When light travels from one medium to another a small amount of the light is reflected, and most is refracted. If light strikes a boundary when travelling from a more dense to a less dense medium
The angle of refraction depends on the angle of incidence.
At the critical angle C, the angle of refraction becomes 90° and the refracted ray travels along the boundary. For light travelling from a material of refractive index n into air, sin C = 1/n.
When the angle is greater than the critical angle, you get total internal reflection.
Total Internal Reflection
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Specification: OCR Physics A (H156), AS-level, 4.4.2 Electromagnetic waves. Topic: Waves.