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Physics Review: Refraction nisinθi = nrθr sin θc = nr/ni Name_________________ n = c/v 1. If you look into a cup at an angle of 70.0o to the normal, at what angle to the normal must the penny be located in order for it to just appear in the bottom of the cup when the cup is filled with water? 2. Robert makes his girlfriend a dessert of gelatin filled with blueberries. If a blueberry that appears at an angle of 44.0o to the normal in air is really located at 30.0o to the normal in the gelatin, what is the index of refraction of the gelatin? 3. A light beam passes from flint glass (n=1.62) into ethanol (n=1.36). What is the critical angle for total internal reflection of the light beam? 4. What is the speed of light in ethanol? 5. The critical angle for total internal reflection at a diamond-air boundary is 24.4o. What is the angle of refraction in the air if light is incident on the boundary at an angle of 20.0oC? 6. A convex mirror has a focal length of 16 cm. How far behind the mirror does the image of a person 3.0 m away appear? 7. The focal length of a lens in a box camera is 10.0 cm. The fixed distance between the lens and the film is 11.0 cm. If the object is clearly focused on the film, how far must the object be from the lens? 8. What is the focal length of the lens in your eye when you read a book that is 35.0 cm from your eye? The distance from the lens to the retina is 0.19 mm. 9. Where must an object be placed to have a magnification of 2.00 in each of the following cases? a) a converging lens of focal length 12.0 cm. b) a diverging lens of focal length 12.0 cm. 10. A diverging lens is used to form a virtual image of an object. The object is 80.0 cm in front of the lens and the image is 40.0 cm in front of the lens. Determine the focal length of the lens. Concepts 1. An optical tool that uses refraction to bend light to form an image is a(n) __________. 2. The area of the eye on which light is focused is called the ____________________ 3. As a ray of light passes from air into the lens, the speed of light ____________. 4. A diverging lens ____________________________ 5. A magnifying glass is usually a ____________________________. 6. If a person’s eyes cannot form sharp images at near distances, the person is ___________. 7. The human eye is most like a ________________________. 8. The image your eye receives at the retina is __________________________. 9. Nearsightedness can be corrected with a ________________________ lens. 10. The eyes of farsighted people focus light ______________________ the retina. 11. The image produced by a microscope is _____________________ compared to the orientation of the original specimen. 12. The objective lens of a microscope is used to produce an image located _________________ 13. The lens found in an overhead projector is _______________________. 14. If the magnification of an object produced by a mirror is 2.00, the mirror is ____________. 15. Which of the following is required in order to see a magnified, upright image with a lens? 16. Complete the following table for convex lenses: Location of object Between f and 2f At 2f Outside of 2f Location of image Size of image Orientation of image Type of image 17. Sketch a ray diagram of an object located at 2f from a convex lens.