Can a normal convex lens behave like a concave lens and vice versa
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No its does not behave....
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Concave lens can behave as a convex lens when placed in a medium whose refractive index is greater than that of the material of which the concave lens is made. This is because the focal length of a concave lens is directly proportional to the refractive index of the medium (in which it is kept).
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