HW 9 Worked Out

# Object distance form the retina of the eye isd o 170

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object distance form the retina of the eye isd o = (1.70 - 0.020m) 1.58 = do 1/f = 1/-1.58m + 1/ P = 1/f = -0.63 diopters What is your uncle's near point when wearing these glasses? image distance form the lens is d i =0.21m - 0.020m 0.28 = di d o = [ (1/f) - (1/d 1 )] -1 = 34 cm 27.37 Your favorite aunt can read a newspaper only if it is within 10.0 of her eyes. Is your aunt nearsighted or farsighted? Nearsighted Should your aunt wear glasses that are converging or diverging to improve her vision? diverging How many diopters of refractive power must her glasses have if they are worn 1.80 from the eyes and allow her to read a newspaper at a distance of 24.0 ? 27.33

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A nearsighted person wears contacts with a focal length of 6.0 . If this person's far-point distance with her contacts is 8.5 , what is her uncorrected far-point distance? 6.0 27.21 A myopic student is shaving without his glasses. If his eyes have a far point of 1.7 , what is the greatest distance he can stand from the mirror and still see his image clearly? 27.55 A jeweler examines a diamond with a magnifying glass. If the near-point distance of the jeweler is 20.0 , and the focal length of the magnifying glass is 7.50 , find the angular magnification when the diamond is held 5.77 from the magnifying glass. Assume the magnifying glass is directly in front of the jeweler's eyes. M = 20 / 5.77 = 3.47 27.64 A compound microscope uses a 70.0 lens as the objective and a 1.8 lens as the eyepiece. The specimen will be mounted 142 from the objective. Determine the barrel length. 1/s +1/s' = 1/f 1/.142 + 1/s' = 1/ .07 = .138 then add this to .142 = .28 1/.28 + 1/s' = 1/.018 = .0192 .138 + .0192 = .16m Determine the total magnification produced by the microscope.
Mtot = - (di)(N) / (Fobjective)(Feyepiece) N = nearpoint (~25cm for most people) Mtot = - (.25)(.142) / (.018)(.07) Mtot = - 27
• Spring '12
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