The focal lengths of the objective and the eyepiece of a microscope are 0.5 cm and 2.0 cm, respectively, and their separation adjusted for minimum eyestrain is 6.0 cm. If the microscope is focused on a small object, what is the distance between the object and the objective lens?
A) 0.6 cm
B) 0.3 cm
C) 0.4 cm
D) 0.8 cm
E) 0.7 cm

Question

Quizplus · Accepted Answer

The correct answer is A because the distance between the object and the objective lens is given by the formula:d_o = (f_o * f_e) / (f_e - f_o)where f_o is the focal length of the objective lens, f_e is the focal length of the eyepiece, and d_o is the distance between the object and the objective lens.Plugging in the given values, we get:d_o = (0.5 cm * 2.0 cm) / (2.0 cm - 0.5 cm) = 0.6 cm

The Focal Lengths of the Objective and the Eyepiece of a Microscope