The optimum pinhole diameter for a camera box with a length of 10 centimeters is 0.446 mm
Given that,
[tex]d = 1.9[(5.5 \times 10^{-4})l]^{\frac{1}{2}}[/tex]
where l is the length (in millimeters) of the camera box
l = 10 cm
We know that,
10 cm = 100 mm
Therefore, plug in l = 100 in given formula
[tex]d = 1.9[(5.5 \times 10^{-4}) \times 100]^{\frac{1}{2}}\\\\d = 1.9[5.5 \times 10^{-4} \times 10^2]^{\frac{1}{2}}\\\\d = 1.9[5.5 \times 10^{-2}]^{\frac{1}{2}}\\\\d = 1.9 \times 5.5^{\frac{1}{2} \times 10^{-1}}\\\\d = 0.19 \times 2.345207\\\\d = 0.4455 \approx 0.446[/tex]
Thus the optimum pinhole diameter for a camera box with a length of 10 centimeters is 0.446 mm
Step-by-step explanation:
The pinhole camera model describes the mathematical relationship between the coordinates of a point in three-dimensional space and its projection onto the image plane of an ideal pinhole camera, where the camera aperture is described as a point and no lenses are used to focus light.
