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A beam of light is emitted from the bottom of a pool of water. The pool...

  1. A beam of light is emitted from the bottom of a pool of water. The pool is 4 meters deep. The index of refraction of water is 1.33.

    1. (a) If the light shines up from the horizontal at an angle of 50◦, what is the angle from horizontal that the refracted beam exits the water?

    2. (b) You want to shine the light up at a point on the surface of the pool at which the light is totally internally reflected. What is the minimum distance between a point where this can happen and the point at the surface of the lake directly above the light source?

    3. (c) How long does it take for the light beam to travel from its source to this point on the surface where the light is totally internally reflected?

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