The f-number of a camera lens is doubled, say from f4. 0 to f8. 0, that means the diameter of the lens aperture is halved .
The ratio of the focal length to the aperture in an optical system .Also the effectiveness of the aperture of a camera lens in relation to brightness of image so that the smaller the number the brighter the image and therefore the shorter the exposure required.
F number = focal length / aperture diameter
if f-number of a camera lens is doubled
let, initial f - number : f1 = f-n
final f - number :f2 = 2 f-n
f1 = f-n = focal length / D1
D1 - focal length / f-n
f2 = 2 f-n = focal length / D2
D2 = focal length / 2 f-n
D2 = [tex]\frac{1}{2}[/tex]( D1 )
hence , diameter of the lens aperture will get halved .
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