Monochromatic light is incident on a plane interface AB between two media of refractive indices µ 1 and µ 2 (µ 2 > µ 1 ) at an angle θ as shown in figure. The angle θ is infinitesimally greater than the critical angle for two media so that total internal reflection takes place. Now, if a transparent slab DEFG of uniform thickness and having refractive index µ 3 is introduced on the interface as shown in the figure
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(a, b)
sin C 1 =
(interface AB)
sin C 2 =
(interface GF)

Fig.
If µ 3 < µ 1 ,
<
, hence, C 2 < C 1 and total internal reflection will take place at interface G.F.
If µ 3 > µ 1 ,
>
, hence, C 2 > C 1
Therefore, C 2 > θ , hence, light ray will get refracted into the slab.
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If µ 3 < µ 1 , total internal reflection will take place at face GF