Final answer:
Option 1 and 3: Cine film sizes include 16 mm and 35 mm, not 30 mm or 120 mm. The placement of the film within a camera is determined by using the lens formula considering the focal length of the lens and the object distance.
Step-by-step explanation:
The available cine film sizes commonly used are 16 mm and 35 mm. Sizes such as 30 mm and 120 mm are not standard for cine films. When considering the distance of the film from the lens within a camera, one must use the lens formula which is 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance.
For example, if a camera with a 35.0-mm focal length lens is used to photograph a flower that is 75.0 cm away, we rearrange the lens formula to find the image distance di (where the film must be placed): 1/f = 1/do - 1/di -> 1/di = 1/f - 1/do. After substituting the values, we calculate the necessary film distance to ensure a sharp image of the flower.
It's a similar process when calculating for different focal lengths such as a 50.0-mm lens or a lens with a 100 mm focal length in various photographic scenarios, whether it's for a slide projector or a close-up of an object.