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when the degree of convergence of a convex lens placed in air increases, we say its convexity has increased. as the power of a lens is the measure of degree of its convergence or divergence, we can increase the convexity of a lens increasing its power

this is further achieved by decreasing its focal length.
as focal length is inversly proportional to the refractive index of lens we have to decrease in order to increase its convexity.

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