Concept #1: Refraction at Spherical Surfaces

Practice: An object is embedded in glass as shown in the following figure. If the glass has a concave face, and is embedded in water, where will the image be located? Will the image be real or virtual?

Parallel rays from a distant object are traveling in air and then are incident on the concave end of a glass rod, which has a radius of curvature of magnitude 15.0 cm. The refractive index of the glass is 1.50. The image formed by refraction at the concave surface of the rod is located
(a) 5.0 cm to the left of the vertex of the curved surface
(b) 5.0 cm to the right of the vertex of the curved surface
(c) 7.5 cm to the left of the vertex of the curved surface
(d) 7.5 cm to the right of the vertex of the curved surface
(e) 45.0 cm to the left of the vertex of the curved surface
(f) 45.0 cm to the right of the vertex of the curved surface
(g) none of the above answers

A thin hemispherical bowl of clear plastic floats on water in a tank. The radius of the bowl is 50 cm and the depth of the bowl in water is 10 cm. The depth of the water (n = 1.33) in the tank is 740 cm. An object 8.0 cm long is on the bottom of the tank directly below the bowl. The object is viewed from directly above the bowl. Ignore the refractive effects of the plastic. In the figure below, the position of the image below the water level, in cm, is closest to:
A) 210
B) 220
C) 130
D) 120
E) 160