A compound microscope consists of a 10X eyepiece and a 60X objective, and has a standard tube length L = 160 mm. The microscope is designed for a user with normal vision, i.e. with a near point of 25 cm.
The microscope is used to image a cell of size 3 µm.
1. Calculate the total angular magnification of the microscope.
2. What is the focal length of the eyepiece?
3. What is the focal length of the objective?
4. What would the angular size of the cell, θunaided, be in radians if viewed with the unaided eye from a near-point distance?
5. What is the angular size of the cell as viewed through the microscope θaided, in radians?