A narrow laser beam travels through water (n=1.33) and strikes a flat interface leading into two possible solid materials. In Sample 1, the beam enters crown glass (n=1.52); in Sample 2, it enters acrylic plastic (n=1.49). In both cases the incident angle in the water is 28∘ measured from the normal.
(a) Determine the angle the beam makes with the normal inside the crown glass sample. Show all steps and state your final answer to the nearest tenth of a degree.
(b) Determine the angle the beam makes with the normal inside the acrylic plastic sample, expressed to the nearest tenth of a degree.
(c) Identify which of the two solids bends the beam more toward the normal, and calculate the numerical difference (in degrees) between the two refracted angles.