A vessel of depth H is filled with a non-homogenous liquid whose refractive index varies with y as µ = 
. What is the apparent depth
as seen by an observer from above?
Text Solution
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Sol. Let us consider a thin layer of thickness dy at a depth of y.
Apparent thickness of this elementary layer (dH') = 
= 
∴ Apparent depth (H')= 
= 
=H l n 2.
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