An $\frac{f}{3\mathrm{.}10}$ CCD camera has a $106$ mm focal length lens and can focus on objects from infinity to as near as $25\mathrm{.}0$ cm from the lens. Note: $"\frac{f}{3\mathrm{.}10}$ means $"$an $f-$number of $3\mathrm{.}10."$

$$

$($a$)$ Determine the camera's aperture diameter in mm $.$

$$ mm

Determine the minimum and maximum distances in cm from the CCD sensor over which the lens must be able to travel during focusing.

$($b$)$ minimum

$$ cm

$($c$)$ maximum

$$ cm