Map CA Sapling Learning macmillan As you may have learned when studying the prop
ID: 1612853 • Letter: M
Question
Map CA Sapling Learning macmillan As 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. n the figure, a double-glazed window comprises two identical panes of glass (n 1.40) separated by an air gap. If 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 1.00) 40.00 Number 23.7 mm 62.0 mm glass 49.6 mm air glass 62.0 mm Ar There is a hint available! View the hint by clicking on the bottom divider bar. Click on the divider bar again to hide the hint. Close Previous Give Up & View Solution Check Answer Next Exit B HintExplanation / Answer
Writting Snell's equation for the first glass;
i = 90-40 = 50 deg
n1 = 1
n2 = 1.40
r = sin^-1(sin(50 deg)*1/1.40) = 33.17 deg
angular shift d_theta= 40 - 33.17 = 6.83 deg
shift in path due to first glass= sin(6.83 deg)*62.0/cos(33.17 deg) = 8.81 mm
Similarly shift in path due to second glass = 8.81 mm
hence total shift in path = 2*8.81 = 17.62 mm.