The amount of light that can be captured depends on a balance between the f-stop, shutter speed, the sensitivity of the sensor (or film). And crucially, on how much light is actually in the scene.
Here is a Youtube video to explain the concept in more detail...
https://www.youtube.com/watch?v=F8T94sdiNjc
I would also like to talk a little bit about f-stops. The scale that is used, marks when the light is doubled or halved at each stop. It is based on the square root of 2 (about 1.4). So, if you multiply 1.4 x 1.4, you get 2. If you multiply 2 x 1.4, you get 2.8.
Here are the typical f-stop numbers on a lens: 1.4, 2, 2.8, 4, 5.6, 8, 11, 16, 22, 32. F5.6 lets in twice as much light as F8. F4 lets in twice as much light as F5.6 and four times as much light as F8. F32 lets in 1/16 the light of F8.
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