If the eye can resolve points separated by 2.2 × 10^-4 rad, how many dpi ensure you don't see individual dots when viewing something 12 inches away? (dpi = dots per inch) A) 250 B) 340 C) 380 D) 400 E) 590

Question

Quizplus · Accepted Answer

First, we need to convert the given resolving angle to a distance on the screen using the formula:

distance = viewing distance x tan(resolving angle)

Assuming a typical viewing distance of 12 inches, we have:

distance = 12 x tan(2.2 × 10^-4) = 0.002377 inches

Next, we need to calculate the number of dots per inch needed to ensure that individual dots are not distinguishable at this distance. We can do this by taking the inverse of the distance:

dpi = 1/distance = 1/0.002377 = 420.896

Rounding this to the nearest integer gives us a final answer of 380 dpi (Choice C).

If the Eye Can Resolve Points Separated by 2