Lenses of focal lengths +60 mm & +20.8 mm are held 93.9 mm apart to make a makeshift microscope.  A leaf of length 1.76 cm is placed 200 mm from the larger focal length lens.  How large will the virtual image appear when viewed through the other lens?  Answer in cm, and use + for upright and - for inverted.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Lenses of focal lengths +60 mm & +20.8 mm are held 93.9 mm apart to make a makeshift microscope.  A leaf of length 1.76 cm is placed 200 mm from the larger focal length lens.  How large will the virtual image appear when viewed through the other lens?  Answer in cm, and use + for upright and - for inverted.

Expert Solution
Step 1

From thin lens formula:

Physics homework question answer, step 1, image 1

Substitute the known value and determine the image distance for the objective lens.

Physics homework question answer, step 1, image 2

 

Step 2

Since the image formed by the objective lens is 85.71 mm away from it. Thus, the object distance for the second lens be:

Physics homework question answer, step 2, image 1

Rewrite the lens formula for the eyepiece.

Physics homework question answer, step 2, image 2

Substitute the known values and solve.

Physics homework question answer, step 2, image 3

Step 3

Now the formula for the magnification through the objective lens and eyepiece is:

Physics homework question answer, step 3, image 1

 

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