Two rays traveling parallel to the principal axis strike a large plano-convex lens (Fig. P36.45). If the convex face is spherical, a ray near the edge does not pass through the focal point (spherical aberration occurs). Assume this face has a radius of curvature of 28.0 cm and the two rays are at distances h1 = 0.500 cm and h2 = 13.0 cm from the principal axis. The lens has a refractive index of 1.30. Find the difference Δx in the positions where each crosses the principal axis.
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