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In: Physics

As you may have learned when studying the properties of thermal energy, building contractors often install...

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

Solutions

Expert Solution

Note that from Snell's law,      
      
n1sin(t1) = n2sin(t2)      
      
where      
      
n1 = index of refraction of first medium =    1  
t1 = angle of incidence =    40   degrees
n2 = index of refraction of second medium =    1.4  
t2 = angle of refraction
      
Thus,      
      
t2 =    27.33124066   degrees

Thus, the total shift is

x = 2 * 42.0 mm / sin (27.331) * [sin (40 - 27.331)]

x = 8.46 mm   [ANSWER]


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