30 Go bright, featureless background are diffraction patterns of defects in the vitreous humor that fills most of your eye. Sighting through a pinhole sharpens the diffraction pattern. If you also view a small circular dot, you can approximate the defect's size. Assume that the defect diffracts light as a circular aperture does. Adjust the dot's distance L from your eye (or eye lens) until the dot and the circle of the first minimum in the diffraction pattern appear to have the same size in your view. That is, until they have the same Floaters. The floaters you see when viewing a diameter D' on the retina at distance L' = 2.0 cm from the front of the eye, as suggested in Fig. 36-42a, where the angles on the two sides of the eye lens are equal. Assume that the wavelength of visi- ble light is A = 550 nm. If the dot has diameter D = 2.0 mm and is distance L = 45.0 cm from the eye and the defect is x = 6.0 mm in front of the retina (Fig. 36-42b), what is the diameter of the defect? Eye Circular Retina Retina lens dot Defect D' D' L -L'-| (a) (b)

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Chapter1: Units, Trigonometry. And Vectors
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30 Go
bright, featureless background are diffraction patterns of defects
in the vitreous humor that fills most of your eye. Sighting through
a pinhole sharpens the diffraction pattern. If you also view a
small circular dot, you can approximate the defect's size. Assume
that the defect diffracts light as a circular aperture does. Adjust the
dot's distance L from your eye (or eye lens) until the dot and the
circle of the first minimum in the diffraction pattern appear to
have the same size in your view. That is, until they have the same
Floaters. The floaters you see when viewing a
diameter D' on the retina at distance L' = 2.0 cm from the front of
the eye, as suggested in Fig. 36-42a, where the angles on the two
sides of the eye lens are equal. Assume that the wavelength of visi-
ble light is A = 550 nm. If the dot has diameter D = 2.0 mm and is
distance L = 45.0 cm from the eye and the defect is x = 6.0 mm in
front of the retina (Fig. 36-42b), what is the diameter of the defect?
Eye
Circular
Retina
Retina
lens
dot
Defect
D'
D'
L -L'-|
(a)
(b)
Transcribed Image Text:30 Go bright, featureless background are diffraction patterns of defects in the vitreous humor that fills most of your eye. Sighting through a pinhole sharpens the diffraction pattern. If you also view a small circular dot, you can approximate the defect's size. Assume that the defect diffracts light as a circular aperture does. Adjust the dot's distance L from your eye (or eye lens) until the dot and the circle of the first minimum in the diffraction pattern appear to have the same size in your view. That is, until they have the same Floaters. The floaters you see when viewing a diameter D' on the retina at distance L' = 2.0 cm from the front of the eye, as suggested in Fig. 36-42a, where the angles on the two sides of the eye lens are equal. Assume that the wavelength of visi- ble light is A = 550 nm. If the dot has diameter D = 2.0 mm and is distance L = 45.0 cm from the eye and the defect is x = 6.0 mm in front of the retina (Fig. 36-42b), what is the diameter of the defect? Eye Circular Retina Retina lens dot Defect D' D' L -L'-| (a) (b)
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