Simple Microscopes: Find Focal Length & Magnifying Power

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Discussion Overview

The discussion revolves around the determination of the focal length and magnifying power of a simple microscope, specifically a magnifying glass. Participants share their experimental findings, compare them with manufacturer claims, and explore the implications of individual viewing distances on perceived magnification.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant reports measuring the focal length of a magnifying glass at 12.5 cm and calculates the magnifying power to be between 2 and 3, contrasting this with the manufacturer's claim of 5x.
  • Another participant suggests that the discrepancy might be due to a mistake by the manufacturer or misleading marketing practices.
  • A younger participant expresses doubt about their own measurements and considers the possibility of a manufacturing error.
  • Some participants discuss how individual near point distances may affect the ability to see the image clearly, with one noting that younger individuals might have a shorter near point than the standard 25 cm.
  • One participant argues that the focal length should remain constant regardless of the observer's near point, suggesting that the derived magnification should be standardized for adults.
  • Another participant humorously notes that the sum of the calculated minimum and maximum powers equals the manufacturer's claim, questioning the need for returns based on this discrepancy.

Areas of Agreement / Disagreement

Participants express differing views on the relevance of individual near point distances to the experiment and the implications for magnification claims. There is no consensus on whether the manufacturer's claim is valid or if it reflects a misunderstanding of the optics involved.

Contextual Notes

Participants mention various assumptions regarding near point distances and the standard focal length used in calculations, indicating that these factors may influence the perceived effectiveness of the magnifying glass.

eightsquare
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I performed a simple experiment to find the focal length of a magnifying glass. Taking a white sheet of paper as a screen and a building as object at infinity, i got a clear image at 12.5 cm, which is approximately the focal length of the lens. Plugging this into the formula for magnifying power of a simple microscope, we get the maximum and minimum powers as 3 and 2. However the carton says the magnifying glass is 5x. Plugging into the formula we get focal length 5 cm, and when a tried it, i couldn't get an image at all. So what is wrong? The formula i used for power of simple microscope was 25 divided by f for minimum power and 1 plus 25 divided by f for maximum power.
 
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I suspect that either the manufacturer accidentally used the wrong carton for that magnifier, or else the people who wrote the text for the carton used some "creative license." :wink:

[added] Or maybe the person who tested the magnifier for them is an old geezer with a "near point" viewing distance greater than the 25 cm that most textbooks use as a standard.
 
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Im 14 years old! Initially i thought i mustve made a mistake, but i checked many times. Also the carton has no manufacturers name, so maybe they pulled a fast one :p
 
If you're only 14, your near point distance is probably half (or maybe even less) of the 25 cm standard. When you hold one end of a ruler close to your eye, how close along the scale can you focus?

When I started teaching, I could focus down to about 15 cm with my glasses on, or less than 10 cm with my glasses off (I'm very nearsighted). Now, I have to wear bifocals. My near point has moved outward and merged with my far point: around 15 cm in one eye and 20 cm in the other.
 
jtbell said:
If you're only 14, your near point distance is probably half (or maybe even less) of the 25 cm standard. When you hold one end of a ruler close to your eye, how close along the scale can you focus?

When I started teaching, I could focus down to about 15 cm with my glasses on, or less than 10 cm with my glasses off (I'm very nearsighted). Now, I have to wear bifocals. My near point has moved outward and merged with my far point: around 15 cm in one eye and 20 cm in the other.

As people get older, their arms just get shorter and they can't hold a newspaper far enough away to read it. :wink:
 
eightsquare said:
we get the maximum and minimum powers as 3 and 2. However the carton says the magnifying glass is 5x.

Well, 3 + 2 = 5, isn't it? :-P

To be fair, it is kinda bad from the manufacturer. But I don't think many parents will be returning their purchase because of this marketing error.

Actually I never did get to see anything interesting through such a basic microscope anyway - probably your little experiment explains why :)
 
@jtbell: I don't think my near point should have anything to do with the experiment. When the image is formed at the focus from an object at infinity, a child or an old person should have no trouble seeing it from a comfortable distance. The focal length is constant. Maybe if a person is near blind, he won't be able to see the image on the white paper but nevertheless, technically the image formed when the paper is a focal length away will be less blurred that the other positions :P
Once we get the focal length we just put it in the formula to get the magnification. Here's where the near point of the observer comes in. The magnifying power derived from the formula will be for an average adult, and I suspect that's what the manufacturers are supposed to put. Even if the magnification is less for me because D for me is less than 25, that is an observed effect unique to me. The magnification should still be standard(for an adult).

@sophiecentaur- :)

@CompuChip- Unless they are physicists ;)
 

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