Can a converging lens become a diverging lens in liquid?

AI Thread Summary
A converging lens can become a diverging lens when placed in a liquid if the refractive index of the liquid is higher than that of the lens material, resulting in a negative focal length. The focal length can be calculated using the lens maker's formula, which incorporates the refractive indices of both the lens and the surrounding medium. For a converging mirror, similar principles apply, but the discussion lacks clarity on its behavior in liquid. The concept hinges on the relationship between the refractive indices and the focal lengths involved. Understanding these principles is crucial for determining the optical behavior of lenses and mirrors in different media.
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Homework Statement


(a)Can a converging lens be made to diverging if it is placed into a liquid?
(b)What if?What about a converging mirror?


Homework Equations





Homework Equations



The Attempt at a Solution

The Attempt at a Solution


(a)Let the focal length of the converging lens be f1,and the focal length of the lens be -f2.From the formula
42b3acf0ad19d7b15b4972ee9414eee1.png
,when the magnitude of f2 is larger than f1,the new focal length we get is smaller than 0,so converging lens can be made to be diverging.
Is it correct?
In (b),can we use the formula again?

THANKS!
 
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If you put an object closer than the focal length,it's light rays will be diverges,so you will see a virtual image.
 
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Try out my program,
https://dl.dropboxusercontent.com/u/260388836/index.html
 
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Your question is ambiguous haha. Did you mean to say "can a converging lens be made into a diverging lens if it is placed into a liquid?" If so you need to consider the refractive indices of the lens material and the liquid into which it's placed. If you wish to refer to an equation then use the equation that gives focal length in terms of the two refractive indices and the radii of the lens faces. Try googling.
 
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