Both ends of a glass rod with index of refraction 1.60 are ground and polished to convex hemispherical surfaces. The radius of curvature at the left end is 6 centimeter, and the radius of curvature at the right end is 12 centimeter. The length of the rod between vertices is 25 centimeter. The object for the surface at the left end is an arrow that lies 24 centimeter to the left of the vertex of this surface. The arrow is 1.20 millimeter tall and at right angles to the axis.

a) Find the object distance for the surface at the right end of the rod?

b) Determine is the object for this surface real or virtual?

c) Determine the position of the final image?

d) Determine is the final image real or virtual?

e) Determine is it erect or inverted with respect to the original object?

f) Determine the height of the final image?