3. What would happen to s' if s is very very large? (hint = object is at infinity) 4. For the lens of focal length f, what value of s (in terms of f) would give the magnification of -1?
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A: See below
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- 2. Show that the minimum distance between a real object and its real image given by a convergent lens of focal length f is 4f. Get q as a function of p from 1/p + 1/q = 1/f. Take the derivative of s = p +q to find the value of p for which s is minimum.5. Q7) Problem 53: Page 110 A camera with a 50 mm focal length lens is being used to photograph a person standing 3.00 m away. (a) How far from the lens must the film be? (b) If the film is 36 mm high, what fraction of a 1.75 m-tall person will fit on it? Note: First find Magnification then consider film height as image height and find the object height and compare it with1.75 m. (Ans: 0.0508 m, 100%)4. Assume selecting two Crown glasses with na = 1.52 and different Abbe numbers (va) to make following 4 lenses with the same focal length (f), but different lens shape factor (s). Which lens has the smallest spherical and chromatic aberrations? A. va = 81.8, s = 2. В. Va B. va = 81.8, s = 1. C. va = 66.8, s = 2. D. va = 66.8, s = 1. %3D %3D %3D
- An eyeglass prescription that specifies a power of -1.0 diopters is describing a lens that has a focal length of O a. + 1 meter O b.- 100 cm O C. - 1 meter O d. - 1 cm An object placed 25 cm to the left of a +20 cm focal length lens produces a real image 100 cm to the right of the lens. What is the magnification? O a. - 4 Ob. - 0.25 O C. + 2 O d. - 1* 32. Use ray diagrams to locate the images of the following objects: (a) an object that is 10 cm from a convex lens of +15-cm focal length and (b) an object that is 10 cm from a concave lens of -15-cm focal length. (c) Calculate the image locations for parts (a) and (b) using the thin lens equation. Check for consistency.Formula:D = 1/F *1 – meter; 40 – inches; 100 – centimeters; 1,000 – millimeters Please answer a, b andc. a. What is the power of a lens with 16cm focal length?b. In performing Retinoscopy, the working distance is 20 inches. What is the working distancelens?c. What is the focal length of a +2.00D? (In inches and in cm) Also answer this Computation:1. 13 inches 2. 50 cm 3. +2.50D4. +1.25D
- 5. A diverging lens has a focal length that has a magnitude of 32.0 cm. An object is placed 21.0 cm in front of this lens. Calculate the magnification.3. A cell phone has a fixed focal length lens of f = 3.85 mm = 0.00385 m and can take pictures over a range of distances from S. = 0.5 m to S,= infinity. Over what range of distances (S₁) does the lens in the cellphone have to move to focus an image at these two extremes in object distance?A camera lens used for taking close-up photographs has a focal length of 55.0 mm. The farthest it can be placed from the film is 33.0 mm. What is the closest object that can be photographed? answer choices a)8.25 cm b)3.30 cm c)6.60 cm d)5.08 cm
- 16.A converging lens has a focal length of 29 cm. An object is placed 10.2 cm in front of the lens. What is the location of the image? cm b. What is the magnification? c. Is the image upright, or inverted? ONLY 1 ATTEMPT IS ALLOWED FOR THIS PART. --Select-v d. Is the image in front of the lens, or behind the lens? ONLY 1 ATTEMPT IS ALLOWED FOR THIS PART. --Select-- v