The optimum diameter d (in millimeters) of the pinhole in a pinhole camera can be modeled by d=1.9[(5.5×10−4)L]1/2, where is the length (in millimeters) of the camera box. Find the optimum pinhole diameter for a camera box with a length of 10 centimeters. Round your answer to the nearest hundredth.

The optimum pinhole diameter for a camera box with a length of 10 centimeters is 0.446 mm

Solution:

Given that,

The optimum diameter d (in millimeters) of the pinhole in a pinhole camera can be modeled by:

where l is the length (in millimeters) of the camera box

Find the optimum pinhole diameter for a camera box with a length of 10 centimeters

l = 10 cm

We know that,

10 cm = 100 mm

Therefore, plug in l = 100 in given formula

Thus the optimum pinhole diameter for a camera box with a length of 10 centimeters is 0.446 mm

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.

The answer is 4 points