Physics, 07.11.2020 15:10 laura52677
Building contractors often install double-glazed windows to prevent thermal energy (heat) from entering or exiting a building. In addition to being effective insulators, such windows present interesting optical effects.
In the figure, a double-glazed window consists of two identical panes of glass ( g=1.50 ), each g=42.0 mm thick, separated by an air gap of a=33.6 mm . If light incident on the glass makes an angle of =40.00∘ with respect to the glass, find the shift in path Δ as the light enters the room. Use a=1.00 for the index of refraction of air.
Two parallel, horizontal rectangular regions representing glass panes, separated by an open rectangular region representing the air gap between the glass. The thickness of each glass pane is y subscript g. The thickness of the air gap is y subscript a. A light ray is incident upon the upper glass pane, and makes an angle phi with respect to the glass surface. The ray bends downward toward the normal at the air-glass boundary. The ray passes through the glass and strikes the bottom glass-air boundary, where it bends away from the normal and enters the air gap. The beam continues to the second glass sheet, where it once again bends toward the normal at the air-glass boundary. The ray passes through the second sheet and again bends away from the normal at the glass-air boundary. The ray that emerges from the second sheet propagates parallel to a straight line extending the trajectory of the ray incident on the first glass sheet, and is a perpendicular distance delta x away from it.
Δ=
mm
Answers: 3
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