Final answer:
Crossed threads may not be all in focus at the same time with a 40x objective because of the shallow depth of field at high magnification, necessitating the use of the coarse and fine focusing knobs to adjust the focus throughout the varying levels of magnification.
Step-by-step explanation:
When viewing the crossed threads with the 40x objective, all of them may not be in focus at the same time because each lens has a specific working distance, which is the distance between the lens and the specimen. A higher magnification lens like the 40x has a shorter working distance and therefore a shallower depth of field. Therefore, only a thin slice of the specimen may be in focus at any given time.
Using the coarse focusing knob helps in adjusting the focus for large-scale movements and is typically used with lower objectives like 4x and 10x. Once a preliminary focus is achieved, the fine focusing knob is used to make small adjustments, especially when higher magnifications, like 40x or 100x, are employed. This process provides a transition from a wider view at lower magnification to a detailed view at higher magnification while maintaining a focused image throughout the magnification changes, thanks to the parfocality of the lenses.
Moreover, the requirement to adjust focus with different objectives is related to the fact that as the magnification increases, the lens aperture decreases in size which can lead to a darker image. Adjusting the illumination and using the fine focus knob for precision are essential steps in achieving the best possible image when switching between different magnification levels.