Two-lens systems. In the figure, stick figure O (the object) stands on the common central axis of two thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closer to O, which is at object distance p₁. Lens 2 is mounted within the farther boxed region, at distance d. The table refers to a different combination of lenses and different values for distances, which are given in centimeters. The type of lens is indicated by C for converging and D for diverging; the number after C or D is the distance between a lens and either of its focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance 2 for the image produced by lens 2 (the final image produced by the system) and (b) the overall lateral magnification M for the system, ncluding signs. 옷으 Lens 1 (a) P₁ +29 D, 17 16 D, 9.9 d Lens 2 1₂ (b) (c) (d) (e) M R/V I/NI Side

Two-lens systems. In the figure, stick figure O (the object) stands on the common central axis of two thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closer to O, which is at object distance p₁. Lens 2 is mounted within the farther boxed region, at distance d. The table refers to a different combination of lenses and different values for distances, which are given in centimeters. The type of lens is indicated by C for converging and D for diverging; the number after C or D is the distance between a lens and either of its focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance 2 for the image produced by lens 2 (the final image produced by the system) and (b) the overall lateral magnification M for the system, ncluding signs. 옷으 Lens 1 (a) P₁ +29 D, 17 16 D, 9.9 d Lens 2 1₂ (b) (c) (d) (e) M R/V I/NI Side

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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Two-lens systems. In the figure, stick figure O (the object) stands on the common central axis of two thin, symmetric lenses, which are mounted in the boxed regions. Lens 1 is mounted within the boxed region closer to O, which is at object distance p1. Lens 2 is mounted within the farther boxed region, at distance d. Each problem in the table refers to a different combination of lenses and different values for distances, which are given in centimeters. The type of lens is indicated by C for converging and D for diverging; the number after C or D is the distance between a lens and either of its focal points (the proper sign of the focal distance is not indicated). Find (a) the image distance iz for the image produced by lens 2 (the final image produced by the system) and (b) the overall lateral magnification M for the system, including signs. Also, determine whether the final image is (c) real or virtual, (d) inverted from object O or noninverted, and (e) on the same side of lens 2 as…
Problem 1: Two convex lenses which share a common principal axis are separated by a distance which is greater than the sum of their focal lengths, as shown. -L- F1 F1 F2 F2 lens 1 lens 2 Lens 1, with focal length F1, is placed to the left. Lens 2, with focal length F2, is placed a distance L to the right of the first lens. Part (a) An object is placed a distance do1 =26.5 cm to the left of lens 1 which has focal length F =4.8 cm. Ignore the existence of lens 2 for the moment. What is the position of the image, d;,1 created by lens 1? Include the sign which is consistent with standard sign conventions. Numeric : A numeric value is expected and not an expression. di,1 Part (b) Calculate the magnification, M1, of lens 1 for the object as positioned in the previous step. Be certain to include the sign that is consistent with the standard conventions. Numeric : A numeric value is expected and not an expression. M1 = Part (c) Which statement best describes the image created by lens 1?…
An object is placed near a lens as shown below. The dots represent the focal points of the lens. -0.10 +0.10 At what distance from the lens could the object be placed to produce a virtual image that is smaller than the object (where M < 1)? There is no place where this is possible at -0.10 m only at either -0.25 m or +0.25 m at either -0.05 m or +0.05 m
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Figure 4 shows a small lightbulb suspended at distance di = 250 cm above the surface of the water in a swimming pool where the water depth is d2 = 200 cm. The bottom of the pool is a large mirror. How far below the mirror surface is the image of the bulb? (Hint: Assume that the rays are close to a vertical axis through the bulb, and use the small-angle approximation in which sin 0= tan 0= 0.) di d2 Mirror Figure 4
A converging lens has a focal length of 4.0 cm A 1.5 cm object is placed 6.0 cm to the left of the lens (as shown in the diagram below) Part A The distance of the image will be ανα ΑΣφ d; = cm Submit Request Answer Part B The height of the image will be Πνη ΑΣφ ? h4 = cm Submit Request Answer Part C The image is and O real, upright O real, inverted O virtual, inverted O virtual, upright
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Please only typing answer.. Two thin lenses with focal lengths f1=+150 mm and f2=-100 mm are located d=60 mm apart in air. a) Find, for the lens combination, the effective focal length (feff) and the distances from the lens centres to the principal points (h1 and h2) and the distance between the principle planes (); b) Sketch the system, showing the principal planes and labelling the distances in a). Describe (numerically) the effect of adding the lens 2 to power of the optical system.
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Case 5: Object located in focus (d0= F'). The figure below shows an arrow-shaped object, placed in front of a convex lens at a distance d0 equal to a focal length (d0=F'). Draw the following rays in the figure: ray parallel to the optical axis, central ray. Don't forget to put the direction on each ray, both the incident rays and the transmitted rays. Label each ray with its name. Image characteristics for Case 5: Object located in focus (d0= F'). Choose the ones that apply: a) Virtual b) Real c) Inverted d) Increased e) No image is formed f) Equal size g) Reduced h) Erect Case 6: Object located between the focus and the vertex of a convex lens (d0< F'). The figure below shows an arrow-shaped object, placed in front of a convex lens at a distance d0 less than a focal length (d0<F'). 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…
Case 2: Object distance d0 >R. The figure below shows an arrow-shaped object, located in front of a convex lens at a distance d0 greater than the radius of curvature R. Draw the following rays in the figure: i) Ray parallel to the optical axis; ii) Focal ray; iii) Central ray, iv) Draw the image of the arrow, v) Indicate in the same figure, from where to where di (image-lens distance) is. Use the figure, Do not substitute it with any other figure. Don't forget to put the direction on each ray, both the incident rays and the transmitted rays. Label each ray. Image characteristics for Case 2: Object distance d0 > R. Choose the ones that apply: a) Virtual b) Real c) Inverted d) Increased e) No image is formed f) Equal size g) Reduced h) Erect