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Here is a question from Oxford University's Physics Admissions Test, the PAT. This is the last question from 2017.
Please access the original paper here:
https://www.physics.ox.ac.uk/system/f...
Important to note that there are no official solutions, I am not affiliated with the university and this is simply my approach to the problem and almost certainly there are other approaches and forms of the solutions.
Here is a great problem on refractive index and in a way, reverse critical angle and total internal reflection which was fantastic to solve. It involves dropping a ring along a boundary with two separate substances with different refractive index.
I hope this is useful and let me know if you come across alternative forms of the solution!
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