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in Physics by (52.4k points)

Why is that sun-glasses (goggles), which has curved surface, do not have any power?

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The two surfaces of the goggle lens are parallel i.e. possess same radii of curvature. Since one surface is convex and other equally concave, the powers of the two surface is equal but of opposite signs. The total power of the goggle lens (p’) is the algebraic sum of the powers of the individual surfaces
p’ = p1 + p2 = p + (-p) = 0

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