Seeing an Image Goal: To distinguish between a real and a virtual image when using mirrors and lenses. Materials: CPO Optics Kit, protractor, graph paper, colored pencils, index cards, small magnets, metric ruler. Pre-Lab Questions: 1. Give examples of some ways we use lenses. _____________________________________________________________________ _____________________________________________________________________ 2. What optical (lens) systems are used to magnify an object? _____________________________________________________________________ _____________________________________________________________________ 3. What optical (lens) systems are used to make an object look smaller? _____________________________________________________________________ _____________________________________________________________________ Procedure: Part 1 – Finding the magnification of a lens Set the bi-convex sphere lens directly on a piece of graph paper Count the number of squares that cross the diameter of the lens Examine a section of graph paper with your lens held above the paper. Move the lens closer and farther away until you have the biggest squares you can still see CLEARLY through the lens. Count the number of magnified squares that cross the diameter of the lens. In the example on the right, 4 ½ squares cross the lens Magnification can be calculated by dividing the number of unmagnified squares by the number of magnified squares. In the example above, 10 divided by 4.5 = 2.2. This time use the ruler to measure the distance between the lens and the paper. Notice that the magnification changes with different distances. Measure four different distances while holding the lens above the paper and count the number of squares that cross the diameter of the lens. The number of unmagnified squares will be the same as the second step of the procedure. Distance to paper (cm) # of unmagnified squares # of magnified squares Magnification Part 2 – How an image is formed Take a clean sheet of graph paper and draw a line and an arrow in the middle of the page as shown below: Place the paper on the optics table and position the mirror standing up with the silver edge on the line. Make sure everyone in your group can see an image of the arrow. Where is the object? _______________________________________________________________ Where is the image? __________________________________________________________________ Where does the image appear to come from? __________________________________________________________________ In order to figure out why the image appears where it does, you will use the laser to trace one ray of light at a time. Move the laser so the beam passes directly over the tip of the arrow and bounces off the mirror. Use a pencil and trace where the beam of light goes. Trace the beam as it enters the mirror (incident ray) and as it reflects (reflected ray) off of the mirror. You may need to stand up and look straight down on the reflected beam in order to see it clearly. Now adjust the laser so that the beam passes over the tip of the arrow but at a different angle. Trace the second ray on the graph paper. (see the diagram on the left, below. Take the mirror off and extend the two reflected rays by drawing lines. They will meet at a point behind the mirror. (see the diagram on the right, above) What does the point at which the rays meet represent? __________________________________________________________________ __________________________________________________________________ Part 3 – The Law of Reflection You will now draw a “Normal” line. “Normal” refers to a line drawn at a right angle to another line. Carefully draw the normal from the point where the two rays meet the mirror line. (see the diagram below) Use the protractor to measure the angles between the normal and the incident ray and the normal and the reflected ray. Angle of incidence = ________________________ Angle of reflection = ________________________ The Law of Reflection states that the angles of incidence and reflection in a mirror are always equal. Meaning that light rays bounce off a mirror at the same angle as they enter a mirror. Part 4 – Refracting Light Through a Prism Secure a piece of graph paper to the magnetic surface of the Optics Board using the small magnets. Put a prism on the center of the paper with the long flat side facing the left of the paper. Trace around the prism ( see the figure below) Put the laser on the left side of the prism Shine the laser at the prism and make sure that it comes out the right side of the prism. Use the edge of an index card to locate the beam as it enters and exits the prism. Trace the path of the light beam as you did in Part 2. (see the figure above) Remove the prism. Extend the path lines so that they show the beam entering and exiting the prism. Also, connect the lines inside the prism. Label the points at the end of each line with the letters A, B, C, and D. Which points represent the incident ray? __________________________________________________________________ __________________________________________________________________ Which points represent the refracted ray? __________________________________________________________________ __________________________________________________________________ Part 5 – Refracting Light Through a lens Take a sheet of graph paper and draw a horizontal line through the center. This is called the axis. Draw a second line in the middle of the paper perpendicular to the axis. (see the drawing below) Place the flat, bi-convex lens on the intersection of the two lines as shown in the drawing. Place the laser to the left of the lens, so that the notch at the base is centered on the axis. Shine the beam through the lens. If the beam goes through the center of the lens, will the beam get refracted? __________________________________________________________________ Adjust the position of the lens so the beam passes directly through the center. Trace around the lens. Now move the laser to a position that is 15 cm to the left of the vertical center line and 2 cm above the axis. Shine the beam through the lens. Draw the incident and refracted rays as you did in Part 4. Repeat the last step, but this time reposition the laser 2 cm below the axis. Draw the incident and refracted rays. Extend all of the exiting lines until they converge. (see the drawings below) What is the focal length of the lens? (the focal length is the distance from the center of the lens to the point where all of the rays converge) ___________________________________________ cm Reflection Questions 1. Does magnification get larger or smaller with distance? (Part 1) _____________________________________________ 2. Could you adjust the distance between the lens and the paper to get any magnification you wanted, or was there a point where the lens could no longer create a sharp image? If so, what was that distance? (Part 1) _____________________________________________________________________ _____________________________________________________________________ 3. Describe why the image formed by a mirror appears to come from behind the mirror. Include a sketch in your response. (Part 2) _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ 4. How did your data prove the Law of Reflection? (Part 3) _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ 5. In Part 5, how would you describe the path of the entering and exiting rays when the beam passed directly through the center of the lens? _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ 6. In Part 5, how would you describe the path of the laser beam as it travels parallel to the axis, above or below the axis? Compare the paths of the incident and refracted rays. _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ 7. How is the path of light through a bi-convex lens like the path of light through a prism? (compare Parts 4 and 5) _____________________________________________________________________ _____________________________________________________________________