CHAPTER 12 Review SUGGESTED ANSWERS WHAT DO YOU REMEMBER? 1. Direct an incident light ray at the centre of the flat side of a semicircular block of a transparent material. Draw the normal to the flat side at the point where the light ray hits and measure the angle between the normal and the refracted ray. normal ray box measure this angle 2. Light travels at a slower speed in material B. 3. The light always bends toward the normal when it slows down travelling into another medium. 4. The material with an index of refraction of 2.30 will refract light the most because it has the highest index of refraction of the four, meaning that it is more optically dense and causes the greatest slowdown. 5. 90o 6. 24.6o 7. The actual position of the object is deeper than its apparent depth. 8. If an observer is looking at an area with a very large number of raindrops, sunlight coming from behind the observer can enter the drops, get dispersed into a spectrum, and then bounce back towards the observer to create a visible rainbow. 9. (a) The diagram should show the ray bending toward the normal, then exiting the glass turning away from the normal parallel to its original path. (b) When the light ray enters the glass, it slows down and is refracted toward the normal. When the light ray leaves the glass, it speeds up and bends away from the normal, following a path that is parallel to its original path in air. (c) 868 window air The angle of refraction cannot reach 90° because this would result in total internal reflection, and that is not possible when light travels into a medium with a higher index of refraction. Unit E: Light and Geometric Optics 55308_03_ch12_p827-874 pp3.indd 868 NEL 11/20/09 6:14:16 PM WHAT DO YOU UNDERSTAND? 10. (a) medium A (b) medium A (c) The ray will always bend toward the normal and have a smaller angle in the medium with a higher index of refraction. 11. Refraction would not occur if light had the same speed in air and glass because refraction is caused by a change in speed when light passes from one medium into another. 12. (a) (b) Light entering a triangular prism can undergo total internal reflection and follow the same path it would if mirrors were placed there instead. Mirrored surfaces absorb a little of the light that falls on them whereas prisms absorb virtually no light, thus producing brighter images. Also, mirrored surfaces deteriorate over time, but prisms do not. 13. A rainbow is a virtual image. Dispersed light rays of different colours exit raindrops, and an observer’s eyes and brain trace these rays backwards to form a virtual image. 14. The air over the hot asphalt gets increasingly cooler farther away from the asphalt, which creates a gradual increase in the air’s index of refraction. Light from the sky enters the warmer air over the asphalt and, due to the lower index of refraction, is refracted more and more until it is internally reflected to form a virtual image of the sky on the asphalt. ncarbon disulfide 5 16. natg 5 17. nfluoride 5 18. vveg. oil 5 19. vflint glass 5 20. vzircon 5 cool air warm air hot air hot asphalt image SOLVE A PROBLEM 15. object 8 3.00 3 10 m/s 1.84 3 108 m/s 3.00 3 108 m/s 1.47 3 108 m/s 3.00 3 108 m/s 2.10 3 108 m/s 3.00 3 108 m/s 1.47 3.00 3 108 m/s 1.65 3.00 3 108 m/s 1.92 5 1.63 5 2.04 5 1.43 5 2.04 3 108 m/s 5 1.82 3 108 m/s 5 1.56 3 108 m/s CREATE AND EVALUATE 21. (a) (b) The light is reflected from wall to wall inside the fibre, traveling in straight lines between the reflections. Compared to copper cable, fibre-optic cable allows communications systems to run at higher speeds, and fibre-optic signals can travel longer distances without having to be boosted. Also, fibre-optic cables are less costly to maintain and are less affected by interference from radios, motors, and nearby cables. NEL 55308_03_ch12_p827-874 pp3.indd 869 Chapter 12 The Refraction of Light 869 11/20/09 6:14:22 PM 22. 23. similarities differences They are both formed by the reflection and refraction of light Rainbows are formed by water droplets, whereas mirages are formed by layers of air with a steadily increasing temperature toward the ground. They are both virtual images Rainbows are a result of dispersed colours, whereas mirages are images of the sky or distant objects. They both occur in the atmosphere Rainbows often occur after storms, while mirages occur on hot, dry days. Sample answer: My brother needs to dive at a point below the apparent position of the puck and go deeper. When light rays from the puck exit the water surface, they are bent away from the normal. When my brother’s eye and brain trace these rays back to an apparent point of origin, a virtual image of the puck is formed that lies above the actual position of the puck in both position and depth. air water virtual image of puck 24. (a) Sample answer: Science and technology lead to new products that can be beneficial to many, but may also be used for harmful purposes. For example, lasers are used in a number of medical treatments that help people, but laser weapons might be developed that could kill many people. (b) Sample answers: The military could find many uses for invisibility cloaks such as hiding soldiers or equipment on a battlefield. A society with this technology would have a military advantage over other societies. An invisibility cloak could also be used to protect cell phones from interference and even to hide an unsightly industrial site or junkyard from view, which would benefit people. (c) Sample answer: It is a good idea because an invisibility cloak could be used by the military to help hide people and vehicles. REFLECT ON YOUR LEARNING 25. (a) Sample answer: I learned that refraction is the bending of light due to a change in speed when light moves into a new medium. This knowledge helped me to understand how light can be refracted in the atmosphere and thus produce interesting phenomena, such as rainbows, shimmering, and mirages. (b) Sample answer: I always wondered what causes rainbows after storms and mirages over hot roads. I used to think they were almost like magic, but now I know the science behind them and can explain how they form using the laws of reflection and refraction. 870 Unit E: Light and Geometric Optics 55308_03_ch12_p827-874 pp3.indd 870 NEL 11/20/09 6:14:34 PM WEB CONNECTIONS 26. Answers will vary. Students should describe the experimental apparatus and/or method in detail, focusing on how light travels extremely fast, so some means of forcing the light to travel a great distance is needed (as in Rømer’s observations of light travelling from Jupiter’s satellite Io to Earth) or some way to magnify the effects of light reflecting between mirrors must be found. 27. Double reflections of rays from the Sun inside rain drops can produce a secondary rainbow that lies outside the primary rainbow and has its colours in a reverse order compared to the primary bow. Three reflections inside raindrops can produce a tertiary rainbow, but it lies in the direction of the Sun, is broader and dimmer than the primary bow, and can be hard to see. 28. Students’ answers should focus on the idea that the front of the mirror is one piece of glass, but the back, silvered surface is not exactly parallel to the front, plain glass surface. During the day, the mirror is tilted so the driver sees the road in the silvered mirror. The partial reflection of light from the front of the mirror is too dim to matter. At night, the mirror is tilted so that the road is visible through partial reflection from the front surface, which is not as bright, so glare from headlights is reduced. NEL 55308_03_ch12_p827-874 pp3.indd 871 Chapter 12 The Refraction of Light 871 11/20/09 6:14:41 PM
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