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A fish looking up through the water sees...

A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is `(4)/(3)` and the fish is 12 cm below the surface, the radius of this circle is cm is

A

`36 sqrt(5)`

B

`4 sqrt(5)`

C

`36 sqrt(7)`

D

`36 // sqrt(7)`

Text Solution

Verified by Experts

The correct Answer is:
D
`sin i_(c ) = = (R )/(sqrt( R^(2) + h^(2)) )`
`rArr " " ((3)/(4))^(2) = (R^(2)) /(R^(2) + (12)^(2))`
`rArr " " R = (3)/(sqrt(7)) xx 12 = (36)/(sqrt(7)) ` cm .
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