FYKOS Year 32 Series 2 Problem 3 — physics trophy · FYKOS 32 #32.2.3
Physics · optics
Problem
Danka won the annual Derivative Bee and she obtained a statuette made of transparent material as a reward. This statuette is made in shape of a cube prism with an edge of a=5 cm and height of h≤a. No matter what angle she looks at the prism, she can only see the reflection on the side walls but not through it. What is the index of refraction of the material? The prism is placed in air.