www.cambridgeincolour.com
Scroll down to graphic under 'INFLUENCE OF LENS APERTURE OR F-NUMBER' showing how the area of the aperture changes by a proportional amount (eg 2x or 4x more / less light). Changing the aperture by 1 f-stop doubles/halves light transmitted through the lens -
by the same amount - whether the lens is a Ultra-wide or a Telephoto.
For the respective lens, the settings for the aperture blades are calibrated to this scale that uses set values of the ratio of aperture to focal-length.... The table lower down compares how much light is transmitted by maximum apertures ie faster vs slower lenses. We exploit these interrelated standard setting to control illumination off any scene in the well known Exposure Triangle. Thus, thanks be to these fixed ratios [called f-stops] we have a comparable index of how much light is reaching the sensor independent of differences in the focal length of lenses etc
The corollary is Shutter speed is adjusted by halving/increasing the light illuminating the sensor ie 1/500 > 1/1000 halves the light, or one can change aperture from f2 > f2.8 to half the light to keep the shutter set at 1/500. In summary, this method is essential to compare, replicate and report how much light was controlled by the lens (and/or shutter and sensor) using a standardized scale.
Note, to be more pedantic 1 Stop is universally referred to as 1 EV, Exposure Value, where the EV reading can be changed using either set increments of Aperture or Shutter Speed or ISO. Typically an EV is compared at a designated ISO for different combo's of aperture/shutter settings - and knowing Absolute EV is useful for comparing Equivalent settings if using a light-meter eg EV 0.0 is defined as f/1.0 and 1 second at ISO100, with Equivalent settings of f1.4 and 2sec, or f2 and 4sec etc. Without getting too much deeper into exposure and different imaging devices, we can also compare the Dynamic Range of a sensor using EV or f-Stops as a standard of their overall performance range:
https://www.cambridgeincolour.com/tutorials/dynamic-range.htm
Here's a more detailed explanation why all this matters especially for movies, and also the underlying mathematics:
https://www.scantips.com/lights/evchart.html
And an easy back-envelope method to remember the F-stop scale -