Reflection and Refraction Investigation 25B 25B Reflection and Refraction How does light behave when its path is changed? Looking in a mirror we see a twin of ourselves reversed left-to-right. A fish underwater appears in a different place from where the fish really is. Both of these illusions are caused by the bending of light rays. This Investigation explores reflection and refraction, two processes that bend light rays. You will also use refraction to calculate the focal point of a lens. A Materials • • • • • • Optics with Light & Color Protractor & metric ruler Index card Thin tipped white board marker Graph paper (2 pieces) Sheet of blank white paper Observing the law of reflection 1 2. 3. 4. 5. Set a sheet of graph paper on your lab table. Slide the laser into a light stand, turn the laser on and put it on the graph paper. Align the laser so the beam follows one horizontal line across the paper. To line up the beam with the horizontal line on the graph paper, place an index card on its side onto the paper. Keep its long side flat on the graph paper and slowly slide the card over until you can just start to see the beam on the very edge of the card. Follow the vertical edge of the index card down and make a mark on the paper. The mark tells you where the beam is, and you can use this method to trace the path of the beam in all the Optics with Light & Color activities. 6. Follow the beam as it moves across the graph paper and make sure it lines up with one of the horizontal lines on the paper. 7. Set the mirror on the graph paper so the light beam from the laser hits its shiny front at an angle. The mirror should be placed so its long side is down on the paper. 8. Draw a line on the graph paper marking the front face of the mirror. 1 Investigation 25B Reflection and Refraction 9. Use a pencil and the index card to trace the light rays going toward and away from the mirror. Label it ray #1. 10. Draw small arrows every couple of inches indicating the direction the beam is traveling. B Thinking about what you observed a. A diagram showing how light rays travel is called a ray diagram. Lines and arrows on a ray diagram represent rays of light. b. Look at your ray diagram showing the surface of the mirror and the light rays before and after the mirror. c. Which is the incident ray? Label it on your ray diagram. d. Which is the reflected ray? Label it on your ray diagram. C The law of reflection a. Move the laser and the mirror to a new location on the graph paper. Make sure the beam hits the mirror at a slightly different angle and repeat steps 7–10. Be sure to label each ray. Continue shining and tracing the beam from a total of 4 different locations. Label the rays 1–4. b. For each ray diagram, draw a line perpendicular to the mirror surface at the point where the rays hit. This line is called the normal line. c. Use a protractor to measure the angle between the normal and the incident and reflected rays. Record your measurements in Table 1. d. Write down your own statement of the law of reflection, describing the relationship between the angles you measured. 2 Reflection and Refraction Investigation 25B e. A laser shines at a mirror at an angle of incidence of 75 degrees. Predict its angle of reflection. After predicting, test your prediction. Were you right? Table 1: Angles of incidence and reflection Diagram #1 Diagram #2 Diagram #3 Diagram #4 Angle of incidence Angle of reflection D Light rays going through a prism A prism is a solid piece of glass with polished surfaces. Prisms are useful for investigating how light bends when it crosses from one material into another, such as from air into glass or glass into air. 1. Set the laser on the left side of the paper. Turn the laser on. Face the laser so it is shining horizontally across the paper. 2. Place the prism in the middle of the paper (as shown in the picture above) into the laser beam so the beam comes out the opposite short side. 3. Rotate the prism in the beam and observe where the beam comes out. 4. Keep rotating the prism until you can see the beam refracted and reflected at the same time. 3 Investigation E 25B Reflection and Refraction Sketching what you observed a. Draw at least one ray diagram showing a laser beam that is refracted after passing through the prism. The refracted ray is the ray that comes out of the prism at a different angle than it entered. b. Draw a ray diagram showing a laser beam that is reflected. c. Draw a ray diagram showing a laser beam that is both refracted and reflected. F Seeing reflection and refraction at the same time Both refraction and reflection often occur when light hits a boundary between materials such as the boundary between glass and air. The amount of light reflected or refracted depends on the angle at which you are looking relative to the surface. 1. Take a piece of graph paper about the size of a business card and draw a line about 5 centimeters from one edge, dividing the rectangle in half. Draw the letter A on one side of the line and the letter B on the other side. 2. Fold the paper on the line and wrap it around one of the corners of the prism that is not a right angle. 3. Look into the prism. Move your head up and down to change the angle at which you look. G Thinking about what you observed a. Draw a diagram showing the path of the light when you see the letter A. b. Draw a diagram showing the path of the light when you see the letter B. c. Is the image in the prism always reflected or refracted or can there be both reflection and refraction at the same time? 4 Reflection and Refraction H Investigation 25B Refracting light through a lens 1. Divide a new sheet of graph paper in half horizontally. For the first part of this activity use the top half of the new sheet of graph paper. Place the laser on the edge of the paper and shine the laser so it follows a horizontal grid line across the paper. 2. Place the light blue lens 10 cm to the right of the laser with the slot facing up. Line the lens up vertically using the grid lines on the graph paper. It is important that the beam is perpendicular to the lens. Make sure the beam of the laser is lined up with the middle of the lens. There are lines on the side of each lens indicating the middle of the lens. 3. Trace around the base of the lens so it can be removed and put back in place in case you need to move it to complete ray tracing. 4. Shine the laser through the lens so the beam passes off-center, almost at the very outer edge of the lens. Set the block with the mirror about 30 cm on the right side of the lens so the beam hits it after passing through the lens. Use the side of the block with the graph paper on it so you can clearly see where the beam hits the block. 5. Trace the laser beam before and after it passes through the lens. Be sure to always carefully mark the points that the beam exits the laser, enters the lens, exits the lens, and then hits the block. Connect all these points to see the path of the beam. 6. Realign the laser with a different horizontal grid line parallel to the original beam and closer to the center of the lens. Again, trace the path of the beam before and after it passes through the lens. 7. Realign the beam so it passes directly through the center and trace the beam again. 8. Trace two more beams passing through the lens on the other side of the center of the lens for a total of five beams. Label the beams 1-5 on both sides of the lens. 9. Repeat steps 1–8 with the dark blue lens using the bottom half of your graph paper. 5 Investigation I 25B Reflection and Refraction Thinking about what you observed a. Feel the glass surface with your fingers and note the shape of the lenses. How are they different? b. Draw a quick sketch of the shape of each lens itself with no stand from a side view. Label each lens. c. Describe the paths of the rays before and after they traveled through the light blue lens. Include the words refract, converge and diverge in your description. d. What is the focal point of a lens? Mark the focal point on the first ray diagram. e. What is the focal length of the lens? Measure the focal length of the light blue lens. f. Describe the paths of the rays before and after they traveled through the dark blue lens. Include the words refract, converge and diverge in your description. g. How are the two lenses different? 6 Reflection and Refraction Investigation 25B h. One lens is referred to as a diverging lens, and the other a converging lens. They are also sometimes referred to as convex or concave. Research these terms and explain which is which. J Making an image with a lens Certain types of lenses can make an image of a distant light source. The image forms about one focal length away from a lens when the object is far away. 1. Find a wall at least 5 meters away from a lamp or sunlit window. Tape a piece of white paper to the wall to create a screen for seeing the image. 2. Get the light blue lens. Hold the lens at different distances parallel to your screen and window or light source. Try distances between 15 and 25 centimeters. 3. Move the lens until you see a sharp image of the lamp or window on the screen. An image is produced when your lens is about one focal length away from the screen. 4. Measure the distance from the lens to the wall and record in Table 2. Use this technique to determine the focal lengths for both lenses. Table 2: Focal lengths of lenses Focal length (cm) Light blue Lens Dark blue lens Images can be smaller or larger than the object that created them. Images can also be right side up or inverted. a. Was the image created by the light blue lens smaller or larger than the object? b. Was the image right side up or was it inverted? 7 Investigation K 25B Reflection and Refraction Projecting an image with a lens You can think about a lens as collecting a cone of light from each point on an object. For a perfect lens all the light in the cone is bent so it comes together at a point again to make the image. This is how movie projectors take an image on film and project it onto a screen. 1. Place one of the lights near the edge of the graph paper. Shine it horizontally. 2. Take the light blue lens and set it on the graph paper 35 cm away from the light. 3. Shine the light at a distant light colored wall at least 5 meters away. If one is not available, affix a piece of paper to the wall as your projection screen. Slowly move the lens toward the light until you see a sharp image of the “F” on the wall or screen. Have one group member check the projected image closely while the lens is slowly moved to find the exact place the lens needs to be to make it come into focus. At what distance from the light does the lens produce a sharply focused image? 4. Take a paper card and use it to block some of the light from the lens. The card should be 2–3 cm from the lens and on the same side as the light. 8 Reflection and Refraction L a. Investigation 25B Thinking about what you observed Describe the characteristics of the image formed by the lens. Characteristics include whether the image right-side-up, inverted, larger, or smaller. b. Discuss with your class why blocking part of the lens makes the image dimmer, even though you still see the entire image. c. CHALLENGE! The thin lens formula is used to calculate the exact focal length of a lens. Calculate the focal length of your light blue lens using the thin lens formula. You will need to measure the distance from the lens to your projection screen or wall where the image became sharply in focus. How does it compare with the other 2 focal lengths of the light blue lens you observed? Was the method from section 8 or 10 more accurate compared to the focal length you just calculated using the thin lens formula? 9