please answer them correctly

1. [11 Points] SERCP11 25.1.P.003. An 173.10 CCD camera has a 104 mm focal length lens and can focus on objects from infinity to as near as 25.0 cm from the lens. Note: "f/3.10" means "an fnumber of 3.10." (a) Apply the denition of Fnumber. (b)r(c) Apply the thinelens equation. The lens must place the object's image on the CCD sensor. Cl'ick the hint button again ta remove this hint. (a) Determine the camera's aperture diameter in mm. :mm Determine the minimum and maximum distances in cm from the CCD sensor over which the lens must be able to travel during focusing. (b) minimum cm H (c) maximum :cm Need Help? 2. [l1 Points] SERCP11 25.2.P.010. A patient can't see objects closer than 31.1 cm and wishes to clearly see objects that are 20.0 cm from his eye. (a) [s the patient nearsighted or farsighted? O nearsighted O farsighted (b) If the eyelens distance is 2.09 cm, what is the minimum object distance ,5 from the lens? (Give your answer to at least three significant digits.) E... (c) What image position with respect to the lens will allow the patient to see the object? (Give your answer to at least three signicant digits.) Em (d) Is the image real or virtual? Is the image distance :7 positive or negative? (Select all that apply.) C] real image C] virtual image C] distance is positive C] distance is negative (e) Calculate the required focal length. E... (f) Find the power of the lens in diopters. E diopters (g) If a contact lens is to be prescribed instead, find ,5, q, and f, and the power of the lens. p :: cm (Give your answer to at least three significant digits.) q =I: cm (Give your answer to at least three significant digits.) r =: cm P = I: diopters A particular nearsighted patient can't see objects clearly beyond 19.1 cm from their eye. Determine the lens power required to correct the patient's vision and the type of lens required (converging or diverging). Neglect the distance between the eye and the corrective lens. HINT (a) the lens power required to correct the patient's vusuon (in chapters) diopters (b) the type of lens required (converging or diverging) O converging O diverging The two lenses of a compound microscope are separated by a distance of 23.0 cm. If the objective lens produces a lateral magnification of 11.0x and the overall magnification is 112x, determine the angular magnification of the eyepiece, the focal length of the eyepiece in cm, and the focal length of the objective lens in cm. HINT (a) the angular magnification of the eyepiece (b) the focal length of the eyepiece in cm cm (c) the focal length of the objective lens in cm cmA persun with a nearsighted eye has near and far points of 17 cm and so cm, respectively. (a) Assuming a lens is placed 2.0 cm from the eye, what power must the lens have to correct thls condition? (b) Suppose Contact lenses placed directly on the cornea are used to correct the person's eye. What is the power of the lens required in this case, and What is the new near point' Hint: The Contact lens and the eyeglass lens require slightly different powers because they are at different distances from the eye. P = dlopters cm new near point = A cataract-impaired lens in an eye may be surgically removed and replaced by a manufactured lens. The focal length required for the new lens is determined by the lens-to-retina distance, which is measured by a sonarlike device, and by the requirement that the implant provide for correct distant vision. (a) If the distance from lens to retina is 21.2 mm, calculate the power of the implanted lens in diopters. diopters (b) Since there is no accommodation and the implant allows for correct distance vision, a corrective lens for close work or reading must be used. Assume a reading distance of 28.0 cm, and calculate the power of the lens in the reading glasses. diopters