You place a magnifying glass of focal length 10 cm a distance of 8.5 cm away from a newspaper page. To someone looking through the magnifying glass, how large does the letter "a" on the page appear to be if its actual height on the page is 4.23 mm? Report your answer in mm. mm (+ 0.5 mm)
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- An object is placed in 5 cm in front of a lens, producing an image that is upright and 3 times larger, m = +3. Determine the position of the image and the focal length of the lens.A transparent photographic slide is placed in front of a converging lens with a focal length of 2.20 cm. An image of the slide is formed 14.5 cm from the slide. (a) How far is the lens from the slide if the image is real? (b) How far is the lens from the slide if the image is virtual? Step 1 (a) The real image case is shown in the ray diagram. or Object 1 Figure 1 + P 14.5 cm P Notice that here p + q = 14.5 cm, or q = 14.5 cm - p. The thin-lens equation, with focal length f = 2.20 cm, gives 1 - p² (14.5 cm)p+ p+q = F Description Image | cm² = 0. Using the quadratic formula to solve the above equation gives two solutions. The smaller solution is p= cm and the larger solution is p = cm cm. Both are valid solutions for the real image case.An object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is inverted relative to the object and is one-half the size of the object. The distance between the object and the image is 73.0 cm. (a) How far from the lens is the object? (b) What is the focal length of the lens? (a) do = (b) f=
- A double-convex lens has a focal length of 6.00cm. (a) How far away from an insect 2.00mm long should the lens be held in order to produce an upright image 5.00mm long? (b) What is the image distance? A. p = +3.6 cm and q = -9 cm B. p = +3.6 cm and q = +9 cm C. p = -3.6 cm and q = -9 cm D. p = -3.6 cm and q = +9 cmA typical human eye is nearly spherical, and is usually about 2.5 cm in diameter. Suppose a person first looks at a coin that is 2.4 cm in diameter and located 34.0 cm from her eye. Then, she looks up at a friend who is 1.8 m tall and 4.00 m away. Find the magnitude of the approximate size of each image (coin ℎI,coin and friend ℎI,friend) on her retina. (Hint: Just consider rays from the top and bottom of the object that pass through the center of the lens.) b) Are the images on her retina upright/inverted and/or virtual/real?A doctor examines a mole with a 15.5 cm focal length magnifying glass held 11.5 cm from the mole. (a) Where is the image? (Enter the image distance in meters. Include the sign of the value in your answer.) m (b) What is its magnification? (c) How big in millimeters is the image of a 4.65 mm diameter mole? mm
- Contact lenses are placed right on the eyeball, so the distance from the eye to an object (or image) is the same as the distance from the lens to that object (or image). A certain person can see distant objects well, but his near point is 46.0cm from his eyes instead of the usual 25.0cm .If the correcting lenses will be contact lenses, what focal length lens is needed ?A contact lens is made of plastic with an index of refraction of 1.38. The lens has 1.923 Check the sign conventions used in the lens-makers' equation. cm outer radius of curvature of +2.03 cm and an inner radius of curvature of +2.55 cm. What is the focal length of the lens?