Suppose we have a left camera with focal point (0,0,0) and a right camera with focal point (5,0,0). Both cameras point in the z direction with a focal length of 1. Choose a point in 3D. Calculate where it will appear in both cameras. Then demonstrate that you can use the formula Z = fT/d to recover the z coordinate of the point

Suppose we have a left camera with focal point (0,0,0) and a right camera with focal point (5,0,0). Both cameras point in the z direction with a focal length of 1. Choose a point in 3D. Calculate where it will appear in both cameras. Then demonstrate that you can use the formula Z = fT/d to recover the z coordinate of the point

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter2: Geometric Optics And Image Formation

Section: Chapter Questions

Problem 150AP: What is the angular size of the Moon if viewed from a binocular that has a focal length of 1.2 cm...

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What is the angular size of the Moon if viewed from a binocular that has a focal length of 1.2 cm for the eyepiece and a focal length of 8 cm for the objective? Use the radius of the moon 1.74106 m and the distance of the moon from the observer to be 3.8108m .
A double convex lens has radii of 5 cm and 20 cm, a thickness of 2 cm and an index of 1.5. Locate the principal planes and focal points and compute the image distance for an object 16.4 cm in front of V₁. Determine the ffl and bfl.
Consider the compound optical system shown in the diagram, where two thin lenses of focal lengths 7.5 cm (left lens) and 35 cm (right lens) are separated by a distance 25 cm. Part (a) If a 2.9 cm tall object is placed as indicated in part (a), and the image formed is 0.74 cm tall, what is the magnification of the first lens? M1 = - 0.26 Part (b) Using the information from part (b), calculate the image distance, in centimeters, from the first lens. di1 = 3.825 Part (c) What is the magnification of the second lens? M2 = Part (d) What is the total magnification of this compound optical system? M = Part (d) Is the image created by the second lens real or virtual? Is it upright or inverted? Virtual and inverted. Real and inverted. Virtual and upright. Real and upright.
compound microscope has a tube length of 22.0 cm and an objective lens of focal length 8.0 cm. 1) If it is to have a magnifying power of 200x, what should be the focal length of the eyepiece? Assume a near point of 25 cm. (Express your answer to two significant figures.) cmcm 2) If the final image is viewed at infinity, how far from the objective should the object be placed? (Express your answer to two significant figures.)
You make the lenses shown in Fig.2 from flat glass disks (n = 1, 5) using a machine capable of producing a radius of curvature of 40 cm or 60 cm.a machine capable of producing a radius of curvature of 40 cm or 60 cm. In a lens in whichIn a lens where only one radius of curvature is required, you choose the radius of 40 cm. Then you use the lensesone by one to form an image of the sun. Determine(a) the focal length f and the type of image (real or virtual) of the biconvex lens 1;(b) the focal length f and the type of image (real or virtual) of the plano-convex lens 2;(c) the focal length f and the type of image (real or virtual) of the convex-plane lens 3;(d) the focal length f and the type of image (real or virtual) of the biconcave lens 4;(e) the focal length f and the type of image (real or virtual) of the plano-concave lens 5;(f) the focal length f and the type of image (real or virtual) of the convexconcave lens 6.
Consider two thin lenses with focal lengths f1 = 10.0 cm and f2 = −15.0 cm. The lenses are placed in contact. Calculate the equivalent focal length of the lenses. What is the image distance of an object placed 20.0 cm from the lenses? Draw a diagram of the optical system and label the relevant quantities
Two thin lenses with focal lengths of magnitude 15.0 cm, the first diverging and the second converging, are placed 12.00 cm apart. An object 3.00 mm tall is placed 5.50 cm to the left of the first (diverging) lens. Where is the image formed by the first lens located? Please provide a detailed explanation of the process. How far from the object is the final image formed? Please describe the steps taken to reach to your conclusion.
A compound lens system consists of two converging lenses, one at x=−20.0cm with focal length f1=+10.0cm, and the other at x=+20.0cm with focal length f2=+8.00cm. (Figure 1) An object 1.00cm tall is placed at x=−50.0cm. (A) What is the location of the final image produced by the compound lens system? Give the x coordinate of the image. Express your answer in centimeters, to three significant figures or as a fraction.
Please help me with the following question and explain, make sure the answer is correct, thank you !! A thin double-convex lens with focal length f� is used to magnify the date stamp on an old coin. The numerals in the date stamp have an average height hℎ. The coin is placed at a distance of 3f/43�/4 from the lens, and the image is viewed with the eye placed very close to the lens. Assume that the near point of the observer is dnp�np. In terms of f�,dnp�np, and hℎ, determine the (a) image distance, (b) lateral magnification, (c) angular magnification, and (d) height of the numerals as viewed through the magnifier. Part G. Determine the angular magnification. Express your answer in terms of dnp�np and f�.
If the object is 10 m away and the image is 9.8 cm, what is the focal length? (Hint: use Lab Manual Equation 4.2: 1 / o+ 1 / i = 1 / f) Suppose one estimated the focal length by assuming f = i. What is the discrepancy between this approximate value and the true value?
Two lenses are mounted d = 39 cm apart on an optical bench. The focal length of the first lens is f1 = 9.8 cm and that of the second lens is f2 = 3.1 cm. An object of height ho = 4.9 cm is placed at a distance of do = 24 cm in front of the first lens. Part (a) Ignoring the second lens for now, at what distance, in centimeters, behind the first lens is the object’s image formed by that lens? di =? Part (b) Calculate the magnification of that image, including its sign. m =? Part (c) Which choice best describes that image? choose the correct answer 1) Real and inverted 2) Virtual and inverted 3) Virtual and upright. 4) Real and upright. 5) None of these. Part (d) Now consider the two-lens system and the final image it forms, i.e., the image created by the second lens. What is the distance, in centimeters, between the object and its final image? D =?
In order to determine the focal length f of a convergent lens, an object and a screen are separated by the distance L. Two positions of the lens are sought, both between the object and the screen, so that sharp images are formed on the screen, one enlarged and one reduced. Let D be the distance found between these two positions of the lens. About this situation, answer the following questions, starting with (a).(b) What condition must f satisfy for the method to work? f < L/4 f > L/4 f < L/2 f > L/2 f > 2L f < 2L f > 4L f < 4L (a) What is the value of f? f = (L² - D²)/2D f = (L² - D²)/2L f = (L² - D²)/4D f = (L² - D²)/4L f = (L² + D²)/4D f = (L² + D²)/4L