How Is Angular Magnification Calculated for a Microscope?

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Homework Help Overview

The discussion revolves around calculating the angular magnification of a microscope when observing an insect's wing, which measures 1.7 mm in length. The image produced is 1.4 m long and located 5.9 m away from the observer. Participants are examining the calculations and equations related to angular magnification.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are discussing the application of equations related to angular magnification, specifically questioning the calculations of object and image distances. There is a focus on identifying potential errors in the calculations presented. One participant also inquires about the type of microscope and its operational mode.

Discussion Status

The discussion is ongoing, with participants attempting to identify mistakes in the calculations. There is a request for clarification regarding the type of microscope used, indicating that multiple aspects of the problem are being explored. No consensus has been reached yet.

Contextual Notes

One participant notes that they have provided all the information available to them and have used basic microscope equations for their calculations. There is also a mention of a duplicate thread, which may affect the flow of discussion.

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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