# ch26 - Chapter 26 The Refraction of Light: Lenses and...

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Chapter 26 The Refraction of Light: Lenses and Optical Instruments

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26.1 The Index of Refraction s m 10 00 . 3 8 × = c Light travels through a vacuum at a speed Light travels through materials at a speed less than its speed in a vacuum. DEFINITION OF THE INDEX OF REFRACTION The index of refraction of a material is the ratio of the speed of light in a vacuum to the speed of light in the material: v c n = = material in the light of Speed in vacuum light of Speed
26.1 The Index of Refraction

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26.2 Snell’s Law and the Refraction of Light SNELL’S LAW OF REFRACTION When light travels from a material with one index of refraction to a material with a different index of refraction, the angle of incidence is related to the angle of refraction by 2 2 1 1 sin sin θ n n = SNELL’S LAW
26.2 Snell’s Law and the Refraction of Light Example 1 Determining the Angle of Refraction A light ray strikes an air/water surface at an angle of 46 degrees with respect to the normal. Find the angle of refraction when the direction of the ray is (a) from air to water and (b) from water to air.

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26.2 Snell’s Law and the Refraction of Light ( 29 54 . 0 33 . 1 46 sin 00 . 1 sin sin 2 1 1 2 = = = n n θ (a) (b) 33 2 = ( 29 96 . 0 00 . 1 46 sin 33 . 1 sin sin 2 1 1 2 = = = n n 74 2 =
26.2 Snell’s Law and the Refraction of Light APPARENT DEPTH Example 2 Finding a Sunken Chest The searchlight on a yacht is being used to illuminate a sunken chest. At what angle of incidence should the light be aimed?

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26.2 Snell’s Law and the Refraction of Light ( 29 69 . 0 00 . 1 31 sin 33 . 1 sin sin 1 2 2 1 = = = n n θ 44 1 = ( 29 31 3 . 3 0 . 2 tan 1 2 = = -
26.2 Snell’s Law and the Refraction of Light = 1 2 n n d d Apparent depth, observer directly above object

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26.2 Snell’s Law and the Refraction of Light Conceptual Example 4 On the Inside Looking Out A swimmer is under water and looking up at the surface. Someone holds a coin in the air, directly above the swimmer’s eyes. To the swimmer, the coin appears to be at a certain height above the water. Is the apparent height of the coin greater, less than, or the same as its actual height?
26.2 Snell’s Law and the Refraction of Light THE DISPLACEMENT OF LIGHT BY A SLAB OF MATERIAL

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26.2 Snell’s Law and the Refraction of Light THE DERIVATIN OF SNELL’S LAW
26.3

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## This note was uploaded on 02/20/2010 for the course PHYSC 210 taught by Professor Uscinski during the Summer '09 term at American.

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ch26 - Chapter 26 The Refraction of Light: Lenses and...

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