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An inkjet printer uses tiny dots of red, green, and blue ink toproduce an image.

ID: 1675216 • Letter: A

Question

An inkjet printer uses tiny dots of red, green, and blue ink toproduce an image. Assume that the dot separation on the printedpage is the same for all colors. At normal viewing distances, theeye does not resolve the individual dots, regardless of color, sothat the image has a normal look. The wavelengths for red, green,and blue are red = 660 nm,green = 550 nm, andblue = 470 nm. The diameter of the pupilthrough which light enters the eye is 2.0 mm. For a viewingdistance of 0.40 m, what is the maximum allowable dot separation?

Explanation / Answer

using rayleighs criterion...     1.22 = D y /L       where   y isthe separation. The longer wavelength has larger max separation, so we have touse the shortest wavelength of  470 nm                    =1.14 * 10-4 m