A ray of light is incident on a glasswater interface at

Chapter , Problem 126

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A ray of light is incident on a glasswater interface at the critical angle uc as the fi gure illustrates. The refl ected light then passes through a liquid (immiscible with water) and into air. The indices of refraction for the four substances are given in the drawing. Concepts: (i) What determines the critical angle when the ray strikes the glasswater interface? (ii) When the light is incident at the glasswater interface at the critical angle, what is the angle of refraction, and how is the angle u1 related to the critical angle? (iii) When the refl ected ray strikes the glassliquid interface, how is the angle of refraction u3 related to the angle of incidence u2? Note that the two materials have the same indices of refraction. (iv)When the ray passes from the liquid into the air, is the ray refracted? Explain. Calculation: Determine the angle of refraction u5 for the ray as it passes into the air.