A ray of light from a liquid ( μ = 
) is incident on a system of two right angled prism of refractive indices 
& 
as shown. The ray suffers zero deviation when emerges into air from CD. The angle of incidence i is …. × 9º.
Text Solution
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CHECK THE SOLUTION.
Sol.
sin i = 
sin r 1 …(1)
sin (90 – r 1 ) = 
sin (90–r 2 )
cos r 1 = 
cos r 2 …(2)
sin i = 
sin r 2 …(3)
i = r 1
3 cos 2 r 1 + sin 2 i = 2
2 cos 2 r 1 + cos 2 r 1 + sin 2 r 1 = 2
cos 2 r 1 = 
r 1 = 45º ∴ i = 45º
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