Answer
$D = 3.0~mm$
Work Step by Step
Note that f-number is $\frac{f}{D}$
We can find the aperture diameter $D$:
$f-number = \frac{f}{D}$
$D = \frac{f}{f-number}$
$D = \frac{12~mm}{4.0}$
$D = 3.0~mm$
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