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What physical characteristic of a lens distinguishes a converging lens from a diverging lens?

User Dagg Nabbit
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A converging lens is thicker at the center and thinner at the edges:

While a diverging lens is thinner at the center and thicker at the edges:

What physical characteristic of a lens distinguishes a converging lens from a diverging-example-1
What physical characteristic of a lens distinguishes a converging lens from a diverging-example-2
User Jeremynac
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