Are the common f-stops mentioned here exact or are they approximations? It seems that sqrt(2) corresponds to the f/1.4 case numerically to ensure constant exposure when changing both shutter and f-stops at the same time.
does this imply that given a still image, these combinations will produce the same picture? or are there other nuances that apply here?
@jerry-jiao I think these combinations give you the same exposure or brightness. However, the changing aperture or F-number changes the depth of field, and changing shutter speed affects motion blur.