A drop of water (n=1.33) in the shape of a hemisphere with radius 3.0 mm sits on smooth horizontal surface of a sapphire (n=1.77). A thin laser beam enters the droplet from air and reaches the water-sapphire boundary at the exact center of their circle of contact. At that point, laser beam is completely reflected off the surface of the sapphire. a. What is the maximum height above the sapphire that the laser beam could enter the droplet to be internally reflected at the center of the droplet as described above? b. What is the angle of incidence as the beam enters the droplet?

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A drop of water (n=1.33) in the shape of a hemisphere with radius 3.0 mm sits on smooth horizontal surface of a sapphire (n=1.77). A thin laser beam enters the droplet from air and reaches the water-sapphire boundary at the exact center of their circle of contact. At that point, laser beam is completely reflected off the surface of the sapphire.

a. What is the maximum height above the sapphire that the laser beam could enter the droplet to be internally reflected at the center of the droplet as described above?

b. What is the angle of incidence as the beam enters the droplet?

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