Question

Increasing the f-ratio from $2.8$ to $5.6$ a. decreases the light admitted by a factor of 2 . b. decreases the light admitted by a factor of $4 .$ c. increases the light admitted by a factor of 2 . d. increases the light admitted by a factor of $4 .$

Name: Problem 82, Chapter 31: Essential University Physics Global Edition
Uploaded: 2021-10-13T06:21:27-08:00
Duration: 1 min 22 s
Channel: Khoobchandra Agrawal
Description: Increasing the f-ratio from 2.8 to 5.6 a. decreases the light admitted by a factor of 2 . b. decreases the light admitted by a factor of 4 . c. increases the light admitted by a factor of 2 . d. increases the light admitted by a factor of 4 .

   Increasing the f-ratio from $2.8$ to $5.6$
a. decreases the light admitted by a factor of 2 .
b. decreases the light admitted by a factor of $4 .$
c. increases the light admitted by a factor of 2 .
d. increases the light admitted by a factor of $4 .$

Essential University Physics Global Edition

Richard Wolfson 4th Edition

Chapter 31, Problem 82

Instant Answer

Solved by Expert Khoobchandra Agrawal

10/13/2021

Step 1

A higher f-ratio means a smaller aperture, which allows less light to enter the camera. When the f-ratio increases from 2.8 to 5.6, the aperture diameter is reduced by a factor of 2 (since 5.6 / 2.8 = 2). However, the amount of light admitted is proportional to Show more…

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Increasing the f-ratio from $2.8$ to $5.6$ a. decreases the light admitted by a factor of 2 . b. decreases the light admitted by a factor of $4 .$ c. increases the light admitted by a factor of 2 . d. increases the light admitted by a factor of $4 .$

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Key Concepts

F-number (f-ratio)

The f-number, or f-ratio, is the ratio of a lens's focal length to the diameter of its entrance pupil. It is a critical parameter in determining the brightness of the image formed, as it controls the amount of light that enters the lens. A lower f-number means a larger aperture and more light, while a higher f-number decreases the size of the aperture, letting in less light.

Aperture Area

The amount of light admitted by a lens is proportional to the area of its aperture, and the aperture area is proportional to the square of the diameter. When the f-number increases (meaning the aperture diameter decreases), the light admitted is reduced by the square of the factor by which the f-number increases. This relationship is essential for understanding exposure in photography and related fields.

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