An eye specialist prescribes spectacles having combination of convex lens of focal length 40 cm in contact with a concave lens of focal length 25 cm. The power of this lens combination in diopters is (a) + 1.5 (b) - 1.5 (c) + 6.67 (d) – 6.67.
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- A slide projector has a converging lens whose focal length is 128.00 mm. (a) How far (in meters) from the lens must the screen be located if a slide is placed 129.44 mm from the lens? If the slide measures 24.0 mm (width) x 36.0 mm (height), what are the magnitudes of the (b) width (in mm) and (c) height (in mm) of its image? (a) Number i Units (b) Number i Units (c) Number i UnitsA person sees clearly wearing eyeglasses that have a power of −2.00 diopters when the lenses are 2.30 cm in front of the eyes. (a) What is the focal length of the lens? cm(b) Is the person nearsighted or farsighted? nearsightedfarsighted (c) If the person wants to switch to contact lenses placed directly on the eyes, what lens power should be prescribed? dioptersAn individual is nearsighted; his near point is 11.0 cm and his far point is 51.0 cm. (a) What lens power is needed to correct his nearsightedness? 1.96 X The response you submitted has the wrong sign. diopters (b) When the lenses are in use, what is this person's near point? 11 X Your response differs from the correct answer by more than 10%. Double check your calculations. cm
- In a two-lens system, the focl length of the lens is f1 = 4.00 cm, and that of then lens 2 is f2 = 8.00 cm. The distance between the lenses is 16 cm. If an object O is 2.00 cm high and is placed 6.00 cm in front of the lens 1, where is the final image through the two-lens system?A prescription for an eyeglass lens calls for +3.50 diopters. The lensmaker grinds the lens from a “blank” withand convex front surface of radius of curvature n=1.56of 30.0 cm. What should be the radius of curvature of theother surface?An optometrist needs to prescribe corrective lenses for a person whose near point is q = 58.8 cm. If the patient is to see objects clearly at a distance of p = 25.0 cm, calculate the following. (Neglect the distance from the lens to the eye.) (a) focal length (in cm) of the appropriate corrective lens cm (b) power (in diopters) of the appropriate corrective lens diopters
- In sports photography, one often needs a long telephoto lens with a large aperture. As a designer, you will work with engineers to design some new lens.“ (i) Suppose you want to have an 500mm lens with aperture f/4. Calculate the required iris diameter. Round your answer to the nearest integer and state its unit. “ |(ii) Suppose you want to have a 700mm lens with a surface area of 12271.8463mm². Calculate the f-number. Correct your answer to 2_decimal places.(part 1 of 3) A person with a nearsighted eye has near and far points of 10 cm and 23 cm, respectively. Assuming a lens is placed 2.7 cm from the eye, what power must the lens have to correct this condition? Answer in units of diopter. (part 2 of 3) Contact lenses placed directly on the cornea are used to correct the eye. What is the power of the lens required in this case? Answer in units of diopter. (part 3 of 3) 1 What is the new near point? Answer in units of cm.Problem 12: A student wears eyeglasses of power P = -3.75 diopter to correct nearsightedness. The glasses are designed to be worn d = 1.3 cm in front of the eye. Part (a) Input an expression for the far point the student can see without correction, do. Part (b) Numerically, what is the distance in meters?