Consider the following situation for the next two problems. A piece of transparentmaterial with unknown index of refraction is immersed in water (n = 1.333). A ray oflight propagating within the material strikes the top surface at an angle of 0, = 58° asshown below and undergoes total internal reflection. This is the smallest incidentangle for which total internal reflection can occur. The reflected ray then hits the rightside of the material and enters the surrounding water at an angle of 0,. Note: Figurenot to scale.water0f2-15 What is the index of refraction of the transparent material?(± 0.002)

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