A light source is on the bottom of an tank filled with water that has a refractive index n = 4/3. A ray of light undergoes a total reflection phenomenon, and the radius of the water surface with bright vertical center of the light source is R = 50 cm. Find the height of the water layer in the tank

A light source is on the bottom of an tank filled with water that has a refractive index n = 4/3. A ray of light undergoes a total reflection phenomenon, and the radius of the water surface with bright vertical center of the light source is R = 50 cm. Find the height of the water layer in the tank.

Solution

As the light beam undergoes a total reflection phenomenon it encounters the surface r = 90^o and:

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