Are the Radii R1 and R2 of a Lens Always the Same?

AI Thread Summary
The discussion centers on whether the radii R1 and R2 of a lens are always the same. It is established that the radii can indeed be different, as symmetry is not a necessary condition for lens functionality. Participants explore the implications of differing radii on lens behavior and optical properties. A reference to a Wikipedia article on lens types is provided for further clarification. Ultimately, the consensus is that R1 and R2 do not have to be identical for a lens to function effectively.
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Homework Statement



A lens is a transparent refracting medium bounded by two spherical surfaces.R1 and R2 are radii of two surfaces.

Homework Equations



Will the Radii R1 and R2 will be same or different ?

The Attempt at a Solution


I hope that they are same, otherwise there won't be symmetry. Still doubts lingers. Revered members can help.
 
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I hope that they are same, otherwise there won't be symmetry.
Why would you see symmetry as being important, in a lens? How could you go about determining what would be the effect if the radii were not identical?
 
Ok, symmetry is not important. Agreed. So, radii of two spherical surfaces that constitute a lens can be different. Am I right?
 
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