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hw32,33,34 - MasteringPhysics Assignment Print View Page 1...

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Chs. 32, 33, 34 Due: 11:59pm on Tuesday, December 15, 2009 Note: You will receive no credit for late submissions. To learn more, read your instructor's Grading Policy [Return to Standard Assignment View ] Is Light Reflected or Refracted? When light propagates through two adjacent materials that have different optical properties, some interesting phenomena occur at the interface separating the two materials. For example, consider a ray of light that travels from air into the water of a lake. As the ray strikes the air-water interface (the surface of the lake), it is partly reflected back into the air and partly refracted or transmitted into the water. This explains why on the surface of a lake sometimes you see the reflection of the surrounding landscape and other times the underwater vegetation. These effects on light propagation occur because light travels at different speeds depending on the medium. The index of refraction of a material, denoted by , gives an indication of the speed of light in the material. It is defined as the ratio of the speed of light in vacuum to the speed in the material, or . An example of reflection and refraction of light is shown in the figure. An incident ray of light traveling in the upper material strikes the interface with the lower material. The reflected ray travels back in the upper material, while the refracted ray passes into the lower material. Experimental studies have shown that the incident, Part A When light propagates from a material with a given index of refraction into a material with a smaller index of refraction, the speed of the light Hint A.1 Index of refraction Hint not displayed ANSWER: increases. decreases. remains constant. Answer not displayed Part B What is the minimum value that the index of refraction can have? Hint B.1 How to approach the problem Hint not displayed ANSWER: between 0 and 1 Answer not displayed Page 1 of 56 MasteringPhysics: Assignment Print View 12/12/2009 http://session.masteringphysics.com/myct/assignmentPrint?assignmentID=1317607
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reflected, and refracted rays and the normal to the interface all lie in the same plane. Moreover, the angle that the reflected ray makes with the normal to the interface, called the angle of reflection , is always equal to the angle of incidence . (Both of these angles are measured between the light ray and the normal to the interface separating the two materials.) This is known as the law of reflection. The direction of propagation of the refracted ray, instead, is given by the angle that the refracted ray makes with the normal to the interface, which is called the angle of refraction . The angle of refraction depends on the angle of incidence and the indices of refraction of the two materials. In particular, if we let be the index of refraction of the upper material and the index of refraction of the lower material, then the angle of incidence, , and the angle of refraction, , satisfy the relation .
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