Question
Question: A vessel of depth H is filled with a non-homogeneous liquid whose refractive index varies linearly f...
A vessel of depth H is filled with a non-homogeneous liquid whose refractive index varies linearly from 1 at top to 2 at bottom. Apparent depth of vessel as seen by observer from above will be nearly –
A
0.3 H
B
0.4 H
C
0.6 H
D
0.7 H
Answer
0.7 H
Explanation
Solution
m = 1+ 
Apparent thickness of the elementary layer
= 
= 
\ Apparent depth = 
= H ln 2
0.7 H