# 6. When a ray of light travels from one medium to another, it changes direction. This phenomenon isknown as refraction. In the figure below, light is traveling from A to B. The amount of refractiondepends on the velocities vi and v2, of light in the two media and on Fermat's Principle which statesthat 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, thensin 01sin 02This result is known as Snell's Law and the ratio v1/v2 is called the index of refraction of thesecond medium with respect to the first medium. (Suggestion: Calculate set 0 but donot solve for x. Use this final equation to directly calculate the fraction Medium 1Velocity1A01RB'-C--Medium 2BVelocity 2CFigure 2: Snell's Law

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