If a laser printer prints at 600 dots per inch,what is their angular separation when viewed from 40 cm? A) 4.2 $\times$ 10^-5 rad B) 2.7 $\times$ 10^-4 rad C) 1.1 $\times$ 10^-4 rad D) 5.5 $\times$ 10^-8 rad E) 3.7 $\times$ 10^-3 rad

Question

Quizplus · Accepted Answer

To find the angular separation, we need to first convert the dots per inch to dots per meter:

600 dots/inch * (1 inch/0.0254 m) = 23622.04724 dots/m

From the formula for angular separation:

θ = (wavelength/distance) * 1/dot spacing

Assuming the dot spacing is one dot per pixel, we can convert the dots per meter to pixel spacing:

23622.04724 dots/m * (1 pixel/600 dots) = 39.37007874 pixels/m

At a viewing distance of 40 cm, the distance is 0.4 m. We also assume the wavelength of light is 500 nm. Plugging in all values:

θ = (500*10^-9 m / 0.4 m) * (1/39.37007874 pixels) = 1.088 × 10^-4 radians

Simplifying:

θ ≈ 1.1 × 10^-4 radians

Therefore, the answer is choice C.

If a Laser Printer Prints at 600 Dots Per Inch,what ×\times×

If a Laser Printer Prints at 600 Dots Per Inch,what $\times$