On a microscope, what is the relationship between the magnification and the diameter of the field of view?

The magnification and the diameter of the field are inversely proportional. The greater the magnification, the smaller the actual diameter of the field of view.

eg. at 4x, the diameter cld be 100nm
at 40x, magnification is 10 times greater, so ur looking at a smaller object(so smaller field of view) so the diameter will be 10nm