Q.

High-quality camera lenses are often coated to prevent reflection. A lens has an optical index of refraction of 1.72 and a coating with an optical index of refraction 1.31. For near normal incidence, the minimum thickness of the coating to prevent reflection for wavelength of 5.3×107m  is

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a

0.1 μm

b

0.2 mm

c

0.75 μm

d

1.75 mm

answer is C.

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Detailed Solution

There is no net change in phase produced by the two reflections. Hence  

λ2=2μ1dcosθ
For normal incidence,  cosθ=1
d=λ4μ1=5.3x1074x1.31=107m=0.1μm
 

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