rectangular glass slab ABCD, of refractive index n 1 , is immersed in water of refractive index n 2 (n 1 > n 2 ). A ray of light in incident at the surface AB of the slab as shown. The maximum value of the angle of incidence α max , such that the ray comes out only from the other surface CD is given by
Text Solution
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Ray comes out from CD, means rays after refraction from AB get, total internal reflected at AD
n 2 sin α max = n 1 sinr 1
sin α max = 
sinr 1 ...... (1)
max. value of α = r 2 = c
r 1 + c = 90
r 1 = 90 – c
sinr 1 = sin(90 – c) = cos c
sinr 1 = cos 
sin c = 
= 
c = 
Putting in I st equation
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