A student is calibrating an eyepiece graticule using a stage micrometer with divisions spaced 10 μm10\ \mu\text{m}10 μm apart.
At a total magnification of ×100\times 100×100, 40 eyepiece graticule divisions align exactly with 20 stage micrometer divisions.
The student then changes the objective lens to increase the total magnification to ×400\times 400×400.
Which option correctly identifies the actual distance represented by one eyepiece graticule division at ×400\times 400×400, and the change (if any) in the visual appearance of the graticule scale?
Value of one eyepiece division: 20.0 μm20.0\ \mu\text{m}20.0 μm; Visual appearance of scale: The lines appear four times further apart
Value of one eyepiece division: 1.25 μm1.25\ \mu\text{m}1.25 μm; Visual appearance of scale: No change in the spacing of the lines
Value of one eyepiece division: 1.25 μm1.25\ \mu\text{m}1.25 μm; Visual appearance of scale: The lines appear four times further apart
Value of one eyepiece division: 20.0 μm20.0\ \mu\text{m}20.0 μm; Visual appearance of scale: No change in the spacing of the lines
