(Originais Teachy 2024) - Question Medium of Physics

During a Physics class on the phenomenon of light refraction, a teacher proposed an experiment to the students involving the immersion of a rectangular glass blade in the air and later in a liquid with a known refractive index. The blade was then observed laterally, and the class was challenged to determine the lateral displacement of the image observed through the blade. Knowing that the refractive index of the glass is n_v = 1.50 and that the blade has a thickness of d = 1.00 cm, the students planned the experiment and measured the image deviation, obtaining a value of 0.60 cm. Based on this information, and considering the experimental situation described, what is the refractive index of the liquid in which the glass blade was immersed? Additionally, discuss how the variation of the lateral displacement of the image would be related to a change in the inclination of the blade in relation to the direction of the incident light.