In a compound microscope, the focal length of the objective is f_o , and the separation between the objective and the eyepiece is L . An object is positioned at a distance u from the objective. For the instrument to function properly,

Step-by-step solution

For a compound microscope to function properly and provide magnification, the objective lens must form a real, inverted, and magnified image of the object. This requires the object to be placed between the principal focus and the center of curvature of the objective lens. Therefore, the object distance u must satisfy: f_o For a real and magnified image, the image distance v_o from the objective lens must be greater than 2f_o : v_o > 2f_o The total separation L between the objective and the eyepiece is the sum of th