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.