Question:
A compound microscope consists of an objective of focal length $1 \mathrm{~cm}$ and an eyepiece of focal length $5 \mathrm{~cm}$. An object is placed at a distance of $0.5 \mathrm{~cm}$ from the objective. What should be the separation between the lenses so that the microscope projects an inverted real image of the object on a screen $30 \mathrm{~cm}$ behind the eyepiece?
Solution:
