A camera with a 50.0 -mm lens can focus on objects located from 1.5 m to an infinite distance a

step 1 Here we will have the object distance is one over focal distance minus the image distance equal

A camera with a 50.0 -mm lens can focus on objects located...

A camera with a $50.0$ -mm lens can focus on objects located from $1.5 \mathrm{~m}$ to an infinite distance away by adjusting the distance between the lens and the film. When the focus is changed from that for a distant mountain range to that for a flower bed at $1.5 \mathrm{~m}$, how far does the lens move with respect to the film?

Key Concepts

Focusing Mechanism in Cameras

Camera focusing involves adjusting the distance between the lens and the film or digital sensor to form a sharp image of the object being photographed. This adjustment compensates for changes in object distance, ensuring that light from the object converges correctly on the recording medium.

Focal Length

The focal length of a lens, which is the distance from the lens to its focal point, determines the converging or diverging power of the lens. In optical systems like cameras, the fixed focal length is a crucial parameter that, when combined with changes in the object distance, dictates the required position of the image plane for proper focus.

Thin Lens Equation

The thin lens equation, given by 1/f = 1/s + 1/s' where f is the focal length, s is the object distance, and s' is the image distance, is a fundamental equation in geometrical optics. It is used to relate how an image is formed by a lens, which is essential when adjusting the lens-to-film distance in cameras to achieve focus on objects at different distances.

Image Distance

Image distance refers to the distance from the lens to the image sensor or film where a sharp image is formed. In the context of camera focusing, the image distance must be adjusted as the object distance varies, with a different lens-to-film separation required for distant objects compared to close ones.

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