Solve the following problem given below:
Problem: You have two containers half full with liquid 1. You then fill the two containers respectively with a layer of liquid 2 and 3. A ray of light traveling through the bottom layer (liquid 1) and into the top layer experiences total internal reflection off liquid 2 when the angle of incidence exceeds 46.6° and for liquid 3 total internal reflection occurs for angles of incidence greater than 52.9°.
A- Determine the ratio of the refractive indices of liquids 2 and 3 (n2/n3).
Please use great detail in explaining the solution. Thank you.