Can a single biconvex lens provide fixed magnification?

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SUMMARY

A single biconvex lens cannot provide fixed magnification due to its dependence on both focal length and object distance. Magnification is defined as the ratio of the distance of the image to the distance of the object, and is calculated using the formula Distance of image = 1/((1/F)-(1/Object)). While the term "fixed magnification" is often used, it typically refers to angular magnification, which can have a standard value, such as 6X, but still varies with object distance. Understanding the distinction between linear and angular magnification is crucial for accurate optical analysis.

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  • Basic principles of image formation in optics
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ricardo7890
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My question is simple but i can't seem to find a straight answer. Can a single lens, a biconvex lens let's say, have a fixed magnification.I know that magnification is a factor of focal length, and object distance so the answer should be no. However, i often come across examples of simple lenses that are given some magnification number like X6 ; I've seen this in both optics books, and magnifying glasses.Magnification is Distance of image/Distance of object, and Distance of image=1/((1/F)-(1/Object)), so if the distance of an object is a factor of magnification how can a lens have a fixed magnification which doesn't take into account the distance of the object of interest.
 
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ricardo7890 said:
Can a single lens, a biconvex lens let's say, have a fixed magnification.I know that magnification is a factor of focal length, and object distance so the answer should be no.

This refers to linear magnification.

However, i often come across examples of simple lenses that are given some magnification number like X6

This refers to angular magnification.

Your optics book(s) should discuss the difference between the two. Actually, the angular magnification can also vary, strictly speaking, but there is a common formula for a "standard" angular magnification which is what the 6 in 6X refers to.
 

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