Physics 20 – Unit 4 Exam – Optics Name_____________ December 20th , 2010 Part A. Match each of the statements from the first column with a lens in the second column. Place the letter of the corresponding lens in the second column in the correct blank. Each part is worth one mark. _____ _____ _____ _____ _____ _____ _____ _____ _____ _____ Image is always upright Has a positive focal length Produces virtual images Parallel incident rays are refracted towards the principal axis Has two focal points Thick at the middle, thin at the ends Thin in the middle, thick at the ends Produces real images Can produce an image with the same size as the object Can produce an image that is smaller than the object C. Converging D. Diverging B. Both Part B. Solve the following Problems. Some questions require a diagram, some require math. If the question does not specify then you get to choose. Each question varies in the amount of marks it is worth. 1. Locate the images for the following objects: a) F F F F b) 2. Using a scale diagram, what is the height and distance of the image of a 18.0 cm tall object placed 6.0 cm from a converging lens with a focal length of 12.0 cm? 3. Using math, calculate the magnification of an image in a converging lens if a 10.0 cm tall object produces a real image 7.5 cm tall. 4. Using math, what is the focal length for a lens if an object 15.0 cm away produces a virtual image 13.5 cm away? Is the lens converging or diverging? 5. An object is placed 30.0 cm from a diverging lens with a focal length of 20.0 cm. If the object is 15.0 cm tall, what is the image height? Note that if drawing a scale diagram, the scale or drawing of the lens will not be included in the marks (hence, only 6 marks). Bonus (not for marks but to see if focus your thoughts) A home-made T.V. projection system uses a large convex lens to cast the real image of the screen onto a wall. The final picture is enlarged three times and, although rather dim, is nice and clear. If the lens has a focal length of 60 cm, what should be the distance between the screen and the wall? How should the screen be mounted with respect to the lens? Merry Christmas! Have a safe holiday!