Question

A light beam inside a container of water hits the surface of the liquid/air interface. Depending...

  1. A light beam inside a container of water hits the surface of the liquid/air interface. Depending on the angle, the light beam may or may not be able to get out into the air medium. At what angle will the beam of light be totally reflected back into the liquid in the container? nliquid = 1.38 and nair = 1.00
  1. 30.0°
  2. 30.0°
  3. 30.0°
  4. 30.0°
  5. 30.0°
  6. 30.0°
  7. 30.0°
  8. 30.0°
  9. None of these
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Answer #1

According to the Snell Law

where is the index of refraction for the liquid, is the index of refraction of the air, the angle of refraction in the liquid, and the index of refraction in the air.

In the limiting case when , the light is refracted in the in the interphase of the two media. Thus,

For incident angles greater than 46.4°, the light is reflected back into the liquid.

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