4. Suggest one use for each lens set-up inquestion 3.5. What is one use for a diverging lens?6. An object 1.2 cm high is placed 4.0 cm froma converging lens that has a focal length of3.0 cm.(a) What is the location of the image?(b) What is the size of the image?7. A converging lens is placed 12 cm from a wallchart. The focal length of the lens is 15 cm.(a) What is the location of the image?(b) What is the magnification?8. A photographer uses his camera to view somedeer in a field. If the image of the deer isproduced 120.14 mm from a convex lens thathas a focal length of 120 mm, how far awayare the deer?Question 8Connect Your Understanding9. At what distance from a convex lens must anobject be placed so that the image is the samedistance from the lens?10. A student examines a ladybug using amagnifying glass with focal length of 5.0 cm.He holds the magnifying glass 3.5 cm abovethe ladybug. What is the magnification?11. A photographer uses a telephoto lens to take aphotograph of a 50-m high building that is1000 m away. The image on the negative is2.0 cm high. What is the focal length of the lens?12. How can you find a good approximation ofthe focal length of an unknown concave lensby using an unknown convex lens as astarting point?Reflection13. Why do you think it is important tounderstand how light travels through lenses?14. What analogy or model could you use toremember the differences between virtual andreal images?For more questions, go to ScienceSource.462 UNIT D Light and Geometric Optics
Page 1 and 2: 11Ray diagrams model the behaviour
Page 3: 11.1MirrorsHere is a summary of wha
Page 6 and 7: Using the Law of ReflectionThe law
Page 8 and 9: Concave MirrorsA concave mirror, al
Page 10 and 11: Solar OvensA solar oven, also calle
Page 12 and 13: Example Problem 11.3An electron mic
Page 14 and 15: Uses for Convex MirrorsIf you were
Page 16 and 17: D14 Skill Builder ActivityDrawing R
Page 18 and 19: D15 Inquiry Activity (continued)Fig
Page 20 and 21: 11.1 CHECK and REFLECTKey Concept R
Page 22 and 23: We use fibre optics systems to tran
Page 24 and 25: A ray of light is electromagnetic r
Page 26 and 27: How Light RefractsYou can picture t
Page 28 and 29: Snell’s LawThe phenomenon of refr
Page 30 and 31: At a certain angle, called the crit
Page 32 and 33: D19 Inquiry ActivityIndex of Refrac
Page 34 and 35: 11.2 CHECK and REFLECTKey Concept R
Page 36 and 37: Night vision goggles use lenses to
Page 38 and 39: Concave LensesA diverging lens is s
Page 40 and 41: Forming a Real ImageConvex lenses a
Page 42 and 43: Keep in mind the following points w
Page 44 and 45: Example Problem 11.11A camera with
Page 46 and 47: D24 Quick LabFocal LengthPurposeTo
Page 50 and 51: SCIENCEeverywhereSelf-AdjustingGlas
Page 52: 18. A student looks at the letters

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