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

Question

Quizplus · Accepted Answer

The angular separation can be calculated using the formula $\theta = \frac{s}{d}$, where $s$ is the separation between the dots and $d$ is the distance from the observer. Given 600 dots per inch, the separation between dots is $\frac{1}{600}$ inch. Converting inches to meters (1 inch = 0.0254 meters), the separation is $\frac{0.0254}{600}$ meters. At a distance of 40 cm (0.4 meters), the angular separation is $\frac{\frac{0.0254}{600}}{0.4} = 1.06 \times 10^{-4}$ radians, which is approximately $1.1 \times 10^{-4}$ radians.

If a Laser Printer Prints at 600 Dots Per Inch cm\mathrm{cm}cm

If a Laser Printer Prints at 600 Dots Per Inch $\mathrm{cm}$