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Chapter 35: Q. 18 (page 1017)
A telescope has a diameter objective lens. What minimum diameter must the eyepiece lens have to collect all the light rays from an on-axis distant source?
The minimum diameter is.
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The resolution of a digital cameras 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. consirer a typical point-and--shoot camera that has a lens and a sensor with pixels.
(a) . First, assume an ideal, diffractionless lens, at a distance of what is the smallest distance, in 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
(b) . You can achieve the pixel-limied resolution of part a only if the diffraction which of each image point no greater than the diffraction width of image point is no greater than pixel in diameter. for what lens diameter is the minimum spot size equal to the width of a pixel ? use for the wavelength of light.
(c). what is the of the lens for the diameter you found in part b? your answer is a quite realistic value of the at which a camera transitions from being pixel limited to being diffraction limited for smaller than this (larger-diameter apertures), the resolution is limited by the pixel size and does not change as you change the apertures. for larger than this (smaller-diameter apertures). the resolution is limited by diffraction and it gets worse as you "stop down" to smaller apertures.
White light is incident onto a prism at the angle shown in . violet light emerges perpendicular to the rear face of the prism. The index of refraction of violet light in this glass is larger than the index of refraction of red light. At what angle does red light emerges from the rear face?
A -diameter microscope objective has a focal length of . What object distance gives a lateral magnification of ?
Alpha Centauri, the nearest star to our solar system is light years away. assume that alpha centauri has a planet with an advanced civilization. professor Dhg, at the planet's Astronomical Institute, wants to build a telescope with which he can find out whether any planets are orbiting our sun.
(a). What is the minimum diameter for an objectives lens that will just barely resolve Jupiter and the sun? The radius of Jupiter's orbit is Assume
(b). Building a telescope of the necessary size does not appear to be a major problem. What practical difficulties might prevent professor Dhg's experiment from succeeding?
White light is incident onto a prism at the shown in Figure . Violet light emerges perpendicular to the rear face of the prism. The index of refraction of violet light in this glass is larger than the index of refraction of red light. At what does red light emerges from the rear face?
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