A compound microscope has an objective with a focal length of 3.0 mm and an eyepiece with a focal length of 3.50 cm. The object is placed 3.8 mm from the objective. What is the magnification of the microscope?
A)-27
B)+27
C)-7
D)+7

Question

Quizplus · Accepted Answer

The magnification of a compound microscope is given by the formula: M = (L/f_o) * (25/f_e), where L is the tube length (assumed to be the image distance for the objective), f_o is the focal length of the objective, and f_e is the focal length of the eyepiece. First, calculate the image distance for the objective using the lens formula: 1/f_o = 1/v_o - 1/u_o, where u_o is the object distance. Then, use the magnification formula to find the total magnification. The negative sign indicates an inverted image.

A Compound Microscope Has an Objective with a Focal Length