Angle of Deviation. The incident angle θa shown in Fig. P33.53 is chosen so that the...

Angle of Deviation. The incident angle θ_a shown in Fig. P33.53 is chosen so that the light passes symmetrically through the prism, which has refractive index n and apex angle A. (a) Show that the angle of deviation δ (the angle between the initial and final directions of the ray) is given by

(When the light passes through symmetrically, as shown, the angle of deviation is a minimum.) (b) Use the result of part (a) to find the angle of deviation for a ray of light passing symmetrically through a prism having three equal angles (A = 60.0^o) and n = 1.52. (c) A certain glass has a refractive index of 1.61 for red light (700 nm) and 1.66 for violet light (400 nm). If both colors pass through symmetrically, as described in part (a), and if A = 60.0^o, find the difference between the angles of deviation for the two colors.