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The plano-convex lens shown below, the magnitudes of the radius of the front convex face is 100 mm. The lens is made from plastic material with index of refraction 1.60.
(a) Calculate the power of the lens in diopter.
(b) If an object is located 50 cm from the lens, show by calculation the characteristics of the image formed.
(c) Sketch a figure showing the lens, the focal point, positions of the object and image, and their relative sizes.
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- An object is placed 30 cm from the center of a 50-cm-focal-length converging lens. (a) Draw a ray diagram and show where the image is located. (Your diagram MUST be legible and correct to earn points). (b) Find the location of the image analytically using the thin lens equation. (c) What is the magnification? (Pay attention to the signs).A 10-cm-tall object is located in front of a diverging lens with a power of -5 diopters. 1) Calculate the image height hI if the object is located 42 cm from the lens. Follow the sign convention. (Express your answer to two significant figures.) 2) Is the image upright or virtual?Lenses with given radii. Object O stands in front of a thin lens, on the central axis. For this situation, each problem in the table (below) gives object distance p, index of refractionnof the lens, radius r of the nearer lens surface, and radius rɔ of the farther lens surface. (All distances are in centimeters.) Find (a) the image distance i and (b) the lateral magnification m of the object, including signs. Also, determine whether the image is (c) real or virtual, (d) inverted from object O or noninverted, and (e) on the same side of the lens as object O or on the opposite side. (a) (b) (c) (d) (e) m R/V I/NI Side r1 r2 +78 1.56 +33 -48 (a) Number i Units i Units (b) Number MacBook Pro
- Use the worked example above to help you solve this problem. The near point of a patients eye is 50.0 cm. (a) What focal length must a corrective lens have to enable the eye to see clearly an object 28.5 cm away? Neglect the eye-lens distance. 50 x cm (b) What is the power of this lens? 2 diopters (c) Repeat part (b), taking into account the fact that, for typical eyeglasses, the corrective lens is 2.00 cm in front of the eye. 2.26 X dioptersQuestion is belowAn object 0O’, 9.0 cm high, is 17 cm in front of a concave lens with focal length -26 cm. (a) Determine the position and height of its image by Ray Diagram. (b) Compute the position and height of its image, and the magnification with the Lens equation and magnification equation. P F O' C