For light of wavelength 589 nm, calculate the critical anglesfor the following substances when  the quartz, polystyrene,and sodium chloride are surrounded by water.

w9-10 A diamond in air is illuminated with white light. On one particular facet, the angle of incidence is 25.70°. Inside the diamond, red light (λ = 660.0 nm in vacuum) is refracted at 10.88° with respect to the normal; blue light (λ = 470.0 nm in vacuum) is refracted at 10.13°.  How would a diamond look if there were no dispersion? a. The diamond would look white.   b. The diamond would look red.   c. The diamond would look blue.   d. The diamond would be clear.

For light of wavelength 589 nm, calculate the critical anglesfor the following substances when surrounded by a substance with an index of refraction of 1.341 sodium chloride. 74.53° 60.29° 1.23° 1.4° none

A plane wavefront is incident on a concave mirror of radius of curvature R. The radius of the refracted wavefront will be: (a) 2R (b) R (c) R 2 (d) 4

10. A light ray of given wavelength, initially in air, strikes a 90° prism at P (see Fig. 39-53) and is refracted there and at Q to such an extent that it just grazes the right-hand prism surface at Q. (a) Determine the index of retraction of the prism for this wavelength in terms of the angle of incidence , that gives rise to this situation. (b) Give a numerical upper bound for the index of refraction of the prism. Show, by ray dia- grams, what happens if the angle of incidence at P is (c) slightly greater or (d) slightly less than 0₁. 90 FIGURE 39-53. Problem 10.

A ray of light is incident on an air/water interface. The ray makes an angle of θ1 = 29 degrees with respect to the normal of the surface. The index of the air is n1 = 1 while water is n2 = 1.33. Write an expression for the reflection angle ψ, with respect to the surface.