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

To understand the relationship between magnification and the diameter of the field of view on a microscope, it is important to understand how magnification works.

Magnification refers to the enlargement of an object or specimen when viewed through a microscope. It is achieved by either adjusting the eyepiece or using objective lenses with different focal lengths. The magnification power is typically indicated on the microscope's objective lenses (e.g., 4x, 10x, 40x, etc.).

On the other hand, the diameter of the field of view refers to the width of the visible area that you see when looking through the microscope. It represents the area you can observe at a given magnification.

Now, let's consider the relationship between magnification and the diameter of the field of view. As the magnification increases, the diameter of the field of view decreases. In other words, when you increase the magnification, you are zooming in on a smaller area of the specimen, resulting in a narrower field of view.

To see this relationship in action, consider an example:

At a low magnification, let's say 4x, the diameter of the field of view might be 100 nanometers (nm). This means that you can see a relatively wide area of the specimen.

However, if you increase the magnification to 40x, the magnification is now 10 times greater than at 4x. Due to the increased magnification, you are now looking at a smaller portion of the specimen, resulting in a smaller field of view. In this case, the diameter of the field of view might reduce to only 10 nanometers.

So, in summary, the relationship between magnification and the diameter of the field of view on a microscope is that they are inversely proportional. As the magnification increases, the diameter of the field of view decreases.