Error in angular magnification calculation

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Homework Help Overview

The problem involves calculating the angular magnification of an insect's wing when viewed through a microscope. The original poster provides measurements for the wing's size and the image size, along with distances involved in the setup.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the magnification equations but arrives at an incorrect conclusion. Some participants question the assumptions made regarding the angular magnification and the need for additional information, such as the distance from the actual wing.

Discussion Status

Participants are exploring the implications of the assumptions in the calculations. Guidance has been offered regarding the need for specific distances, and one participant indicates they have resolved the question using a suggested distance of 25 cm.

Contextual Notes

There is mention of missing information regarding angular magnification and focal length, which are critical for the calculations. The original poster initially misinterpreted the reference material provided.

xamy
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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:
I don't have angular magnification or focal length so I can't find the distance.
Did you find the reference to 25 at the link?
 
haruspex said:
Did you find the reference to 25 at the link?
I have solved the question using 25cm for the distance. Thankyou for your guidance. Sorry earlier I was looking at the wrong portion of this link.
 
xamy said:
I have solved the question using 25cm for the distance. Thankyou for your guidance. Sorry earlier I was looking at the wrong portion of this link.
Ok, good.
 

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