Suppose you have a 0.750 D prescription for contact lenses.a. What’s your near point? b. What would your prescription be, in diopters, for glasses worn 2.20 cm from the eyes?
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Suppose you have a 0.750 D prescription for contact lenses.
a. What’s your near point?
b. What would your prescription be, in diopters, for glasses worn 2.20 cm from the eyes?
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- Two converging lenses having focal length of f1 = 10.0 cm and f2 = 20.0 cm are placed d = 50.0 cm apart, as shown in Figure P23.44. The final image is to be located between the lenses, at the position x = 31.0 cm indicated. (a) How far to the left of the first lens should the object be positioned? (b) What is the overall magnification of the system? (c) Is the final image uptight or inserted? Figure P23.44(a) What is the maximum angular magnification of an eyeglass lens having a focal length of 18.0 cm when used as a simple magnifier? (b) What is the magnification of this lens when the eye is relaxed?A camera with a 50.0-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 36.0 mm high, what fraction of a 1.75-m-tall person will fit on it? (c) Discuss how reasonable this seems, based on your experience in taking or posing for photographs.
- A converging lens made of crown glass has a focal length of 15.0 cm when used in air. If the lens is immersed in water, what is its focal length? (a) negative (b) less than 15.0 cm (c) equal to 15.0 cm (d) greater than 15.0 cm (e) none of those answersSuppose you have a 0.750 D prescription for contact lenses.a. What’s your near point?b. What would your prescription be, in diopters, for glasses worn 2.20 cm from the eyes?A. A man with myopia has a far point of 20cm. What power contact lens will correct his vision? B. Repeat the same problem for glasses held 1.5cm from his eyes.
- nearsighted man cannot see clearly objects farther than 30.0 cm from their eyes. To prescribe them corrective lenses in the form of glasses that will sit 1.90 cm from their eyes. The corrective lenses will be planoconcave and made of polycarbonate (n = 1.586). a. What is the focal length of the corrective lens? b. What is the radius of curvature of the concave side of the lens? A 4.00 cm tall object is placed 66.0 cm in front of the corrective lens. c. Where will the image appear? d. What is the height of the image? e. Is the image upright or inverted? Explain how you know. f. Draw a ray diagramSuppose we model the cornea of the human eye as a thin lens with a focal length of 2.00 cm. We also assume the material to have a refractive index of 1.38. If its front surface has a radius of curvature of +5.00 mm, what is the radius of curvature of the backside of the cornea?A. –6.16 mmB. –0.90 mmC. +3.02 mmD. +14.6 mmA teenage with hyperopia has an abnormal near point of 1.0 m. What power of corrective lens is required to correct his vision provided that the normal near point of the human eye is 25 cm? Assume that the distance between the lens and the eye is zero, or equivalently, the tennager is wearing contact lenses. a. + 1.5 D b. + 2.0 D c. + 2.5 D d. + 3.0 D e. + 3.5 D
- A teenage with hyperopia has an abnormal near point of 1.0 m. What power of corrective lens is required to correct his vision provided that the normal near point of the human eye is 25 cm? Assume that the distance between the lens and the eye is zero, or equivalently, the tennager is wearing contact lenses. a. + 1.5 D b. + 2.0 D c. +2.5 D d. + 3.0 D e. + 3.5 DPresbyopia is the tendency to gradually become far-sighted (hyperopic) as you age. If you have normal vision when you are young, you have a near point of 25 cm.A. If the distance between your eye's lens and retina is 1.73 cm, what is the focal length of your eye's lens when you look at an object at your near point?f = _____ cmB. As you get older, suppose that the near point of your eye increases to 46 cm. What is the focal length of your eye's lens when you look at an object at your near point now?f = _______ cmC. With your near point at 46 cm, what is the focal length of the corrective lens (placed directly in front of your eye's lens) which you would need to look at an object that is 25 cm in front of your eye?f = _____ cmA biconvex lens is made of glass of refractive index 1.50. The radii of curvature of the surfaces are 25.0 cm and 10.0 cm. a. What is the focal length of the lens? What is the focal length of the lens when placed in water of refractive index 1.33?
