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Chapter 35: Q. 36 (page 1018)
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?
The telescope is long.
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A common optical instrument in a laser laboratory is a beam expander. One type of beam expander is shown in FIGURE P35.29.
The parallel ray of a laser beam of width enter from the left.
a. For what lens spacing d does a parallel laser beam exit from the right?
b. What is the width of the exiting laser beam?
To focus parallel light rays to the smallest possible spot, should you use a lens with a small f-number or a large f-number? Explain.
A microscope has a tube length. What focal-length objective will give total magnification localid="1649845070556" when used with an eyepiece having a focal length ?
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.
A friend lends you the eyepiece of his microscope to use on your own microscope. He claims the spatial resolution of your microscope will be halved, since his eyepiece has the same diameter as yours but twice the magnification. Is his claim valid? Explain.
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