The index of refraction of light in passing from a vacuum into water is 1.33. If the

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The index of refraction of light in passing from a vacuum into water is 1.33. If the angle of incidence is 40°, determine the angle of refraction.

Some Indexes of Refraction

Medium ……………………………………… Index of Refraction

Water ……………………...............……...………………….…… 1.33

Ethyl alcohol (20°C) …………...........……………………..… 1.36

Carbon disulfide …………………….............………………… 1.63

Air (1 atm and 0°C) ………………………….......………… 1.00029

Diamond ………………………………………................…….… 2.42

Fused quartz …………………………………………............… 1.46

Glass, crown ………………………………….............………… 1.52

Glass, dense flint ………………………….………..........….… 1.66

Sodium chloride …………………...........………………..…… 1.54


Light sound, and other waves travel at different speeds, depending on the media (air, water, wood, and so on) through which they pass. Suppose that light travels from a point A in one medium, where its speed is v1, to a point B in another medium, where its speed is v2. Refer to the figure, where the angle θ1 is called the angle of incidence and the angle θ2 is the angle of refraction. Snell's Law, which can be proved using calculus, states that

The vl/v2 is called the index of refraction. Some values are given in the table shown to the right.

Angle of incidence A. Incident ray, speed v, Refracted ray, speed v2

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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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