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Question about Geometric Optics: Parallel Plates

Physics

Originais Teachy

Geometric Optics: Parallel Plates

Very Hard

(Originais Teachy 2023) - Question Very Hard of Physics

A glass blade with an absolute refractive index of 1.5 is immersed in air and positioned in such a way that light strikes the blade at an angle of 60 degrees to the normal. The blade is so thin that it can be considered as two parallel flat surfaces. The light incident on the blade undergoes refraction twice, once at the entrance and once at the exit, causing a noticeable lateral displacement. Considering Snell's law and that sin(60 degrees) = square root of 3/2, calculate the lateral displacement suffered by the light when crossing the glass blade. Consider that the blade has a thickness of 1 mm and that the light beam strikes perpendicularly to the first surface of the blade. For your answer, you may need concepts of trigonometry and calculation of sines and cosines, as well as the application of Snell's law twice for the two refractions that occur.

Answer sheet:

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