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HW5+Sol - HOMEWORK V with Solutions 1(A From the given...

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HOMEWORK V with Solutions 1. (A) From the given location of C 1 and C 2 and the values of R 1 , R 2 , n, and d of the thick lens shown in Fig.1, determine its focal length , the location of its focal points , and principal planes . (Use the concepts and relations in Handout I, taking care of proper signs.) (B) Draw your results into the diagram and obtain graphically the location and size of the image. What is s o and s i and the magnification M in numerical value and sign? (A) n = 2.0 , d = 3.0 cm, R 1 = – 10.0 cm (Left of V 1 ), R 2 = – 4.0 cm (Left of V 2 ) 1 f = (n – 1) [ 1 R 1 1 R 2 + (n – 1) d n R 1 R 2 ] f = 5.3 cm h 1 = – f (n – 1) d R 2 n = + 2.0 cm (Rightside from V 1 ) h 2 = – f (n – 1) d R 1 n = + 0.8 cm (Rightside from V 2 ) s o = + 3.5 cm s i = – 10.2 cm (Virtual image at 10.2 cm from H 2 ) M = – s o s i = + 2.9 (Up-right and about 3 times magnified image)
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H 1 H 2 F f F b Object Image s o s i From the ray-tracing, s i = 10.2 cm on the left side from H 2 (Virtual image) y o = 1.1 cm and y i = 3.3 cm M = 3.0 ··········· Good agreement with calculation.
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