A lens for a 35-mm camera has a focal length given by f=45.5 mm. How close to the CCD sensor sh

Name: Problem 97, Chapter 17: Pearson Physics
Uploaded: 2023-02-27T16:00:06-08:00
Duration: 2 min 4 s
Channel: Prabhat Tyagi
Description: A lens for a 35-mm camera has a focal length given by f=45.5 mm. How close to the CCD sensor should the lens be placed to form a sharp image of an object that is 5.00 m away?

step 1 Here in this question we have given focal length equals to 45 .5 millimeter which can be written

Question

A lens for a 35-mm camera has a focal length given by $f=45.5 \mathrm{~mm}$. How close to the CCD sensor should the lens be placed to form a sharp image of an object that is $5.00 \mathrm{~m}$ away?

    A lens for a 35-mm camera has a focal length given by $f=45.5 \mathrm{~mm}$. How close to the CCD sensor should the lens be placed to form a sharp image of an object that is $5.00 \mathrm{~m}$ away?

Pearson Physics

James S. Walker 1st Edition

Chapter 17, Problem 97

Instant Answer

Solved by Expert Prabhat Tyagi

02/27/2023

Step 1

This is done by dividing the focal length by 1000. So, $f = 45.5 \, \text{mm} = 0.0455 \, \text{m}$. Show more…

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A lens for a 35-mm camera has a focal length given by $f=45.5 \mathrm{~mm}$. How close to the CCD sensor should the lens be placed to form a sharp image of an object that is $5.00 \mathrm{~m}$ away?

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Key Concepts

Thin Lens Equation

This fundamental optical formula relates the object distance, image distance, and focal length of a lens. Expressed as 1/f = 1/d_o + 1/d_i, it is used to calculate the position of the image (where the sensor or film should be placed) to achieve a sharp focus when an object is at a given distance.

Focal Length

The focal length of a lens, defined as the distance from the lens to the point where parallel rays of light converge to a focus, determines the magnification and perspective of the resultant image. It is a key parameter in understanding how a lens forms an image in cameras and optical devices.

Unit Conversion

Ensuring consistency in measurement units when applying physics formulas is essential. Converting all distances, such as object distance and focal length, into the same units (e.g., millimeters or meters) is crucial for accurately using the lens equation to determine image placement.

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