How Is Angular Magnification Calculated for a Microscope?

AI Thread Summary
To calculate angular magnification for a microscope, the formula M = beta/alpha is used, where alpha is the ratio of the object size to the object distance and beta is the ratio of the image size to the image distance. In the given problem, the object size is 1.7 mm, the image size is 1.4 m, and the image distance is 5.9 m. The calculations yield alpha = 0.237 and beta = 0.237, resulting in M = 1, which is identified as incorrect. The discussion highlights the need for clarification on the type of microscope and its mode, as well as a caution against posting duplicate questions.
xamy
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1. Homework Statement
The wing of an insect is 1.7 mm long. When viewed through a microscope, the image is 1.4 m long and is located 5.9 m away. Determine the angular magnification.

Homework Equations


di/do=hi/ho
M=beta/alpha

alpha=object size/object distance

beta=image size/image distance

The Attempt at a Solution


di/do=hi/ho
5.9/do=1.4/0.0017
do=0.00716

alpha=0.0017/0.00716=0.237

beta=1.4/5.9=0.237
M=1
This answer is wrong. Can anyone please point out the mistake.
 
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xamy said:

1. Homework Statement
The wing of an insect is 1.7 mm long. When viewed through a microscope, the image is 1.4 m long and is located 5.9 m away. Determine the angular magnification.

Homework Equations


di/do=hi/ho
M=beta/alpha

alpha=object size/object distance

beta=image size/image distance

The Attempt at a Solution


di/do=hi/ho
5.9/do=1.4/0.0017
do=0.00716

alpha=0.0017/0.00716=0.237

beta=1.4/5.9=0.237
M=1
This answer is wrong. Can anyone please point out the mistake.
Which kind of microscope is being used, and in what mode?
 
This is all the information that I have. I did all the calculations using simple microscope equations.
 

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