Question

A compound microscope has a barrel length of =159.0 mm and an objective with a 4.070 mm focal length. The total angular magnification of the microscope is −411.0. Using the approximation that the barrel length is large relative to the focal lengths, determine the angular magnification of the eyepiece.

Answer 1

The angular magnification of the eyepiece in the compound microscope is -0.0024.

Step-by-step explanation:

To determine the angular magnification of the eyepiece in a compound microscope, we can use the formula:

Mnet = Mobjective * Meyepiece

Given that the total angular magnification (Mnet) is -411.0 and the focal length of the objective lens (fobjective) is 4.070 mm, we can solve for the angular magnification of the eyepiece (Meyepiece).

Mobjective = -411.0 / Meyepiece

Substituting the values, we have:

Mobjective = -411.0 / Meyepiece

Meyepiece = -411.0 / Mobjective

Therefore, the angular magnification of the eyepiece is -0.0024.