Topic Displacement Vectors 2 3 Kinematics 4 Graphs 5 Energy 6 Power 7 Springs 8 Shadows 9 Field of Vision 10 Colors 11 Concave mirrors 12 Convex mirrors 13 Refraction 14 Lenses 15 Optical Power 1 Slides Minutes 9 27 13 39 13 39 10 30 10 30 5 15 4 12 3 9 7 21 3 9 7 21 4 12 5 15 10 30 6 18 Convex lenses are thicker in the middle and thus they converge light rays. Concave lenses are thinner in the middle and thus they diverge light rays. Click Just as with concave mirrors, the characteristics of the image formed by a converging lens depend upon the location of the object. There are six "strategic" locations where an object may be placed. For each location, the image will be formed at a different place and with different characteristics. We will illustrate the six different locations and label them as CASE-1 to CASE-6. Case-1: Case-2: Case-3: Case-4: Object Object Object Object at infinity just beyond 2 F’ at 2F’ between 2F’ and F’ Case-5: Object at F’ Case-6: Object within focal length (f) Click CASE-1 : Object at “infinity” Infinity simply means “far away”. No image Object NOTE Since the object is at “infinity”, all rays arrive parallel. No image formed (All rays pass through F) Click CASE-2 : Object Object just beyond NOTE In order to establish 2F’ an image point, all we need are two Note-1 intersecting rays. Note-2 A ray thatNote-3 comes parallel AAray that goes through ray that goesthrough throughF.the F’ is refracted vertex goes right through. is refracted parallel. Image Image is real (formed by refracted rays) Inverted (upside down) Reduced (smaller than object) Located between F and 2F This ray is extra in locating the image. Click CASE-3 : Object at 2F’ Object Again: In order to establish an image point, all we need are two intersecting rays. Image Image is real (formed by refracted rays) Inverted (upside down) Same size as object Located at 2F This ray is extra. Click CASE-4 : Object between 2F’ and F’ Object Image is real (formed by refracted rays) Inverted (upside down) Magnified (larger than object) Located beyond 2F Image Click CASE-5 : Object at F’ Object No image No image is formed (rays refract parallel) Click CASE-6 : Object is within focal length Image Image is virtual Object (formed by extended rays) Upright Magnified Located on same side as object Click Lenses Slide: 14. 1 An object whose height is 0.10 m is placed 1.0 m from the focal point of a converging lens whose focal length is 0.50 m. Determine the height of the image. Given Calculation of object distance Calculation of image distance The negative sign indicates inversion. Click Lenses Slide: 14. 2 Which of the following lenses corrects the eye defect known as myopia? A B C D Click Lenses Slide: 14. 3 Nearsightedness Which type of lens is used to correct hyperopia? Thicker in the middle than at the ends. A) Plane B) Plano-concave C) Concavo-convex D) Convex-concave Myopia (farsightedness) is corrected with a Concavo-concave lens. Thicker at the ends than in the middle. Click Lenses Slide: 14. 4 Lenses Slide: 14. 5 This ray should go thru F since it emerges parallel to the principal axis. parallel incident ray parallel refracted ray This ray should go thru V since it is refracted without being bent. This ray should go thru F since it arrives parallel to the principal axis. Click Lenses Slide: 14. 6 An object that is 4.0 cm tall is placed 7.0 cm from a converging lens that has a focal length of 2.0 cm. Calculate the height of the image formed by this lens. The negative sign indicates inversion and may be ignored. The image is 1.6 cm tall. Lenses Slide: 14. 7 As illustrated below, an object is placed infront of a diverging lens. Image Which of the following statements correctly describes the characteristics of the image formed. A) Virtual, upright, smaller and on the same side as the object B) Real, upright, smaller and on the same side as the object C) Virtual, inverted, larger and on the opposide side of the object D) Real, inverted, larger and on the opposide side of the object Click Lenses Slide: 14. 8 Center of lens, V F’ V F Converging lens Draw a ray connecting the object to the image in order to establish the center of the lens, V. Lenses Slide: 14. 9 Karen wants to draw a mural of her dog on a wall. Using a projector she displays a picture of her dog on the wall. The focal length of the projector lens is 35 mm. She needs to position the projector so that the real image of the picture of the dog has a magnification of 40. How far from the wall must the projector lens be? Note that since the image is real, it is inverted and the magnification factor is negative. Lenses Slide: 14. 10 Construct a ray diagram to locate the image formed by the lens illustrated below. This is the symbol for a converging lens Top (object) point Bottom (image) point Image Bottom (object) point Top (image) point Click … and good luck!