Experiment 1: Reflection and Refraction Part one: You will experimentally test the law of reflection, and also measure the index of refraction of a piece of plastic. CAUTION: LASER LIGHT CAN DAMAGE YOUR EYES. The beam's intensity is similar to direct sunlight. If the beam shines in your eyes, it's like looking at the sun. PROCEDURE: You have a laser, and a stand holding a plastic semicircle with protractors attached. You will shoot the laser beam at the flat side of the semicircle. Leave the clamp on base of the semicircle loose enough to turn it to different angles, but tight enough that it will stay when you let go. Before you begin, align the laser with the protractor: Mount the center of the semicircle at about the same height as the laser. Then adjust the screw or screws under the laser to tilt it until the beam lines up with the 90 mark when perpendicular to the plastic surface. (It's perpendicular when the reflected beam goes back into the laser's opening.) If the law of reflection does not seem to work when you start the experiment, adjust this further. When the beam hits the plastic, part of it will reflect back into the air, and part will be refracted into the plastic. Record the angle of incidence, θi, the angle of reflection, θa, (a for "air"), and the angle of refraction θp (p for "plastic") for four different values of θi of over 10 . (Small angles give large percent uncertainties.) To observe these, you can move the stand holding the plastic toward or away from you to make the beam hit the numbers on the protractor. Do not change its distance from the laser, or it may affect the aim of the beam. Remember that these are all acute angles measured from a normal (perpendicular) to the air-plastic boundary, so you must subtract the protractor's reading from 90 . It's also a good idea to try the beam on both sides, as shown, and average the results to compensate for any misalignment of the protractor. Comment on whether your results agree with the law of reflection. (Consider the angles to be good to ±1 ) Use Snell's Law to compute np, the plastic's index of refraction (assume n= 1.00 for air), and average to obtain a best value. Include in your report the details of these calculations for at least one trial. (Note that you are experimentally determining np: do not look it up in a table.) Part two: - 2 You work with a lens and then with a mirror mounted in front of a light with an arrow painted on it, which you use as the object. Convex Lens: 1. Set things up: Mount the meter stick on its feet, then place the lens on it. Clamp the light you will use for an object to the ring stand from part one, about the same height above the counter as the lens. (Be sure you don't want to double check anything before you disassemble part one.) 2. Determine the lens's focal length: Place the object far from the lens (40 to 80 cm away). On a card, locate the image it forms. Measure the object distance and the image distance. Use them to find the focal length of the lens. 3. Change things around and predict what the image will now be like: a. Move the object closer to the lens, so that it is now about 5 or 10 cm beyond the focal point. Measure so and ho (note that ho is the length of the arrow, not its height above the counter.) b. Calculate the distance of the image from the lens si, and calculate the height of the image hi. Also, decide whether the image should be erect or inverted. c. Solve the problem again, this time by measurement on a ray diagram drawn to scale, instead of using equations. 4. Move the card along the meterstick to locate the actual image. Record its position, size, and character. In your conclusion, a. State whether the position, size and character you calculated for the image agrees with what you observed. b. State whether the position, size and character you predicted with the ray diagram agrees with what you observed. Consider all numbers to have 10% uncertainties. Concave Mirror: Place the object 10 to 20 cm from the mirror, and measure the object and image distances. The screen goes in front of the mirror, so you will have to be careful not to block all of the light. A small screen is a good idea. Compute the focal length of the mirror, and its radius of curvature. (No comparison in this part.) - 3 Phy 133 Report on Experiment 1: Reflection and Refraction PART ONE: θi │ │ │ │ │ │ │ │ │ θa │ │ │ │ │ │ │ │ │ Sample calculation of np: PART TWO: Converging Lens: so = _______________ si = _______________ compute f: 3a) so = _______________ b) compute si: │ │ │ │ │ │ │ │ │ (np)ave = Comments on law of reflection: 2) θp ho = _______________ np _ _ _ _ _ _________ _ - 4 compute hi: Should it be erect or inverted? c) from ray diagram si = _______________ hi = ________________ (attach diagram): Should it be erect or inverted? 4) experimental: si = _______________ hi = ________________ Is it erect or inverted? Converging mirror: so = _______________ compute f: R= si = ________________