Mystic Darkness

A uniform, horizontal beam of light is incident upon a quarter cylinder of radius R\displaystyle R, and has a refractive index μ\displaystyle\mu. Starting at a distance xx from the front of the cylinder, the table is not illuminated.

Find the value of x\displaystyle x (in cm).

Details and Assumptions:

  • R=5cmR = 5cm
  • μ=23\mu = \frac{2}{\sqrt{3}}

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