Mystic Darkness

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

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

Details and Assumptions:

  • \(R = 5cm\)
  • \(\mu = \frac{2}{\sqrt{3}}\)

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