An f$/3\mathrm{.}05$ CCD camera has a $109$ mm focal length lens and can focus on objects from infinity to as near as $31\mathrm{.}5$ cm from the lens. Note: $"$f$/3\mathrm{.}05"$ means $"$an f$-$number of $3\mathrm{.}05."$

HINT

$($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