If the field diameter was 0.5 mm at 40x, how big would it be in mm and µm at 100x?

To determine the size of the field diameter at 100x magnification, we can use the formula:

Field diameter at 1st magnification * Magnification of 1st lens / Magnification of 2nd lens = Field diameter at 2nd magnification

Given that the field diameter is 0.5 mm at 40x magnification, we can substitute these values into the formula:

0.5 mm * 40x / 100x = Field diameter at 100x magnification

Now, let's solve the equation:

0.5 mm * 40 / 100 = 0.2 mm

Therefore, the field diameter at 100x magnification would be 0.2 mm.

To convert this measurement to micrometers (µm), we need to multiply it by 1000, since there are 1000 micrometers in one millimeter.

0.2 mm * 1000 µm/mm = 200 µm

Therefore, the field diameter at 100x magnification would be 200 µm.