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A certain camera has $f$ -numbers that range from 1.2 to $22 .$ If the focal length of the lens is $55 \mathrm{mm},$ what is the range of aperture diameters for the camera?

\text { from } 2.5 \mathrm{mm} \text { to } 46 \mathrm{mm}

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Cornell University

Rutgers, The State University of New Jersey

Numerade Educator

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camera has an F number that ranges from 1.2 to 22. So let's write it down. AF number minimum he calls won't want to, and after number maximum equals 22 and the focal length of the lens of the camera, which is F is 55 millimeter. All right, so from here, you want to find the diameter, the reins of the diameter of the camera. So to do that, we use the definition from problem number one, and that will give us diameter of the camera. D is gonna be cool, too for Kal eight over after number. All right, so if you look at this relation here, you can see that the diameter of the lens is inversely proportional to F number. So that means if you have the minimum F number, the diameter is gonna be maximum and vice versa. All right, so let's solve the problem. Based on that, let's go to the next page. From here. We're gonna have d minimum calls half over ash number max, which is gonna be 55 millimeter over 22 that this would be equal to 2.5 millimeter and in the same way, D max. The maximum diameter it calls f over after number mean. All right, so from pure, this is gonna be called to 55 millimeter over 12 And this will give us 46 millimeter, so the diameter ranges from 2.5 millimeter to 46 millimeter.

University of Wisconsin - Milwaukee