In a compound microscope, the objective has a focal length of 1.0 cm, the eyepiece has a focal length of 2.0 cm, and the tube length is 25 cm.What is the magnitude of the overall magnification of the microscope?
A)25
B)50
C)100
D)250
E)310

Question

Quizplus · Accepted Answer

The overall magnification of a compound microscope is given by the product of the magnification of the objective and the magnification of the eyepiece. The magnification of the objective is given by the ratio of the tube length to the focal length of the objective, and the magnification of the eyepiece is given by the ratio of the tube length to the focal length of the eyepiece. Therefore, the overall magnification of the microscope is given by:$$M = M_o * M_e = (L/f_o) * (L/f_e)$$$$M = (25 cm/1.0 cm) * (25 cm/2.0 cm) = 312.5$$Therefore, the magnitude of the overall magnification of the microscope is 310.

In a Compound Microscope, the Objective Has a Focal Length