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A standard 14.16-inch (0.360-meter) computer monitor is 1024 pixels wide and 768

ID: 2055271 • Letter: A

Question

A standard 14.16-inch (0.360-meter) computer monitor is 1024 pixels wide and 768 pixels tall. Each pixel is a square approximately 281 micrometers on each side. Up close, you can see the individual pixels, but from a distance they appear to blend together and form the image on the screen.

Assuming that the screen is sufficiently bright, at what distance can you no longer resolve two pixels on diagonally opposite corners of the screen, so that the entire screen looks like a single spot? Note that the size (0.360 meters) quoted for a monitor is the length of the diagonal.

lambda = 550 nanometer
pupil diameter = 3.10 mm

Explanation / Answer

diffraction limited sin theta = 1.22 ?/d tantheta = y/L now y = 0.36 what is L? sin(arctan(0.36/L))=1.22*550E-9/(3.1E-3) L=1663 m

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