Final answer:
The distance between each hash mark on the eyepiece is 0.0125 mm or 12.5 µm.
Step-by-step explanation:
To find the distance between each hash mark on the eyepiece, we can use the concept of magnification in a microscope. The magnification is equal to the ratio of the image distance to the object distance. In this case, we are given that the 0.125-mm mark aligns with the "10" hash mark on the eyepiece. Since the eyepiece has a magnification of 10, the distance between each hash mark on the eyepiece would be 0.125 mm divided by 10, which equals 0.0125 mm or 12.5 µm. Therefore, the correct answer is option 2) 0.0125 µm.