6. When a ray of light travels from one medium to another, it changes direction. This phenomenon is known as refraction. In the figure below, light is traveling from A to B. The amount of refraction depends on the velocities vi and v2, of light in the two media and on Fermat's Principle which states that the light's time of travel, T, from A to B, is a minimum (a) Find an expression for T in terms of x and the constants a, b, v1, v2 and c. (b) Show that if R is chosen so that the time of travel is minimized, then sin 01 sin 02 This result is known as Snell's Law and the ratio v1/v2 is called the index of refraction of the second medium with respect to the first medium. (Suggestion: Calculate set 0 but do not solve for x. Use this final equation to directly calculate the fraction Medium 1 Velocity1 A 01R B' -C-- Medium 2 B Velocity 2 C Figure 2: Snell's Law

6. When a ray of light travels from one medium to another, it changes direction. This phenomenon is known as refraction. In the figure below, light is traveling from A to B. The amount of refraction depends on the velocities vi and v2, of light in the two media and on Fermat's Principle which states that the light's time of travel, T, from A to B, is a minimum (a) Find an expression for T in terms of x and the constants a, b, v1, v2 and c. (b) Show that if R is chosen so that the time of travel is minimized, then sin 01 sin 02 This result is known as Snell's Law and the ratio v1/v2 is called the index of refraction of the second medium with respect to the first medium. (Suggestion: Calculate set 0 but do not solve for x. Use this final equation to directly calculate the fraction Medium 1 Velocity1 A 01R B' -C-- Medium 2 B Velocity 2 C Figure 2: Snell's Law

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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