A nearsighted person might correct his vision by wearing diverging lenses with focal length f = -50 cm. When wearing his glasses, he looks not at actual objects but at the virtual images of those objects formed by his glasses. Suppose he looks at a 12-cm-long pencil held vertically 2.0 m from his glasses. Use ray tracing to determine the location and height of the image.
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A nearsighted person might correct his vision by wearing diverging lenses with focal length f = -50 cm. When wearing his glasses, he looks not at actual objects but at the virtual images of those objects formed by his glasses. Suppose he looks at a 12-cm-long pencil held vertically 2.0 m from his glasses. Use ray tracing to determine the location and height of the image.
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- Problem 5: Two converging lenses, one with a focal length of 22.0 cm and the other with a focal length of 10.0 cm, are placed 25.0 cm apart with an object placed 50.0 cm in front of the converging lens. Determine (a) the position and (b) the magnification of the final image formed. (c) Show by ray tracing that the image is virtual or real, and determine the image distance and magnification. You must draw the ray diagram to scale to you may also use drawing/drafting software to draw the diagram.An object is located 16.6 cm to the left of a diverging lens having a focal length f = −32.4 cm. What is the magnification of the image? Group of answer choices 0.661 2.13 0.346 1.17An objective of an astronomical telescope has a diameter of 12.5 cm and a focal length of 85.0 cm. When it is used with an eyepiece having a focal length of 2.50 cm and a diameter of 1.50cm, what will be (a) the angular magnification, (b) the diameter of the exit pupil, (c) the object-field angle, (d) the image-field angle, and (e) the eye relief?
- 6. A nearsighted man uses his ideally prescribed eyeglasses that have a refractive power of -3.00 diopters. He would like a prescription for contact lenses. What is the correct contact lens distance of 2.0 cm from his eyes? diopters ssf60 ss prescription if he normally wears his eyeglasses a f60 ssf60 pre 0 ssf60 staA 2.0 cm tall object is 40 cm in front of a converging lens that has a 20 cm focal length. Use ray tracing to find the position and height of the image, using a ruler or paper with a grid. Calculate the image position and height and compare with your answer to (a). Is the image real or virtual?What is the focal length of the lens in your eye when you can focus on an object at your near point? Assume that the distance from your lens to the back of your eye is 2.0 cm, that your near point is 21 cm in front of your lens, and that the liquid behind the lens has n=1.00 just like the air in front of your lens. (a) 1.8 cm (b) 18 cm (c) 2.1 cm (d) 21 cm (e) None of the above.
- It is your first day at work as a summer intern at an optics company. Your supervisor hands you a diverging lens and asks you to measure its focal length. You know that with a converging lens, you can measure the focal length by placing an object a distance ss to the left of the lens, far enough from the lens for the image to be real, and viewing the image on a screen that is to the right of the lens. By adjusting the position of the screen until the image is in sharp focus, you can determine the image distance s′s′ and then use the equation 1s+1s′=1f1s+1s′=1f, to calculate the focal length ff of the lens. But this procedure won't work with a diverging lens−−by itself, a diverging lens produces only virtual images, which can't be projected onto a screen. Therefore, to determine the focal length of a diverging lens, you do the following: First you take a converging lens and measure that, for an object 20.0 cmcm to the left of the lens, the image is 29.7 cmcm to the right of the lens.…Problem 103. A) How do the lenses in glasses designed to correct nearsighted eyes with no astigmatism differ from the lenses designed to correct nearsighted eyes with astigmatism? B) Why can reshaping the cornea with a laser correct the far vision of a nearsighted person?A technician in a pathology laboratory is using a compound microscope to examine tissue samples. The focal length of the objective of the microscope is 0.35 cm, and the focal length of the eyepiece is 2.5 cm. The two lenses are separated by 27 cm. One day, the technician forgot to wear his contact lenses, which have a prescription of +1.5 diopters and allow him to see objects clearly at 25 cm. When he looks into the microscope without wearing his contacts, what is the approximate angular magnification of the scope? Number Units
- A farsighted person can read printing as close as 25.0 cm when she wears contacts that have a focal length of 38.0 cm. One day, however, she forgets her contacts and uses a magnifying glass, as in the drawing. It has a maximum angular magnification of 7.42 for a young person with a normal near point of 25.0 cm. What is the maximum angular magnification that the magnifying glass can provide for her? Virtual Magnifying glass Object LE ho dj. imageA nearsighted person has a far point of 25.3cm and is prescribed contact lenses to correct her vision. What lens strength (a.k.a., lens power), in Diopters, should be prescribed? Give your answer using the usual convention of positive values for converging lenses and negative values for diverging lenses.A converging lens has a focal length of 20.0 cm. Construct accurate ray diagrams for object distances of (i) 60.0 cm and (ii) 6.67 cm. (a) From your ray diagrams, determine the location of each image. Image (i) distance = Image (ii) distance =