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Lecture 36 - Spherical and thin lenses

# Lecture 36 - Spherical and thin lenses - Refraction in a...

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1 Lecture 36 Spherical and thin lenses Refraction in a spherical surface h n 2 1 1 2   11 22 sin sin nn 1 2 s > 0 s > 0 tan tan tan R   R > 0 sin sin tan tan tan   Paraxial approximation hh 1 2  12 21 nn nn ss 12 sR Rs          1 2   Magnification (spherical refracting surface) y 2 1 > 0 > 0 m tan tan   1 2 ns 1 2

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2 12 1.3 1.0 nn  In-class example: Fish bowl A spherical fish bowl has a 28.0 cm diameter and a fish at its center. What is the apparent position and magnification of the fish to an observer outside of the bowl? A. s = –7 cm, m = 2.0 B. = +7 cm, = –2.0 s = 14 cm R = –14 cm =–14 ±cm C. = –14 cm, = 1.3 D. = +14 cm, = –1.3 E. = –14 cm, = 1.0 12 21 nn nn ss  14 cm sR  1 2 1.3 ns Fish appears in the center but 33% larger!
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Lecture 36 - Spherical and thin lenses - Refraction in a...

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