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Chapter 31: Problem 83

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

Short Answer

Expert verified
The light admitted decreases by a factor of 4

Step by step solution

01

Calculate the ratio of the f-numbers

The ratio (R) of the two f-numbers 2.8 and 5.6 can be calculated using the formula \(R = \frac{f2}{f1}\), giving \(R = \frac{5.6}{2.8}\). Note that the ratio is greater than 1 because the f-number increases.
02

Calculate the amount of changes in light

The change in light admitted is given by \(R^2\), which is the square of the ratio calculated in Step 1. This quantity will tell us the factor disparity in the amount of light admitted due to the change in f-ratio.
03

Determine if the light admitted increases or decreases

The light admitted decreases when the f-number increases. So the final step is to compare the calculated change in light with the options given in the problem. The option which matches our calculated change in light admitted (but in a decreasing manner) will be the correct answer.

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