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Ray Optics Physical Science 101 11/07 Name ______________ Section ________ Partner’s Name _____________________ Purpose: The purpose of this lab is to study the laws of reflection and refraction for flat surfaces and to find out how converging lenses and converging mirrors can be used to form real images. Equipment: ceiling tile, light source, 5 x 8 note card, object light, frosted glass, paper, plane mirror, prism, protractor, straight pins, and thin lens Part 1 Images from a Plane Mirror i) to understand what is meant by the term optical image. Procedure: Locate the position of the image of a colored thumb tac in front of a mirror by following the steps below. 1. Place a sheet of paper on the ceiling tile. Put the plane mirror on the paper with the object thumbtack 2 to 3 cm in front of the mirror. Don’t push the thumbtack in all the way so you will be able to see the center pin of it when viewing from the side. Draw a line outlining the surface of the mirror on the paper and a circle around the object (thumbtack). 2. Place an alignment pin anywhere a little to the left of the object and closer to the mirror. Look into the mirror at the image of the object thumbtack along a line of sight through the first alignment pin on the left (see head position on left side of figure below). Place another alignment pin along your line of sight so that it, the first alignment pin, and the image of the thumbtack are all along a straight line (see figure below). Repeat this process for two alignment pins on the right side of the object pin. –1– Ray Optics Figure 2 11/07 Mirror and Alignment Pins 3. Remove the mirror from the paper. 4. Draw a straight line through the left alignment pins that extends behind the mirror. Draw a second straight line through the right alignment pins that also extends behind the mirror. Make a circle where these two lines intersect and label this the image. 5. Measure the distance to the image from the reflective surface of the mirror, di, and the distance to the object from the mirrors reflective surface, do. di = ________________ do = ________________ Questions 1. Are di and do equal? 2. If you stand 10 ft in front of a plane mirror, how far away will your image appear to be from you? –2– Ray Optics 11/07 3. Real images are formed when the rays of light really come together on the screen and virtual images are where the light appears to come from. Is the image formed by a plane mirror real or virtual? 4. In you walk towards a mirror with a speed of 2 m/s how fast do you and your image approach each other? ii) Periscope. Arrange two mirrors as shown in the top view below (the grey side is the reflecting side of the mirror. Prediction: When viewing through this arrangement as shown what will you see? Test your Prediction: When viewing through this arrangement what do you see? http://cs.clark.edu/~mac/PHSC101/images/ABCD1line.JPG With different colors of line types (solid, dotted, dashed) draw rays in the figure above from each letter that you see reflecting from each mirror to the viewing area near your eyes. Is the right to left order reversed or maintained with the periscope? –3– Ray Optics 11/07 Part 2. Refraction through a piece of glass. i. Viewing your thumb. Lay a thick piece of glass flat side down on a piece of paper. Look at your thumb or figure through the glass as shown in the top view at left below. Top view Side view Describe what you observe. Use the sketch below to show the position of your thumb as viewed through the glass relative to that observed through the air above the glass plate. ii. More careful measurements. Use a pencil to trace around the edges of the glass. Place two alignment pins on one side of the glass so the line connecting these makes an angle (1) of about 50 to 60 degrees with the normal line to the edge of the glass. (see dark circles below in the top view below.) Place two additional alignment pins on the other side of the glass so that the line connecting these two also lines up with the apparent line of the first two as viewed through the glass. (see light circles below.) –4– Ray Optics 11/07 1=____________ 2=____________ 3=____________ 4=____________ Complete the figure above on you paper by drawing 1) a line through the first two alignment pin points to point a on the glass; 2) a line through the last two alignment pin points to point b on the glass; 3) a line from a to b 4) and finally the two line normal to the glass at points a and b. With a protractor carefully measure 1, 2, 3, and 4 and record above. The index of refraction, n, for glass can be calculated using Snell’s law. sin( 1) = n sin ( 2) or n= sin(q1)/sin(q2)= You will need a scientific calculator to do this. If you don’t have on try the online calculator at. http://my.hrw.com/math06_07/nsmedia/tools/Sci_Calculator/Sci_Calculator.html n =_____________________ The index of refraction describes how much faster light travel in a vacuum than in the glass. The speed of light in a vacuum is 300,000,000 m/s. What is the speed of light in this glass? Speed of light in glass= _________________________ –5– Ray Optics Part 2 11/07 Light Refraction through a Prism Purpose: to show that white light is composed of a spectrum of colors and that each color of light interacts with the prism material differently. When light travels through a transparent object its speed is reduced relative to its speed in a vacuum. This change in speed can cause bending or refraction of light. When you look into a pool of water things appear at different positions than they actually occupy. The light coming to your eye from the underwater object is bent. A very ‘colorful’ phenomena has to do with the fact that different colors of light have different speeds in transparent objects. The following steps will help you determine what color of light moves fastest, slowest, and how this determines what rainbows look like. The index of refraction is related to the refraction angle of the incident light beam. The greater the angle of refraction, the greater the index of refraction. Procedure: 1 Shine a ray of light from . the light source through . a prism. . The . figure to the right is a top view looking down from above the table. 2. Hold a card up on the other side of the prism and adjust the prism until you can see a rainbow on the card. 3. Sketch below the rainbow and indicate the colors. 1.What color is refracted through the largest angle by the prism? Smallest? 2.What color has the largest index of refraction? Smallest? 3. Which color travels faster in glass? –6– Ray Optics 11/07 GEOMETRIC OPTICS FOCUSED ENLIGHTENMENT “RAYS-ED” IMAGES The first investigation concerns the angle between light rays from an object which reach a detector. Below is a sketch of an eye and the silhouette of the disk. Light rays from the edges of the disk to the eye are shown. What happens to the angle between the rays as the disk moves away from the eye? Suppose the disk were a mile away, what would the angle between the rays be like? If the disk were a thousand miles away? On the Sun (93 million miles away)? If the rays were approximately parallel, how far away would the disk be? –7– Ray Optics 11/07 Place the multi-slit mask in the ray box and adjust the slide on the box to make the rays parallel. This is most simply done by shining the rays along the lines on the graphs. We will use this configuration for the next few experiments. LENS Place the ray box on the left and the biconvex lens on the silhouette on the graph. With the parallel rays from the left passing through the lens, sketch where the light rays go. Measure the distance from the center of the lens to the point where the light rays converge (+ if to the right of the lens, - to the left). length = ______________ cm. –8– Ray Optics 11/07 LENS As before, place the lens on the silhouette with the light coming from the left. Draw in lines where the light rays go. If the actual rays don’t cross at a point, extend them back with dotted lines to find a crossing point. As before, measure the length from the lens center to the crossing point. Use a negative sign if the intersection is for the dotted lines. length = _____________ cm. –9– Ray Optics 11/07 REFLECTIONS ON MIRRORS With the light from the left, place the curved mirror on the curves, reflective side to the left, and sketch the light rays, as before. Measure the distance from the center of the mirror to the intersection point, recording a – sign if the intersection is behind the mirror. length = _____________ cm. length = _____________ cm. – 10 – Ray Optics 11/07 – 11 –