Floaters. The floaters you see when viewing a bright, featureless background are diffraction patterns created by defects in the vitreous humor. Sighting through a pinhole sharpens the diffraction pattern, making the floaters more easily seen. If you also view a small circular dot through the pinhole, you can approximate the defect's size. Assume that the floater (defect) diffracts light as a circular aperture does, with the size of the defect being equal to the diameter of the circular aperture. Adjust the dot's distance L from your eye (or eye lens) until the dot and the defect appear to have the same size in your view. That is, until they have the same diameter D, on the retina at distance L, = 1.5 cm from the front of the eye, as suggested in Figure (a). Assume that the wavelength of visible light is A = 500 nm. If the dot has diameter D = 1.0 mm and is distance L = 60 cm from the eye and the defect is x = 5.5 mm in front of the retina as in Figure (b), what is the diameter of the defect?
Floaters. The floaters you see when viewing a bright, featureless background are diffraction patterns created by defects in the vitreous humor. Sighting through a pinhole sharpens the diffraction pattern, making the floaters more easily seen. If you also view a small circular dot through the pinhole, you can approximate the defect's size. Assume that the floater (defect) diffracts light as a circular aperture does, with the size of the defect being equal to the diameter of the circular aperture. Adjust the dot's distance L from your eye (or eye lens) until the dot and the defect appear to have the same size in your view. That is, until they have the same diameter D, on the retina at distance L, = 1.5 cm from the front of the eye, as suggested in Figure (a). Assume that the wavelength of visible light is A = 500 nm. If the dot has diameter D = 1.0 mm and is distance L = 60 cm from the eye and the defect is x = 5.5 mm in front of the retina as in Figure (b), what is the diameter of the defect?
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Transcribed Image Text:*Chapter 36, Problem 030 Go
Flying Circus of Physics
Floaters. The floaters you see when viewing a bright, featureless background are diffraction patterns created by
defects in the vitreous humor. Sighting through a pinhole sharpens the diffraction pattern, making the floaters
more easily seen. If you also view a small circular dot through the pinhole, you can approximate the defect's
size. Assume that the floater (defect) diffracts light as a circular aperture does, with the size of the defect being
equal to the diameter of the circular aperture. Adjust the dot's distance L from your eye (or eye lens) until the
dot and the defect appear to have the same size in your view. That is, until they have the same diameter D1 on
the retina at distance L, = 1.5 cm from the front of the eye, as suggested in Figure (a). Assume that the
wavelength of visible light is A = 500 nm. If the dot has diameter D = 1.0 mm and is distance L = 60 cm from
the eye and the defect is x = 5.5 mm in front of the retina as in Figure (b), what is the diameter of the defect?
Eye
lens
Circular
Retina
Retina
dot
Defect
D.
L
(a)
(b)
d =
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