More about Refraction Today’s Goal: Making sense of the Law of Refraction; Investigating a prism Materials laser pointer prism thick glass piece glass slide light station single slot mask and triple slot mask beam-blocker card viewing screen various bottles & beam observation sheets from previous activity plastic cube filled with water Discussion > Here is a top view picture of a mirror and an object "x". From some places the object can be seen in the mirror; from other places it cannot. By drawing lines representing the paths taken by light, determine the region in which the object can be seen reflected in the mirror. > There is also an object "y" in the picture. Find the image of "y" in the mirror, and use this to find the places from which "y" is visible reflected in the mirror. > Use the picture below to explain how Trish can sometimes count the same fish twice (this is a view from above, and the dark lines represent the glass walls of the fish tank). 17- 1 1. Set up the light station with the single slot mask. Adjust it to make a narrow, bright beam across the white screen on the table top. Place the square container in the beam, so that light goes in one side and comes out the opposite side. Observe how the beam is affected when you turn the container. Draw lines on the diagrams to record what you observe. Also draw (and label) reflected beams. 2. Suppose there is an object under water. We will see the object when light coming from the object reaches our eye. In the drawing at right, the lines coming from the object represent light. Predict what happens to the light beams when they leave the water by continuing the lines. 3. We tell where an object is by noting the direction of the light coming from it. Where does the underwater object of Q2 seem to be, to observers above the container? Indicate this on the diagram. 4. Explore the water-filled flat-sided bottle in the light beam made by the light station. 17- 2 5. Use Beam Observation Page 1 to record what happens to a light beam passing through the upright bottle from various angles. The page has space for three observations. For each space A, B and C: Move the paper into the beam so it is centered on the line Stand the bottle in the box Draw on the paper the path of the light beam when it leaves the bottle. 6. Explain why the light beam changes path as you go from A to B to C, using the result of your previous investigations. 7. Using the other two water bottles, oval and round, explore each one in the beam, and explain how the light beam changes path. 8. Using the three-slot mask on the light station, explore how each of the three different water filled bottles affects the light beams. Using Beam Observation Page 2, stand each bottle in its place. For each bottle draw on the paper the three light beams – before and after the bottle. Draw in how the light beam went from where it entered to where it left the bottle. Explain why it went the way it did, using the results of your previous investigations. 17- 3 9. Nine students are trying to predict what will happen when a light beam encounters a square plastic block. Some light will be reflected when a beam encounters a surface, and sometimes part of the beam will go through the surface. In the diagrams some of these beams have been omitted because they are faint. But not all of these diagrams can be right, since they all start the same way, and light follows a definite path. According to what you observed today, which ones are possible? 10. A bottle of water makes a shadow, even though the plastic and the water are transparent. Explain how this works. A sketch might be useful. Check #1: Discuss about your findings with an instructor. 17- 4 11. Place the triangular prism so that it is standing vertically in the path of the beam from the light station, so that the beam hits one face (not a corner). There are reflected beams and refracted beams, and even beams that are both reflected and refracted. Record your observations. 12. Let’s try to figure out how light behaves in a prism. Here is a close-up (top view) of your prism. The incident light beam is already drawn in. Follow the procedure below to figure out what light does in the prism. Useful tip: Look at one surface at a time, and don’t panic! It may help to rotate the paper so that the edge you are dealing with is horizontal. At almost every surface there is both a reflected and a refracted beam - in other words, the beam splits at every surface, just as you observed with the water cube and the glass slide. (Take this one step at a time, carefully!) a) Draw the beam that reflects off of surface A, away from the prism. b) Draw the (dotted) normal line and then the transmitted beam through surface A, and extend it to and end it at surface B. 17- 5 c) Draw the (dotted) normal line and then the transmitted beam through surface B, and away from the prism. d) A beam reflects off of surface B inside the prism - draw this beam and extend it to and end it at surface C. e) Draw the (dotted) normal line and then the transmitted beam through surface B, and away from the prism. f) There are other reflected and refracted beams that keep going, but they’re pretty dim and weak, so we won’t draw them. 13. If you aim the laser pointer back in along one of the outgoing beams, it will come out in several directions. But one of these hits the light station. Explain why. 14. As you turn the prism, one of the beams becomes colored and then abruptly disappears, while another becomes brighter. What paths are these beams taking as they go through the prism? Check #2: Show your prism diagram to an instructor, and show your instructor that light going into a prism actually behaves the way you predicted. Then discuss Q13 and Q14. 15. In diagram A, below, show what will happen to a laser beam directed towards a wedge made of some material. In diagram B, show what happens to three parallel laser beams. 17- 6 16. In diagram B, the light beams cross somewhere (“the focal point”) after going through the six-sided object. Suppose instead there were a light source at the focal point, emitting light towards the six-sided object. What would happen to these light beams? 17. If we want every parallel beam to go to the same focal point, we need an object with a curved surface (a lens). On this diagram, continue the lines to show how the light beams come together at the focal point. 18. Another way to accomplish this is to use many wedge-shaped pieces (this is called a Fresnel lens (the word is pronounced “fre-NELL”). Draw lines showing how all the light beams come together at the focal point. 17- 7 19. Lighthouses are put on reefs and islands to warn ships. If an ordinary light source (that sends light in all directions) is used, most of the light is wasted. Draw lines showing the light beams. 20. The solution to the light house problem is to use a Fresnel lens to direct most of the light towards the ships. Assume the light source is placed exactly at the focal point of the lens, and draw some lines showing how the light is redirected 21. A fish is swimming in a calm clear pond, and a bird is flying over the pond. Draw some lines that show how the fish can see the bird, and how the bird can see the fish. From the point of view of the fish, in what direction does the bird seem to be? the path that light takes. From the point of view of the bird, where does the fish seem to be? that light takes. 17- 8 Draw in Draw in the path Each group should hand in one copy of this page Group: Names of group members present: 1. Veronica has invented a new kind of lighting fixture that has a light bulb in the center of a square glass container filled with water. The resulting lighting is not very uniform: some places outside the lighting fixture get lit better than others. Draw in some light beams that shows where the light goes (please use a ruler to make straight lines). 2. A laser beam is directed towards a prism, as shown. Three visible light beams result: A) light that is reflected from the front surface, B) light that enters the prism, travels to a different surface of the prism, and leaves it; C) light that enters the prism, travels to a different surface of the prism where it is reflected, travels to yet another surface (perhaps the first one, again), and leaves there. Please draw in the path taken by these three beams (labeling them A, B, C).. 17- 9 Check #2 The prism Lines a and d are the result of reflections. Their directions are set by the “equal angles” rule. Line b is closer to the perpendicular than the original beam, because light has entered the new medium. Lines c and e are farther from perpendicular, because the light is coming out of the medium. If we change the direction of the incoming beam just a little bit, the outgoing beam c will cease to exist. Instead, all of beam b will be reflected to make beam d, which means that beam e gets a lot brighter. When beam c is present, it will have a bit of color effect, because blue light bends slightly more than red. 17- 10