# The left end of a long glass rod 8.00 {\rm cm} in diameter and with anindex of refraction of 1.60

The left end of a long glass rod 8.00 {\rm cm} in diameter and with anindex of refraction of 1.60 is ground and polished to aconvex hemispherical surface with a radius of 4.00 {\rm cm}. an object in the form ofan arrow 1.90 {\rm mm} tall, at right angles tothe axis of the rod, is located on the axis 23.0 {\rm cm} to the left of the vertexof the convex surface. part a: find the position of the image of the arrow formed by paraxial raysincident on the convex surface. part b: find the height of the image formed by paraxial rays incident onthe convex surface.

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