Final answer:
To determine the closest object that can be photographed using a camera lens with a focal length of 22.0 mm and a maximum film distance of 33.0 mm, we can use the lens equation and magnification formula. The closest object will have an object distance of 33.0 mm and a magnification of -1.
Step-by-step explanation:
To determine the closest object that can be photographed, we need to consider the lens equation:
1/f = 1/u + 1/v, where f is the focal length, u is the object distance, and v is the image distance.
Rearranging the equation, we have 1/u = 1/f - 1/v.
Since the farthest the lens can be placed from the film is 33.0 mm, the image distance (v) will be equal to 33.0 mm. Plugging in the values, we can solve for the object distance (u).
Using the equation, we find that the object distance (u) is 33.0 mm.
Therefore, the closest object that can be photographed will have an object distance of 33.0 mm.
The magnification of the closest object can be determined using the magnification formula:
magnification (m) = -v/u.
Plugging in the values, we have magnification (m) = -33.0/33.0 = -1.
This means that the closest object will have a magnification of -1.
Since the magnification is negative, the image will be inverted.