Suppose you know the six cardinal points of an optical system (two focal points F1 and F2, two principal points H1 and H₂ and two nodal points N₁ and N₂), complete the three special rays to locate the image position formed by this system. Label the focal lengths, object distance and image distance. [Hint: A ray parallel to optical axis, turns to the focal point F2 after passing through the principle plane H₂. A ray through Fi will turn to parallel after H₁. A ray moving towards to N₁ will emerge at N₂ with the same angle. In a thick lens, N overlaps with H point if the refractive index is the same on both sides of the lens.] F₁ H1 N₁ H₂ N₂ F₂

Suppose you know the six cardinal points of an optical system (two focal points F1 and F2, two principal points H1 and H₂ and two nodal points N₁ and N₂), complete the three special rays to locate the image position formed by this system. Label the focal lengths, object distance and image distance. [Hint: A ray parallel to optical axis, turns to the focal point F2 after passing through the principle plane H₂. A ray through Fi will turn to parallel after H₁. A ray moving towards to N₁ will emerge at N₂ with the same angle. In a thick lens, N overlaps with H point if the refractive index is the same on both sides of the lens.] F₁ H1 N₁ H₂ N₂ F₂

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Problem 5: A negative lens L1 is shown. It has a focal length of 100 mm. An object 40 mm in height is placed 170 mm from the lens as shown. Using ray trace rules, dray the three rays to locate the object to scale on the diagram. Locate the image and estimate q, Mr and hima graphically. Next calculate q, MT and himg: Compare to your diagram. Explain any discrepancies. (Drawing to scale, 1 block = 10 mm). 1 Block = 10 mm
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Determine the image distance d; for an object d, = 6.100 cm from a diverging lens with radius of curvature R = 4.880 cm %3D and index of refraction 1.850. Express your answer as a positive quantity. object do |d;| = cm What is the magnification m of the object? Be sure to insert the proper sign if needed. m =
Answer the following: a) b) Case 8: Consider the case of an object (draw yourself on the diagram, an arrow erect on the optical axis) located at point 2F'. Draw the following rays in the figure: ray parallel to the optical axis, focal ray, central ray, draw the image of the arrow, indicate in the same figure from where to where di is (image-lens distance). Don't forget to put the direction on each ray, both the incident rays and the transmitted rays. Label the rays with their names. c) Case 9: Consider the case of an object (draw yourself on the diagram, an arrow erect on the optical axis) located between 2F' and F', that is F' < d0 < 2F'. Draw the following rays in the figure: ray parallel to the optical axis, focal ray, central ray, draw the image of the arrow, indicate in the same figure from where to where di is (image-lens distance). Don't forget to put the direction on each ray, both the incident rays and the transmitted rays. Label the rays with their names.
EXERCISE 1.2 SOLVE: Repeat the problem in exercise 1.1 using the same lenses except for the following changes:(a) The first lens is a diverging lens having a focal length of magnitude 40.0 cm.(b) Both lenses are diverging lenses having focal lengths of the magnitudes as in the problem in exercise 1.1. NOTE: The final answer should be: (a) I1=200cm; (b) s'2=-37.5cm; y'2=−1.80cm; (c) The final image is s'=37.5cm to the left of the second lens, y'=1.80cm, inverted. EXERCISE 1.1 (for reference) A 1.20cm tall object is 50.0cm to the left of a converging lens of focal length 40.0 cm. A second converging lens, this one has a focal length of 60.0cm, is located 300.0cm to the right of the first lens along the same optic axis.(a) Find the location and height of the image (call it I1) formed by the lens with a focal length of 40.0cm.(b) I1 is now the object for the second lens. Find the location and height of the image produced by the second lens. This is the final image produced by…
A plane mirror is 10 m away from and parallel to a second plane mirror, as shown in the figure. An object is positioned 4 m from Mirror 1. Enter the magnitudes d1,i,i=1,2,…,5, of the distances from Mirror 1 of the first five images formed by Mirror 1 as a comma‑separated list. d1,i = ? m Enter the magnitudes d2,j,j=1,2,…,5, of the distances to Mirror 2 of the first five images formed by Mirror 2 as a comma‑separated list. d2,j = ? m
Using a ruler or any straight edge and a scale of your choice and applying the steps in ray diagramming, complete the ray diagramming for Cases 2 to 5 in order to prove the correctness of the image characteristics of the objects in the specified positions as indicated in Table 1.
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MY QUESTION: Refer back to problem # 4, part c, on the two-lens system. Draw a ray diagram using 3 rays from object # 2 – the object for lens 2 – to identify the final image produced by the two-lens system. Make your diagram neat and clearly labeled. [Given the size of the two lens system, I recommend making the drawing on a separate page with the page turned sideways in landscape orientation.]
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