As you may have learned when studying the properties of thermal energy, building

Question

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 (n_g = 1.44) separated by an air gap, the light encounters the glass at an angle of 40.00 degree with respect to the glass, find the shift in path Delta x as the light enters the room. (Use n_a = 1.00)

Explanation / Answer

angle of incidence i = 90-40 = 50

from snell law of refraction

na*sini = ng*sinr1

1*sin50 = 1.44*sinr

r = 32.14 degrees

cosr = t/L

L = t/cosr

from the figure

sin(i-r) = x1/L

x1 = sin(i-r)*L

x1 = sin(i-r)*t/cosr

x1 = sin*(50-32.14)*12/cos32.14

x1 = 4.35 mm

similarly

x2 = 4.35 mm

dx = x1 + x2 = 8.7 mm <<<<<<======ANSWER

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