Question

When a camera is focused, the lens is moved away from or toward the film. If you take a picture of your friend, who is standing 3.90 m from the lens, using a camera with a lens with a $85-\mathrm{mm}$ focal length, how far from the film is the lens? Will the whole image of your friend, who is 175 $\mathrm{cm}$ tall, fit on film that is $24 \times 36 \mathrm{mm} ?$

Name: Problem 36, Chapter 34: University Physics with Modern Physics
Uploaded: 2020-07-15T04:50:30-08:00
Duration: 3 min 3 s
Channel: Sheh Lit Chang
Description: When a camera is focused, the lens is moved away from or toward the film. If you take a picture of your friend, who is standing 3.90 m from the lens, using a camera with a lens with a 85-mm focal length, how far from the film is the lens? Will the whole image of your friend, who is 175 cm tall, fit on film that is 24 ×36 mm ?

   When a camera is focused, the lens is moved away from or toward the film. If you take a picture of your friend, who is standing 3.90 m from the lens, using a camera with a lens with a $85-\mathrm{mm}$ focal length, how far from the film is the lens? Will the whole image of your friend, who is 175 $\mathrm{cm}$ tall, fit on film that is $24 \times 36 \mathrm{mm} ?$

University Physics with Modern Physics

Hugh D. Young, Roger… 12th Edition

Chapter 34, Problem 36

Instant Answer

Solved by Expert Sheh Lit Chang

07/15/2020

Step 1

We can use the lens formula: $\frac{1}{f} = \frac{1}{d_o} + \frac{1}{d_i}$ where $f$ is the focal length, $d_o$ is the object distance (distance from the lens to the object), and $d_i$ is the image distance (distance from the lens to the image). We are given Show more…

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When a camera is focused, the lens is moved away from or toward the film. If you take a picture of your friend, who is standing 3.90 m from the lens, using a camera with a lens with a $85-\mathrm{mm}$ focal length, how far from the film is the lens? Will the whole image of your friend, who is 175 $\mathrm{cm}$ tall, fit on film that is $24 \times 36 \mathrm{mm} ?$

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Key Concepts

Thin Lens Equation

This principle relates the focal length of a lens to the distances between the lens, the object, and the image. It is expressed as 1/f = 1/d_object + 1/d_image and is central to understanding how focusing is achieved in camera systems.

Magnification

Magnification is the ratio of the image size to the object size, which can be calculated as the ratio of the image distance to the object distance. It determines how large the object will appear on the film or sensor relative to its actual size.

Film or Sensor Format

The dimensions of the film or sensor define the maximum area available for recording an image. Knowledge of the film or sensor size is essential to ensure that the projected image, after magnification, will completely fit within the recording medium.

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