sapling learning you may have learned when studying the properties of thermal en

Question

sapling learning you may have learned when studying the properties of thermal energy, building contractors often Install double-glazed windows to prevent thermal energy ("heat") from entering/exiting the building Although effective as insulators, such windows present interesting optical effects. In the figure, a double-glazed window comprises two identical panes of glass (n E 1.44) separated by an air gap. the light encounters the glass at an angle of 40.000 with respect to the glass, find the shift in path Ax as the light enters the room. (Use na E 1.00) 40.00 Number mdm 62.0 mm glass 49.6 mm air glass 62.0 mm Ax

Explanation / Answer

For lateral shift, x = tsin(i-r)/cos(r)

For slab 1. sin(i)/sin(r) = 1.44
sin(50)/sin(r) = 1.44
r = 32.139
x1 = 62sin(50-32.139)/cos(32.139) = 22.4573 mm
For slab 2. sin(i)/sin(r) = 1/1.44
sin(32.139)/sin(r) = 1/1.44
r = 50
x2 = 0 [ no extra displacement]
For slab 3. x3 = x1 = 22.4573 mm
Net x = x1 + x2 + x3 = 44.91 mm

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