State two uses of total internal reflection.
Describe the conditions required for total internal reflection to occur.
A light ray travels inside a semicircular plastic block and is incident on the flat boundary with air at point AAA, as shown in the diagram.

The angle of incidence at A A\,A is 32∘32^\circ32∘. The critical angle of the plastic block is 43∘43^\circ43∘. Describe the path of the light ray after it reaches point AAA.
State the equation linking critical angle (ccc) and refractive index (nnn).
Calculate the refractive index of this plastic block. Give your answer to 3 significant figures.