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 (ng = 1.40) 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 x as the light enters the room. (Use na = 1.00)

Explanation / Answer

Here, 1 * sin40 = 1.40 * sinr

=> r = 27.33 degree

=>   shift in path x   = 2t * sin(40-27.33)/cos27.33

                                  = 2 *22 *0.24689

                                  = 10.86 mm

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