Question

(a) Where does an object need to be placed relative to a microscope for its 0.500 cm focal length objective to produce a magnification of –400?

(b) Where should the 5.00 cm focal length eyepiece be placed to produce a further fourfold (4.00) magnification?
a) -0.125 cm; 2.00 cm
b) -0.250 cm; 1.25 cm
c) -0.200 cm; 1.00 cm
d) -0.150 cm; 1.50 cm

Answer 1

The object needs to be placed at -0.125 cm for the objective to produce a magnification of -400, and the eyepiece should be placed at 2.00 cm to produce a further fourfold magnification.

Step-by-step explanation:

To find the location of an object relative to a microscope for a magnification of -400 with a 0.500 cm focal length objective, we can use the magnification formula: magnification = (-di/do). Rearranging the formula, we find that the object distance (do) should be -0.125 cm. For the second part of the question, to achieve a further fourfold magnification with a 5.00 cm focal length eyepiece, we can use the equation: magnification = -di/(-do). Solving for the image distance (di), we find that it should be 2.00 cm.