Question

A ray of white light strikes the round side of a semi-circular dish filled with carbon tetrachloride and strikes the middle of the flat side. The index of refraction of carbon tetrachloride is 1.461 in the middle of the visible spectrum, but deviates by ± 1% at the red and blue ends.

a) What is the critical angle of incidence at which total internal reflection will occur in the middle of the visible spectrum? Be careful of rounding here. Do not round this number up. That would cause problems in a later step.

  θ_crit = °

b) If white light is shone at this critical angle, what is the angle of refraction at the red end of the spectrum?

  θ_{refraction,red} = ° If this is wrong, check that you did not round the previous answer up.

c) What is the angle of reflection at the blue end of the spectrum?

  θ_{reflection,blue} = °

Answer 1