A point source is placed at a depth
in a liquid of refractive index is
. Find the percentage of energy of light that escapes from the liquid. (Assuming
transmission of emerging light)
Text Solution
Verified by ExpertsA

The portion of light escaping into the air from the liquid will form a cone. As long as the angle of incidence on the liquid - air interface is less than the critical angle, i.e.
, the light rays will undergo refraction and emerge into the air.
For
, the light rays will suffer TIR. So, these rays will not emerge into the air.
The portion of light rays emerging into the air from the liquid will form a cone of half angle 

Solid angle contained in this cone is

Percentage of light that escapes from liquid 
Putting values we get
Percentage 
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