Your television picture is created by 720 horizontal lines of pixels, arranged o

Question

Your television picture is created by 720 horizontal lines of pixels, arranged on a screen of total height h. Assume that your ability to resolve the lines is limited only by the Rayleigh criterion, and that the pupils of your eyes are 5.01 mm in diameter. Beyond a certain distance from the screen L, you won't be able to resolve individual lines of pixels and the TV picture will not appear pointillistic. Calculate this ratio L/h of minimum viewing distance to screen height. Assume that the average wavelength of the light coming from the screen is 550 nm.

Explanation / Answer

sin(theta) = 1.22 *lambda/D

theta = arcsin (1.22*550*10^-8/5.01*10^-3) = 0.007674 degrees

y = h/720

tan(theta) = y/L

L/h = 1/720*tan(0.007674) = 10.37

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.