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An inkjet printer uses tiny dots of red, green, and blue ink to produce an image

ID: 2250563 • Letter: A

Question

An inkjet printer uses tiny dots of red, green, and blue ink to produce an image. Assume that the dot separation on the printed page is the same for all colors. At normal viewing distances, the eye does not resolve the individual dots, regardless of color, so that the image has a normal look. The wavelengths for red, green, and blue are ?red = 660 nm, ?green = 550 nm, and ?blue = 470 nm. The diameter of the pupil through which light enters the eye is 2.0 mm. For a viewing distance of 0.5 m, what is the maximum allowable dot separation?

Explanation / Answer

the wavelength of red,green and blue light are L1 = 660 nm = 660 x 10^-9 m,L2 = 550 nm = 550 x 10^-9 m and L3 = 470 nm = 470 x 10^-9 m

the diameter of pupil is d = 2.0 mm = 2.0 x 10^-3 m

the viewing distance is D = 0.5 m

the maximum allowable dot separation for the three colours are

B1 = (L1 x D/d),

B2 = (L2 x D/d) and

B3 = (L3 x D/d)