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Question about Geometric Optics: Parallel Plates

Subject Physics

Physics

Source Originais Teachy

Originais Teachy

Topic Geometric Optics: Parallel Plates

Geometric Optics: Parallel Plates

Difficulty Easy

Easy

(Originais Teachy 2024) - Question Easy of Physics

For a Science Museum project, a group of high school students wants to create an experience that demonstrates the phenomenon of lateral deviation of light when passing through parallel slabs. They plan to use a rectangular block of transparent and homogeneous material, with a known refractive index. The structure will have the shape exemplified in the figure below, with a cross-sectional width of 10 cm and an unknown height. When a beam of light is incident parallel to the base of the block, the goal is to calculate the height h of the slab, so that the lateral displacement of light is 1.5 cm when it emerges from the block, knowing that the refractive index of the material is 1.5. Considering that light passes from a medium with a refractive index of n1 to a medium with a refractive index of n2, where n2 > n1, and that the slab is much thicker than the wavelength of light, what is the height h of the rectangular block?

The height h of the rectangular block is inversely proportional to the lateral displacement of light, and can be calculated using the formula h = k/d, where k is a constant and d is the lateral displacement.

The height h of the rectangular block is undetermined by the phenomenon of lateral deviation of light and the described conditions. The height h does not need to be calculated to solve the problem, as the lateral displacement is independent of it. Therefore, h can be any value greater than zero.

The height h of the rectangular block is equal to the lateral displacement of light, therefore, it can be determined simply by equating h to the lateral displacement value of 1.5 cm.

The height h of the rectangular block can be calculated using Snell's Law and the information of the lateral displacement of light, resulting in a specific value for h.

The height h of the rectangular block is directly proportional to the lateral displacement of light, therefore, it can be determined by multiplying the width of the cross-section by the lateral displacement.

Answer sheet:

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