Ch23-1s10 - Chapter 23(Lecture 1 Mirrors and Lenses Mirrors...

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Chapter 23 (Lecture 1) Mirrors and Lenses
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Mirrors and Lenses For both, four main questions are: ± Where is the image? ± Is it real or virtual? ± How large is it? ± Is it inverted or upright? ± Mirrors ± Flat mirrors ± Concave and convex mirrors ± Thin lenses ± Converging and diverging lenses ± Combos
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q= –p Flat mirror O: any point on the object. All reflected rays extrapolate back to point I , as if they all originated there. The observer perceives a virtual image (a collection of image points) located at distance q behind the mirror. Convention: use negative sign if behind the mirror. Turns out to be very useful, when using the mirror equation. q q This diagram, examining two rays, proves two things: extrapolations of all reflected rays converge onto a single point; and
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Flat mirror and observer
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Flat mirror, cont (from book) ± What is the minimum length ( d ) of the mirror that allows the observer to see his/her reflection from top to toe? ± One half of his/her height: d = h/ 2 ± Does not depend on how far the person stands from the mirror ± Read the book for proof ± How come the distance does not matter? ± We know any mirror shows a wider area at large distances than at short distances. A contradiction? ± See next page
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Flat mirror, cont ± When you say, “Any mirror shows a wider area at large distances than at short distances,” you are implicitly assuming that the viewer is fixed in position while comparing objects at different distances from him/her as well as from the mirror Narrow Wide
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90 cm 180 cm 160 cm 166 cm 150 cm ± Albert is 180 cm tall and his eyes are 166 cm above the floor when he stands straight. The mirror is 90 cm in length, hung on the wall so that he can just see a full-length image of himself. Lina is 160 cm tall and her eyes are 150 cm above the floor. Can she see a full-length image of herself, standing straight, without moving the mirror?
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Ch23-1s10 - Chapter 23(Lecture 1 Mirrors and Lenses Mirrors...

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