Map sapling earning As you may have learned when studying the properties of ther

Question

Map sapling earning 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. In the figure, a double-glazed window comprises two identical panes of glass (ng 1.54) separated by an air gap. If the light encounters the glass at an angle of 40.00° with respect to the glass, find the shift in path Ax as the light enters the room. (Use na 1.00) 40.00 Number mm 12.0 mm glass 9.60 mm air glass 12.0 mm Ax

Explanation / Answer

Lets consider refraction through the top glass.

We have, nair(sin i) = ng(sin r)

=> 1 * sin50o = 1.54 * sin r

=> r = 29.83o

Horizontal distance between the entry and exit of extended incident ray, Li = 12tan50o

Horizontal distance between the entry and exit of refracted ray, Lr = 12tan29.83o

x1 = (Li - Lr)sin40o = 12(tan50o - tan29.83o) * sin40o = 4.77 mm

So, x = 2x1 = (2 * 4.77) mm = 9.54 mm

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