A camera gives a proper exposure when set to a shutter speed of 1/250 s at f-number F8.0. The photographer wants to change the shutter speed to 1/1000 s to prevent motion blur. To maintain proper exposure, she should also change the f-number to...? The answer is F4.0.
To obtain a shutter speed of 1/1000 s to avoid any blur motion the f-number should be changed to F4.0 because the light intensity goes up by a factor of 2 when the f-number is decreased by the square root of 2.