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by: Jalon Willms

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# Physics III PH 113

Jalon Willms
RHIT
GPA 3.69

Renat Letfullin

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COURSE
PROF.
Renat Letfullin
TYPE
Class Notes
PAGES
31
WORDS
KARMA
25 ?

## Popular in Physics 2

This 31 page Class Notes was uploaded by Jalon Willms on Monday October 19, 2015. The Class Notes belongs to PH 113 at Rose-Hulman Institute of Technology taught by Renat Letfullin in Fall. Since its upload, it has received 66 views. For similar materials see /class/225113/ph-113-rose-hulman-institute-of-technology in Physics 2 at Rose-Hulman Institute of Technology.

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Date Created: 10/19/15
Lecture 1 5 Introduction to Geometric Optics con nue Today s lecture will cover Textbook Chapters 33 34 Physics 113 Dr Renat Letfullin Today Spherical Mirrors continued Images in Convex Spherical Mirrors Mirror Convention Index of Re 39action Snell s Law Fiber Optics Experimental Activity 4 Snell s Physics 113 mmmmn Summary Concave Mirror Principal Rays 1 Parallel to principal axis reflects through f 2 Through f reflects parallel to principal axis 3 Through center Image is in this case Real or Imaginary Inverted or Upright Reduced or Enlarged Physics 113 Dr Renat Letfullin Mirror Equation O olo distance object is from mirror Positive object of mirror Negative object mirror 0 di distance image is from mirror 0 Positive image of mirror 0 Negative image mirror 0 f focal length mirror 0 Positive mirror 0 Negative mirror coming soon Physics 113 Dr Renat Letfullin Mirror Equation I I I do O f olo distance object is from mirror 39 c39 1 39 Positive object in front of mirror I Negative object behind mirror 0 di distance image is from mirror 0 Positive inverted image in front of mirror 0 Negative upright i mage behind mirror 0 f focal length mirror 0 Positive concave mirror 0 Negative convex mirror coming soon Physics 113 Dr Renat Letfullin Magnification Equation h d i do 0 h0 height of object 0 Positive 0 hi height of image 0 Positive Negat39ve Angle of incidence m magnification di 0 Positive Negative same as for hi hOI Magnification Equation h d h0 height of object 0 Positive always 0 hi height of image 0 Positive image is ugright 0 Negative image is inverted m magnification 0 Positive Negative same as for hi ho 0 lt 1 image is reduced 0 gt 1 image is enlarged Physics 113 Dr Renat Letfullin J I do 39I Angle of incidence Angle of reflection A candle is placed 6 cm in front of a concave mirror with focal length f2 cm Determine the image location Compared to the candle the image will be 0 Larger Smaller Same Size Physics 113 Dr Renat Letfullin Solving Equations A candle is placed 6 cm in front of a concave mirror with focal length f2 cm Determine the image location di 3 cm in front of mirror Real Image Compared to the candle the image will be Larer R 7 0 Same Size Physics 113 Dr Renat Letfullin Example Magnification A 4 inch arrow pointing down is placed in front of a mirror that creates an image with a magni cation of 2 What is the size of the image 1 2 inches 2 4 inches 3 8 inches 4 inches What direction will the image arrow point 1 Up 2 Down Physics 113 Dr Renat Letfullin ACT Magnification A 4 inch arrow pointing down is placed in front of a mirror that creates an image with a magni cation of 2 What is the size of the image h 4 inches 1 2 inches 2 4 inc 39 Magnitude gives us W What direction will the image arrow point 2 Down sign tells us it s inverted from object Physics 113 Dr Renat Letfullin Problem Solving Activity 17 3 Cases for Concave Mirrors Physics 102 Lecture 16 Slide 12 3 Cases for Concave Mirrors E lnSideF Between CampF PastC Convex Mirror Rays 1 Parallel to principal axis reflects 2 Through f reflects 3 Th rough center Complete the rays o 1 I g 3 Image is lt Virtual or Real f Upright or Inverted Reduced or Enlarged always true for convex mirrors Physics 113 Dr Renat Letfullin Convex Mirror Rays 1 Parallel to principal axis reflects through f 2 Through f reflects parallel to principal axis 3 Through center Image is lt f 0 Virtual light rays don t really c oss Upright same direction as obje Reduced smaller than object always true for convex mirrorsl Physics 113 Dr Renat Letfullin Activity A candle is placed 6 cm in front of a convex mirror with focal length f3 cm Determine the image location Determine the magnification of the candle If the candle is 9 cm tall how tall does the image candle appear to be Physics 113 Dr Renat Letfullin Solving Equations A candle is placed 6 cm in front of a convex mirror with focal length f3 cm Determine the image location 1 1 1 di 2 cm behind mirror 6 cm d 3 cm Virtual Image Determine the magnification of the candle If the candle is 9 cm tall how tall does the image candle appear to be 939 ll 3 m leage is Upright Conceptques on Where should you place an object in front of a convex mirror to produce a real image 1 Object close to mirror 2 Object far from mirror 3 Either close or far 4 You can t Physics 113 Dr Renat Letfullin Preflight 094 Where should you place an object in front of a convex mirror to produce a real image Mirror E uation 1 Object close to mirror q 2 Object far from mirror 3 Either close or far Convex mirror f lt 0 Object in front of mirror clo gt 0 di is nega ve dois Real Image means di gt 0 f is positive nega ve Phy51cs 113 Dr Renat Letfulhn Mirror Summary Angle of incidence Angle of Re ection Principal Rays Parallel to PA Re ects through focus Through focus Re ects parallel to PA Through center Re ects back on self mRa Physics 113 Dr Renat Letfullin Refraction Re ec on 6i 6 Flat Mirror ima e equidistant sg p pa Mirrors Concave or Convex Refraction In1 sin91 n2 Sin92 I Flat Lens Window Spherical Lenses AbsorptiG r39caVe 0quot Physics 113 Dr Renat Letfullin Today Last Today k Index of Refraction v 186000 milessecond it s not fi just a good idea it s the law W 4quot in 041 Speed of light in Speed of light in PE medium Index of raction so MI 39 always Phys1cs 113 Dr Renat Letfullln 39 Light Doesn t Just Bounce It Also Refracts Re ected Bounces Mirrors 9i Br eie Refracted Bends Lenses n n1 sin01 n2 sin02 Physics 113 Dr Renat Letfullin Snell s Law When light travels from one medium to another the speed changes vcln but the frequenclALis constant So the li ht bends n1 sin91 n2 sin02 Concept ques on 1n1gtn2 2 n1n2 3 n1ltn2 Physics 113 Dr Renat Letfullin Snell s Law When light travels from one medium to another the speed changes vcln but the frequenclALis constant So the li ht bends n1 sin91 n2 sin02 Answer 2 quot1 quot2 sin61 lt sin02 111 gt112 3 n1ltn2 Physics 113 Dr Renat Letfullin Snell s Law Practice Usually there is both reflection and refraction A ray of light traveling through the air n1 is incident on water n133 Part of the beam is reflected at an angle 0 60 The other part of the beam is refracted What is 92 e19r ii 4s cw r 7 w H r r 6 7V 39 7 y ii if i T M iv 3quot 51 5735H Snell s Law Practice Usually there is both reflection and refraction A ray of light traveling through the air n1 is incident on water n133 Part of the beam is reflected at an angle 6r 60 The other part of the beam is refracted What is 92 I 61 0r 60 m m sun60 133 sun02 n l62 406 degrees 1 r39h C Var 74 L if Mquot an u i a m w i A f l M w He ll Apparent Depth quot39 apparent fish actual fish Total Internal Reflection Recall Snell s Law n1 sin61 n2 sin62 quot1 gtr 2gtE2gt91 61 sin391n2In1 then 02 90 critical anle Light incident at a larger angle will only have reflection Gi 6 Physics 102 Lecture 17 Slide 29 Fiber Optics At each contact w the glass air interface if the light hits at greater than the critical angle it undergoes total internal reflection and stays in 39 noutside W Telecommunications Arthroscopy Total Internal Reflection only works if noutside lt ninside Laser surgery Physics 102 Lecture 17 Slide 30

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