Consider a light
ray traveling between air and
a diamond cut in the shape
shown in Figure P22.42.
(a) Find the critical angle
for total internal reflection
for light in the diamond
incident on the interface
between the diamond and
the outside air. (b) Consider the light ray incident normally
on the top surface of the diamond as shown in Figure P22.42.
Show that the light traveling toward point P in the diamond is
totally reflected. (c) If the diamond is immersed in water, find
the critical angle at the diamond–water interface. (d) When
the diamond is immersed in water, does the light ray entering
the top surface in Figure P22.42 undergo total internal reflection
at P ? Explain. (e) If the light ray entering the diamond
remains vertical as shown in Figure P22.42, which way should
the diamond in the water be rotated about an axis perpendicular
to the page through O so that light will exit the diamond
at P ? (f ) At what angle of rotation in part (e) will light first
exit the diamond at point P ?
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