Final answer:
Using the lens formula, one can calculate the closest distance an object can be from a lens with a focal length of 22.0 mm for it to be photographed, as well as the magnification at that distance.
Step-by-step explanation:
Understanding Camera Apertures and Close-Up Photography
If a camera lens used for taking close-up photographs has a focal length of 22.0 mm and can be placed at a maximum distance of 33.0 mm from the film, the optics concepts can be applied to determine the closest object that can be photographed and the magnification of that object. The calculation involves understanding the lens formula (1/f = 1/v + 1/u), where f is the focal length, v is the distance from the lens to the image (which is known), and u is the distance from the lens to the object (which needs to be determined).
(a) Closest object that can be photographed: To find the closest object that can be photographed (u), solve for u in the lens formula knowing that v = 33.0 mm and f = 22.0 mm.
(b) Magnification of the closest object: The magnification (M) can be determined by the formula M = v/u. Once the value of u is known, the magnification of this closest object can be calculated.