Published by:
CGP EDU Academic Team
Published on: September 12, 2026
A hemispherical vessel is completely filled with a liquid of refractive index 
. A small coin is
kept at the lowest point 
of the vessel as shown in figure. The minimum value of the refractive index of the liquid so that a person can see the coin from point E (at the level of the vessel) is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
For the rays from coin to reach the point 
, the refracted rays must grazing the surface, i.e. they must be incident at critical angle 
inside the liquid.
is minimum when 
is maximum.
Maximum value of 
has a minimum value of 
.
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