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Aperture values and shutter speeds
Both the aperture and the shutter determine how much light reaches the film.
Each has a range of settings that varies by one stop. In terms of light, f/5.6 permits
twice as much light to reach the film as does f/8. In exactly the same way, a shutter
speed of 1/60 sec., allows twice as much light to reach the film as does a speed
of 1/125 sec.
You always balance shutter speeds and aperture
values against each other. For instance, let's say the correct exposure of a scene
would be 1/250 sec. at f/5.6. You decide you want to increase the shutter speed to
catch a moving subject, in order to do so, you must change the shutter speed to 1/500
sec.
In order to keep the exposure correct, you have to adjust the aperture value
by exactly the same amount. Thus, you must double the size of the aperture, increasing
it by one stop to f/4. Since f/4 lets in twice as much light as does f/5.6, the exposure
is still correct.

Depth-of-Field
Depth-of-Field refers to the zone of in-focus elements, from front to back of
the main subject. Depth-of-Field varies inversely with the aperture opening. That
is, a wide open (maximum aperture) lens at f/1.4 has very little depth-of-field.
If you stop down the lens to f/16, then almost everything from front to back will
be sharply in focus.
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