Chapter 35: Q.34 (page 1018)
The cornea, a boundary between the air and the aqueous humor, has a focal length when acting alone. What is its radius of curvature?
Short Answer
The radius of curvature is
Chapter 35: Q.34 (page 1018)
The cornea, a boundary between the air and the aqueous humor, has a focal length when acting alone. What is its radius of curvature?
The radius of curvature is
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Get started for freeThe resolution of a digital camera is limited by two factors:
diffraction by the lens, a limit of any optical system, and the fact
that the sensor is divided into discrete pixels. Consider a typical
point-and-shoot camera that has a 20-mm-focal-length lens and
a sensor with 2.5@mm@wide pixels.
a. First,ass ume an ideal, diffractionless lens. At a distance of
100 m, what is the smallest distance, in cm, between two
point sources of light that the camera can barely resolve? In
answering this question, consider what has to happen on the
sensor to show two image points rather than one. You can use
s′ = f because s W f.
b. You can achieve the pixel-limited resolution of part a only if
the diffraction width of each image point is no greater than
1 pixel in diameter. For what lens diameter is the minimum
spot size equal to the width of a pixel? Use 600 nm for the
wavelength of light.
c. What is the f-number of the lens for the diameter you found in
part b? Your answer is a quite realistic value of the f-number
at which a camera transitions from being pixel limited to
being diffraction limited. For f-numbers smaller than this
(larger-diameter apertures), the resolution is limited by the
pixel size and does not change as you change the aperture. For
f-numbers larger than this (smaller-diameter apertures), the
resolution is limited by diffraction, and it gets worse as you
“stop down” to smaller apertures
Yang can focus on objects away with a relaxed eye. With full accommodation, she can focus on objects away. After her eyesight is corrected for distance vision, what will her near point be while wearing her glasses?
Mars is viewed through a telescope on a night when it is from the earth. Its angular size as seen through the eyepiece is , the same size as the full moon seen by the naked eye. If the eyepiece focal length is , how long is the telescope?
Two light bulbs are apart. from, what distance can these light bulbs be marginally resolved by a small telescope with a objective lens? assume that the lens is diffraction limited and.
Your task in physics laboratory is to make a microscope from two lenses. one lens has a focal length of the other objective, and you want the eyepiece to be from the objective.
(a). For viewing with a relaxed eye, how far should the sample be from the objective lens?
(b). What is the magnification of your microscope?
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