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A fish looking up through the tank sees the outside world contained in a circular horizon. If the refractive index of water is 4/3 and the fish is 12cm below the surface,what is the radius of the circle in cm ? (please see attachment for diagram)

A fish looking up through the tank sees the outside world contained in a circular horizon. If the refractive index of water is 4/3  and the fish is 12cm below the surface,what is the radius of the circle in cm ? (please see attachment for diagram)
 

Question Image
Grade:11

1 Answers

Arun
25763 Points
3 years ago
 
After makig the figure U would get the final relation as
tanthetha = r/h
where thetha is the angle making with height h (perpendicular and the hypertenuse.)
and this angle is also the TIR angle.
Therfore from,
sinthetha = 1/u = ¾
thanthetha = 3/root(7)
and r = 36/root(7)

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