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# Lec-24 - diverge from a point – p 1 Magnifying Glass –...

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Previous Lecture Geometric Optics Ray tracing Mirror Equation 1 d o + 1 d i = 1 f – p.

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Today Lenses Several demos – p.
The Mirror Equation 1 d i + 1 d o = 1 f – p.

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The Mirror Equation 1 d i + 1 d o = 1 f 1 2 f + 1 2 f = 1 f – p.
Real vs. Virtual Images You can focus a real image on a piece of paper, because light rays really converge at it. Light rays only appear to come from a virtual image . – p.

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Refraction: Glass bends light – p.
Index of Refraction Experimental fact: the velocity v of a light wave depends on the medium. medium v vacuum c = c/ 1 air 0 . 9997 c = c/ 1 . 0003 water 0 . 752 c = c/ 1 . 33 glass 0 . 67 c = c/ 1 . 5 diamond 0 . 415 c = c/ 2 . 41 In general, we define the index of refraction n by v = c n n = c v – p.

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Snell’s Law n 1 sin θ 1 = n 2 sin θ 2 – p.
Refraction by Thin Lens Converging lens focuses parallel rays to a point. – p.

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Refraction by Thin Lens Diverging lens makes parallel rays

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Unformatted text preview: diverge from a point. – p. 1 Magnifying Glass – p. 1 Ray Tracing • Ray 1 is parallel to the axis; after reflection/refraction it must pass through F . For a lens, you must determine which of the two F ’s the ray passes through. – p. 1 Which F for Ray 1? – p. 1 Ray Tracing • Ray 3 passes through the center of curvature of a mirror or the center of a lens. – p. 1 Ray Tracing • Ray 2 or its extension passes through the appropriate F and reflects/refracts so that it is parallel to the axis. – p. 1 Dispersion Bending angle depends on color ( λ ) – p. 1 n depends on λ – p. 1 Total Internal Reflection – p. 1...
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